I’m often finding myself needing to calculate the frequency of unique values in a spreadsheet. It turns out it’s a 2-step process. For example, if you have a column of data as shown below and you want to know how many times the numbers 1, 2, and 3 occur, you need to first add a column containing the unique values in column 1. Then, you can use the frequency function to calculate frequency.
1. Get Unique Values
In column 2, get the unique values in column one using the unique function:
=UNIQUE(A2:A7)
If you want, you can also sort the values as follows.
=SORT(UNIQUE(A2:A7))
2. Get Value Frequency
In column 3, get the value frequency using the frequency function. The data is in column 1 and the classes are in column 2.
FREQUENCY(data, classes)
=FREQUENCY(A2:A7, B2:B4)
Google Sheets seems to want to add an extra row with the value 0. I just ignore that.
I haven’t invested in the stock market because of its volatility and because no one I know seems to know what they are doing or have made lots of money doing it. Maybe I’m around the wrong people. I invest in real estate for the reasons listed here. If we look at a graph of house prices in the US, their values have always gone up despite occasional dips. That’s the kind of graph you want to see.
House price index for California from 1975 to 2021
Though you can make a lot of money investing in real estate, you can make even more if you invest early in certain stocks. The problem is in knowing which stocks to invest in.
DISCLAIMER: I am not a professional stock market investor. At the time of this writing, the only stocks I own are the ones given to me by my employer. This article is just my personal opinion at the time of this writing.
Investing in Index Funds
Warren Buffett, known as the “Oracle of Omaha,” is an American businessman and philanthropist, widely considered the most successful investor of the 20th century. He has amassed a personal fortune of more than $60 billion by defying prevailing investment trends. Instead of stock picking, Buffett suggested investing in a low-cost index fund. “I recommend the S&P 500 index fund,” Buffett said, which holds 500 of the largest companies in the U.S., “and have for a long, long time to people.” … “I just think that the best thing to do is buy 90% in S&P 500 index fund.” He specifically identifies Vanguard’s S&P 500 index fund. Vanguard offers both a mutual fund (VFIAX) and ETF (VOO) version of this fund. He recommends the other 10% of the portfolio go to a low-cost index fund that invests in U.S. short-term government bonds. Below are stock charts for VFIAX and VOO.
VFIAXVOO
As you can see, both have an overall consistent upward trend. If you invested in each one 10 years ago, in 2012, you could have quadrupled your investment. Twelve years ago, one share of each was about $100. And now, each is around $400. But, if you only bought 1 share, then you would have only made $300 in 12 years. What if you invest $10,000 at the time. Then, you would have made $30,000 in 12 years. Or, instead of putting 20% down on a $400K house, you put $100K in one of these funds. Then in 12 years, you would have made $300K. Though that’s not bad, you would make more in real estate, especially if you include rental income, but then again, owning rental properties is not 100% passive. Nevertheless, if you don’t want to or can’t invest in real estate, then investing in one of these funds over the long term appears to be a safe bet.
Stock Picking
If you want to pick stocks, you obviously want to pick ones that have the potential to grow fast. Tech companies seem to get more publicity for many reasons such as everyone’s familiarity with them and their potential to change the way we live. For example, there was a ton of publicity before and during Facebook’s IPO. Everyone knew what Facebook was at the time. Facebook went public on May 18, 2012, and shares closed the first day of trading at $38.23. Now, the value is $228. That’s a 6x increase in 10 years. When you invest in stocks, the general advice is you shouldn’t invest more than you can feel comfortable losing. At the time, I probably wouldn’t have minded losing $1000. Had I invested $1K in FB, the investment would be worth about $6K now (10 years later) for a $5K profit. That’s still a very petty profit. If I had $50K, which is about the cost of a down payment on a $250K house at the time, then the investment would be worth $300K now for a $250K profit. While that is a good profit, there’s no way I would have invested $50K in FB at the time because I would not have felt comfortable losing it all. With real estate investing, however, it’s so much safer and predictable that one need not worry about their losing their investment. Plus, had I invested $50K in real estate instead of FB, I would still have made a profit of $250K or more in the same period.
Following are stock price graphs of some of the biggest and most popular tech companies along with how much you could have made if 10 years ago you had invested $1000 in each.
FACEBOOK (FB)
IPO date: May 18, 2012
Opening price: $38
Price in 2012: ~38
Price in 2022: ~ $300
Price increase factor: 7.9x
Profit from $1K investment: $6900
Microsoft (MSFT)
IPO date: March 13, 1986
Opening price: $21
Price in 2012: ~50
Price in 2022: ~ $320
Price increase factor: 6.4x
Profit from $1K investment: $6400
Apple (AAPL)
IPO date: December 12, 1980
Opening price: $22
Price in 2012: ~25
Price in 2022: ~ $155
Price increase factor: 6.2x
Profit from $1K investment: $6200
Amazon (AMZN)
IPO date: May 15, 1997
Opening price: $18
Price in 2012: ~200
Price in 2022: ~ $3200
Price increase factor: 16x
Profit from $1K investment: $15000
Alphabet (GOOG)
IPO date: May 15, 1997
Opening price: $18
Price in 2012: ~200
Price in 2022: ~ $3200
Price increase factor: 16x
Profit from $1K investment: $15000
Alibaba (BABA)
IPO date: Sept. 14, 2014
Opening price: $68
Price in 2022: ~ $125
Price increase factor: 1.8x
Profit from $1K investment: $800
Netflix (NFLX)
IPO date: May 23, 2002
Opening price: $15
Price in 2012: ~15
Price in 2022: ~ $400
Price increase factor: 26x
Profit from $1K investment: $25000
Disruptive Technologies
Disruptive technologies also have a large potential for a huge gain. Everyone has heard of Tesla, the automaker that has proven that electric vehicles can replace gas vehicles. Then there’s Bitcoin which revolutionizes money.
Tesla (TSLA)
IPO date: June 29, 2010
Opening price: $3.84
Price in 2012: ~6
Price in 2022: ~ $1000
Price increase factor: 166x
Profit from $1K investment: $165000
Bitcoin (BTC)
Price in 2012: ~$320
Price in 2022: ~ $43000
Price increase factor: 134x
Profit from $1K investment: $132000
Conclusion
Based on the analysis above, if you are going to hold on to popular tech stocks for the long term, e.g. 10 years, then you’re probably safe in that you won’t lose money and will likely profit. Of course, how much you profit will depend a lot on how much you invest and luck. One pattern to note is the performance of disruptive tech (electric cars, cryptocurrency) which realized the biggest gains. Considering the above, I think a safe and good investment diversification strategy, if you are comfortable managing rental properties, is
75% real estate
5% S&P 500 index fund – mutual fund (VFIAX) and/or ETF (VOO)
Adjectives are words that describe the qualities or states of being of nouns: enormous, doglike, silly, yellow, fun, fast. They can also describe the quantity of nouns: many, few, millions, eleven.
Often, when adjectives are used together, you should separate them with a comma or conjunction.
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Please use three, white flowers in the arrangement.
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Please use three white flowers in the arrangement.
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I’m looking for a small good-tempered dog to keep as a pet.
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I’m looking for a small, good-tempered dog to keep as a pet.
Coordinate adjectives
Coordinate adjectives should be separated by a comma or the word and. Adjectives are said to be coordinate if they modify the same noun in a sentence.
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No one could open the old, silver locket.
Wrong because silver locket forms a unit modified by old.
An adverb is a word that modifies (describes) a verb (he sings loudly), an adjective (very tall), another adverb (ended too quickly), or even a whole sentence (Fortunately, I had brought an umbrella). Adverbs often end in -ly, but some (such as fast) look exactly the same as their adjective counterparts.
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That is a hastily, written note.
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That is a hastily-written note.
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That is a hastily written note.
Placement of adverbs
Place adverbs as close as possible to the words they are supposed to modify. Incorrect placement can change the meaning of the sentence, especially when it comes to the adverb only.
Phillip only fed the cat. (The only thing that Phillip did was feed the cat)
Phillip fed only the cat. (The only thing that Phillip fed was the cat)
Conjunctions are words that link other words, phrases, or clauses together, e.g.
I like cooking and eating, but I don’t like washing dishes afterward. Sophie is clearly exhausted, yet she insists on dancing till dawn.
The most common coordinating conjunctions are for, and, nor, but, or, yet, and so; you can remember them by using the mnemonic device FANBOYS. Commas are used when a coordinating conjunction is joining two independent clauses.
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I’d like pizza or a salad for lunch. We needed a place to concentrate so we packed up our things and went to the library. Jesse didn’t have much money but she got by. (missing necessary commas)
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I’d like pizza or a salad for lunch. We needed a place to concentrate, so we packed up our things and went to the library. Jesse didn’t have much money, but she got by.
Subordinating Conjunctions
Subordinating conjunctions join independent and dependent clauses.
Common subordinating conjunctions are because, since, as, although, though, while, and whereas. Sometimes an adverb, such as until, after, or before can function as a conjunction. If the dependent clause comes first, use a comma before the independent clause.
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Before he leaves, make sure his room is clean.
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I drank a glass of water because I was thirsty. Because I was thirsty, I drank a glass of water.
Prepositions indicate relationships between other words in a sentence.
Ending a Sentence With a Preposition
You are allowed to end a sentence with a preposition. Not doing so can result in an unnatural sentence.
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There’s no one else to hide behind. (Grammatically correct and natural)
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There’s no one else behind whom to hide. (Grammatically correct, but unnatural)
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Where did you come from? (Grammatically correct and natural)
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From where did you come? (Grammatically correct, but unnatural)
It is sometimes more elegant to move a preposition to an earlier spot in a sentence, especially in very serious and formal writing. But if you do move the preposition, remember to delete it from the end.
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This is something we must meditate on.
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This is something on which we must meditate.
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This is something on which we must meditate on.
Unnecessary Prepositions
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Where is your brother at?
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Where is your brother?
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For many people, the reality of an entry into a new area of employment is cause for a host of anxieties.
Personal pronouns are pronouns that refer to specific individuals and groups, e.g. I/me, She/her, He/him, They/them, We/us, You.
Antecedents
Antecedents are the things that pronouns refer to, e.g. My family tests my patience, but I love them.
Relative pronouns
Relative pronouns connect relative clauses to independent clauses. Relative pronouns are that, what, which, who and whom.
who refers to people
which and that refer to animals or things
Examples
The womanwho called earlier didn’t leave a message.
All the dogsthat got adopted today will be loved.
My car, which is nearly twenty years old, still runs well.
Who vs. whom—subject and object pronouns
who is for the subject of a sentence
whom is for the object of a verb or preposition
Examples
Who mailed this package?
To whom was this package sent?
Demonstrative pronouns
That, this, these, and those.
Indefinite pronouns
Indefinite pronouns are used when you need to refer to a person or thing that doesn’t need to be specifically identified. Some common indefinite pronouns are one, other, none, some, anybody, everybody, and no one.
Reflexive pronouns
Reflexive pronouns end in -self or -selves, e.g. myself, themselves.
Example: I saw myself in the mirror.
Using myself when you mean me is a common mistake writers and speakers make. Reflexive pronouns are only correct when the subject and object of a sentence are the same.
Intensive pronouns
Intensive pronouns look the same as reflexive pronouns, but their purpose is different. Intensive pronouns add emphasis.
Example: I told them I could do it myself.
Possessive pronouns
E.g. my, your, our.
Example: I crashed my bike into a telephone pole.
Independent possessive pronouns
E.g. mine, yours, theirs.
Example: She forgot her jacket, so I gave her mine.
Interrogative pronouns
Who, what, which, and whose.
Example: What is your name?
Reciprocal pronouns
Each other, one another.
Distributive pronouns
Either, Each, Neither, Any, None
Pronouns and gender identity
The most common gender-neutral pronoun is the singular they.
A contraction is a shortened form of a word (or group of words) that omits certain letters or sounds, e.g. He would=He’d. I have=I’ve. They are=They’re. You cannot=You can’t.
Less common contractions
something -> somethin’
ever -> e’er
you all -> y’all
1960s -> 60’s
Apostrophes and Possessive Nouns
For most singular nouns, add apostrophe+s:
The dog’s leash.
The writer’s desk.
The planet’s atmosphere
For most plural nouns, add only an apostrophe:
The dogs’ leashes (multiple dogs).
The writers’ desks (multiple writers).
The planets’ atmospheres (multiple planets).
For plural nouns that do not end in s, add apostrophe+s:
The children’s toys.
The geese’s migration route.
Style guides vary in their recommendations of what to do when you have a singular proper noun that ends in s.
Charles Dickens’ novels
Kansas’ main airport
Charles Dickens’s novels
Kansas’s main airport
No matter which style guide you use, add only the apostrophe to plural proper nouns that end in s:
The Harrises’ house
The Smiths’ vacation
How to Write Joint Possession
When one thing belongs to two or more people, make only the final name possessive:
Bob and Jim’s bait shop (Bob and Jim co-own the same bait shop)
Ryan, Jessica, and Elinor’s parents (All three share the same parents)
When you’re talking about separate things that belong to different people, make all the names possessive:
Bob’s and Jim’s bait shops (Bob owns one bait shop and Jim owns a different one)
Ryan’s, Jessica’s, and Elinor’s parents (Each has a different set of parents)
Apostrophes and Plurals
With very few exceptions, apostrophes do not make nouns plural. The one notable exception to this rule is the plural form of lowercase letters, which are formed with an apostrophe to prevent misreading:
A colon introduces an element or series of elements that illustrates or amplifies the information that preceded the colon. While a semicolon normally joins two independent clauses to signal a close connection between them, a colon does the job of directing you to the information following it. When a colon appears in a sentence, it usually gives the silent impression of “as follows,” “which is/are,” or “thus.”
There are three types of muscle in the body: cardiac, smooth, and skeletal.
We have two options here: stay and fight, or run like the wind.
He ended with the immortal words of Neil Young: “Rock and Roll can never die.”
Misuse of Colons
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The three types of muscle in the body are: cardiac, smooth, and skeletal.
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The three types of muscle in the body: cardiac, smooth, and skeletal.
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When I graduate, I want to go to: Rome, Israel, and Egypt.
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When I graduate, I want to go to Rome, Israel, and Egypt.
While a period ends a sentence, a comma indicates a smaller break. Some writers think of a comma as a soft pause—a punctuation mark that separates words, clauses, or ideas within a sentence.
Comma with Subjects and Verbs
With few exceptions, a comma should not separate a subject from its verb.
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My friend Cleo, is a wonderful singer.
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My friend Cleo is a wonderful singer.
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The things that cause me joy, may also cause me pain.
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The things that cause me joy may also cause me pain.
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Navigating through snow, sleet, wind, and darkness, is a miserable way to travel.
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Navigating through snow, sleet, wind, and darkness is a miserable way to travel.
Comma Between Two Nouns in a Compound Subject or Object
Don’t separate two nouns that appear together as a compound subject or compound object.
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Cleo, and her band will be playing at Dockside Diner next Friday.
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Cleo and her band will be playing at Dockside Diner next Friday.
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Cleo will wear a sparkly red blazer, and high heels.
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Cleo will wear a sparkly red blazer and high heels.
When a subject or object is made up of two items and the second item is parenthetical, you can set off the second item with commas—one before it and one after it. But you don’t need a comma when you’re simply listing two items.
Comma Between Two Verbs in a Compound Predicate
You get a compound predicate when the subject of a sentence is doing more than one thing. In a compound predicate that contains two verbs, don’t separate them with a comma.
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Cleo will sing, and play the banjo.
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Cleo will sing and play the banjo.
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I meant to buy tickets for Cleo’s show, but ran out of time.
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I meant to buy tickets for Cleo’s show but ran out of time.
Don’t use a comma in compound predicates unless there is a chance of misreading:
Cleo spotted the man who entered the diner, and waved.
In the sentence above, you need the comma to make clear that it was Cleo who waved, not the man.
Comma Splices
When you want to join two independent clauses, you need a conjunction or a semicolon. A comma alone isn’t strong enough to join them. This kind of mistake is called a comma splice.
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We were out of milk, I went to the store.
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We were out of milk, so I went to the store.
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We were out of milk; I went to the store.
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We were out of milk. I went to the store.
Comma After Introductory Phrase
A comma normally follows participial phrases that introduce a sentence:
Grabbing her umbrella, Kate raced out of the house. Confused by her sister’s sudden change in mood, Jill stayed quiet.
When an adverbial phrase begins a sentence, it’s often followed by a comma but it doesn’t have to be, especially if it’s short. As a rule of thumb, if the phrase is longer than about four words, use the comma. You can also use a comma with a shorter phrase when you want to emphasize it or add a pause for literary effect.
After the show, Cleo will be signing autographs.
Behind the building there is enough space to park two limousines.
Without knowing why, I crossed the room and looked out the window.
In 1816 life was very different.
Suddenly, an angry black cat sprang from the shadows.
But, if there is a chance of misreading the sentence, use the comma:
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Before eating the family said grace.
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Before eating, the family said grace.
Comma Within a Comparison
Don’t use a comma before “than” when you’re making a comparison.
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This box is lighter, than that box.
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This box is lighter than that box.
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Hardcover books are more expensive, than paperback books.
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Hardcover books are more expensive than paperback books.
Commas with Interrupters or Parenthetical Elements
Interrupters are little thoughts that pop up in the middle of a sentence to show emotion, tone, or emphasis. A parenthetical element is a phrase that adds extra information to the sentence but could be removed without changing the meaning of the sentence. Both interrupters and parenthetical elements should be set off with commas.
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The weather I was happy to see was beginning to clear.
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The weather, I was happy to see, was beginning to clear.
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Geoff’s cooking skills if you can call them skills left something to be desired.
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Geoff’s cooking skills, if you can call them skills, left something to be desired.
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It was sadly the last day of camp.
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It was, sadly, the last day of camp.
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Mary unlike Anne is very organized.
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Mary, unlike Anne, is very organized.
Comma with a Question Tag
A question tag should be preceded by a comma.
These willow trees are beautiful, aren’t they?
You didn’t actually write a 600-page vampire romance novel, did you?
I know, right?
Comma with Direct Address
When addressing another person by name, set off the name with commas.
Mom, I can’t find my shoes!
Cleo, there’s someone on the phone for you.
Hello, Chester.
Comma with an Appositive
An appositive is a word or phrase that refers to the same thing as another noun in the same sentence. Often, the appositive provides additional information about the noun or helps to distinguish it in some way. If you could remove the appositive without changing the meaning of the sentence, it is said to be nonessential and should be set off with commas. If the appositive is necessary, it’s said to be essential and it should not be set off with commas.
Nonessential appositives:
My sister, Angela, is a wonderful cook.
The painter, one of the city’s most promising young artists, began showing his work in galleries before he was sixteen.
Chocolate, my favorite treat, always makes me feel better after a bad day.
Essential appositives:
Edgar Allan Poe’s poem The Raven is a classic.
Alec Baldwin’s brother Stephen is the most underrated Baldwin.
The detective Sherlock Holmes is one of literature’s greatest sleuths.
Commas in Dates
When writing a date in month-day-year format, set off the year with commas.
July 4, 1776, was an important day in American history. I was born on Sunday, May 12, 1968.
If you are using the day-month-year format, however, commas are unnecessary.
Applications are due by 31 December 2016.
If you are referencing a day of the week and a date, use a comma:
On Tuesday, April 13, at three o’clock, there will be a meeting for all staff.
Please join us on Saturday, June 14, 2010, for the marriage of Annie and Michael.
When you are referencing only a month and year, you don’t need a comma.
The region experienced record rainfall in March 1999.
Comma Between Coordinate Adjectives
When multiple adjectives modify a noun to an equal degree, they are said to be coordinate and should be separated by commas. One way to tell whether the adjectives are coordinate is to try switching the order of them. If the sentence still sounds natural, the adjectives are coordinate.
That man is a pompous, self-righteous, annoying idiot.
That man is a self-righteous, annoying, pompous idiot.
The sweet, scintillating aroma of cinnamon buns filled the kitchen.
The scintillating, sweet aroma of cinnamon buns filled the kitchen.
If the adjectives are not coordinate, don’t separate them with a comma.
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The adorable, little boy was eating ice cream.
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The adorable little boy was eating ice cream.
Comma Before But
Use a comma before the word but if it is joining two independent clauses:
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Cleo is a good singer but she’s an even better dancer.
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Cleo is a good singer, but she’s an even better dancer.
If but is not joining two independent clauses, leave the comma out.
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My teacher is tough, but fair.
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My teacher is tough but fair.
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Life is, but a dream.
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Life is but a dream.
Comma Before And
When you have a list that contains only two items, don’t use a comma before the and.
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My dog Charlie is cute, and smart.
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My dog Charlie is cute and smart.
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Cleo’s favorite activities are singing on stage, and relaxing in the sunshine.
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Cleo’s favorite activities are singing on stage and relaxing in the sunshine.
When correcting a comma splice, that is when joining two independent clauses with a coordinating conjunction, put the comma before and.
Commas with Lists
When you have a list that contains more than two elements, use commas to separate them.
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Julie loves ice cream books and kittens.
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Julie loves ice cream, books, and kittens.
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Julie loves ice cream, books and kittens.
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I cleaned the house and garage, raked the lawn, and took out the garbage.
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I cleaned the house and garage, raked the lawn and took out the garbage.
The comma before the and in a list of three or more items is optional.
Serial Comma (Oxford Comma)
When you are listing three or more items, commas should separate each element of the list. However, the final comma—the one that comes before the and—is optional. This comma is called the serial comma or the Oxford comma.
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Mary needs bread, milk, and butter at the grocery store. (With serial comma)
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Mary needs bread, milk and butter at the grocery store. (Without serial comma)
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I still have to buy a gift, pack the suitcases, and arrange for someone to water the plants while we’re at the wedding. (With serial comma)
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I still have to buy a gift, pack the suitcases and arrange for someone to water the plants while we’re at the wedding. (Without serial comma)
Though the serial comma is optional, it is occasionally necessary for clarity.
I dedicate this award to my parents, Jane Austen and Albert Einstein. (Is the award dedicated to the parents and to Jane and Albert or are Jane and Albert the names of the parents?)
I dedicate this award to my parents, Jane Austen, and Albert Einstein. (The award is dedicated to the parents and to Jane and Albert)
Comma Separating a Verb and Its Object
Don’t separate a transitive verb from its direct object with a comma.
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I’m glad I trained, Charlie not to beg for scraps.
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I’m glad I trained Charlie not to beg for scraps.
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Mary said, she likes chocolate.
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Mary said she likes chocolate.
Comma with Nonrestrictive Clause
A nonrestrictive clause offers extra information about something you have mentioned in a sentence, but the information isn’t essential to identify the thing you’re talking about. Nonrestrictive clauses are usually introduced by which or who and should be set off by commas.
Posey’s Cafe, which Chester recommended, is a fantastic restaurant.
My wife, whom I love dearly, is a brilliant physicist.
Comma with Restrictive Clauses
A restrictive clause adds necessary information about something you have mentioned in a sentence. Restrictive clauses are often introduced by that or who and should never be set off by commas.
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The cafe, that Chester recommended, is a fantastic restaurant.
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The cafe that Chester recommended is a fantastic restaurant.
Comma Between Correlative Conjunctions
Correlative conjunctions are conjunctions that come in pairs (such as either/or, neither/nor, and not only/but also) and connect words or phrases in a sentence to form a complete thought. Typically, commas are unnecessary with correlative conjunctions.
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Either the blue shirt, or the red sweater will look good with your jeans.
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Either the blue shirt or the red sweater will look good with your jeans.
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You can wear a pashmina not only for warmth, but also for fashion.
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You can wear a pashmina not only for warmth but also for fashion.
Comma Between Direct Quote and Attributive Tag
An attributive tag is a phrase like “he said” or “she claimed” that identifies the speaker of a quote or piece of dialogue. Attributive tags can come before, after, or even in the middle of a quote. Use commas to separate attributive tags from quotations.
The professor remarked, “How attentive you have been today!”
“Once you know the solution,” Tiffany said, “the whole problem seems very simple.”
“You have ice cream on your nose,” my friend snickered.
“When you leave the house,” my mother yelled, “don’t slam the door!”
If a quotation before an attributive tag ends in a question mark or exclamation point, however, there’s no need for a comma.
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“You have a spider on your nose!”, my friend yelled.
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“You have a spider on your nose!” my friend yelled.
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“Where did that spider come from?”, I asked.
✓
“Where did that spider come from?” I asked.
Comma Inside Quotation Marks
In American English, commas always go before closing quotation marks.
“Pass me that thesaurus,” said Matthew.
“If you knew what was good for you, you’d sit down and finish that essay right now,” my roommate said.
“We’re going down to the soup kitchen to help serve dinner,” her mother called.
In British English, however, unquoted punctuation typically follows the quotation marks. If you are writing for a British audience, put the comma after the closing quotation mark. Furthermore, British English tends to use single quotes rather than double quotation marks.
Comma Before Parenthesis
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After opening the new cookie tin, (and eating several of the cookies), Chester had a hard time replacing the lid.
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After opening the new cookie tin (and eating several of the cookies,) Chester had a hard time replacing the lid.
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After opening the new cookie tin, Chester had a hard time replacing the lid.
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After opening the new cookie tin (and eating several of the cookies), Chester had a hard time replacing the lid.
Comma with As Well As
The phrase “as well as” usually doesn’t require commas unless it’s part of a nonrestrictive clause.
Please proofread for grammatical mistakes as well as spelling.
Spelling mistakes, as well as grammatical errors, are distracting to readers.
Comma with Such As
The phrase “such as” requires commas if it introduces a nonrestrictive clause.
Coniferous trees, such as pine and spruce, do not drop their needles in the winter.
If “such as” introduces a restrictive clause, omit the commas.
Trees such as pine and spruce do not drop their needles in the winter.
Comma Before Too
Using a comma before “too” is optional. A comma simply adds emphasis.
There are three forms of dashes: em, en, and the double hyphen. The most common types of dashes are the en dash (–) and the em dash (—).
Em Dashes
Em dashes can replace parentheses at the end of a sentence or when multiple commas appear in a parenthetical phrase.
Example
After a split second of hesitation, the second baseman leaped for the ball (or, rather, limped for it).
After a split second of hesitation, the second baseman leaped for the ball—or, rather, limped for it.
Em dashes can also replace colons.
Example
He is afraid of two things: spiders and senior prom.
He is afraid of two things—spiders and senior prom.
Writers and transcriptionists replace unknown, censored, or intentionally omitted letters with em dashes. In these cases, em dashes appear in pairs or threesomes.
Example
A former employee of the accused company, ———, offered a statement off the record.
“H—— are all the same. They cause trouble wherever they go.”
Carved into the dresser drawer was a faded inscription: “Made for Kristina, by your de——ted sailor.”
En Dashes
The en dash is often used to indicate spans of time or ranges of numbers. In this context, the dash should be interpreted as meaning either “to” or “through.”
Example
The teacher assigned pages 101–181 for tonight’s reading material.
The scheduled window for the cable installation is 1:00–3:00pm.
The 2015–2016 fiscal year was the most profitable year for the new business.
The en dash may also be used to indicate a connection between two words.
Example
The pro-choice–pro-life argument is always a heated one.
The Nobel Prize–winning author will be reading from her book at the library tonight.
Those three little dots are called an ellipsis (plural: ellipses). You can use an ellipsis to show that you’ve omitted some words, e.g.
Hamlet asked whether it was “nobler . . . to suffer the slings and arrows of outrageous fortune or to take arms against a sea of troubles.”
You can also use an ellipsis to show a pause in speech or that a sentence trails off. This technique doesn’t belong in formal or academic writing, though. You should only use the ellipsis this way in fiction and informal writing.
Andrew, can you, um . . . never mind, I forgot what I was saying. So, do you think we should . . . ?
How Many Dots?
There are 3 dots in an ellipsis. But, if the ellipsis comes immediately after a grammatically complete sentence, that sentence still needs its own period. So you would end up with a period followed by 3 dots. For example:
“Call me Jonah. My parents did, or nearly did. They called me John.”
could be shortened to
“Call me Jonah. . . . They called me John.”
Spacing
Whether you put spaces between the dots or not is a matter of style. The Chicago Manual of Style calls for spaces between every ellipsis point. The AP Stylebook says to treat the ellipsis as a three-letter word, with spaces on either side of the ellipsis but no spaces between the dots. For example,
Exclamation points go at the end of exclamatory sentences. An exclamatory sentence is one that expresses a strong or forceful emotion, such as anger, surprise, or joy.
I got a perfect score on the SAT! Get out of my sight!
Occasionally, you might see one at the end of a sentence that is phrased as a question.
Careful! That spider is poisonous. Holy cow! How could I have forgotten to pack underwear!
Exclamatory Quotations
Put the exclamation point inside the closing quotation marks if it applies to the words enclosed by the quotation marks.
“There’s a spider on my arm!” yelped Jeremy.
If the exclamation point applies to the sentence as a whole, then place it at the very end.
And then the paramedics tried to tell Jeremy it was “only a spider”!
Exclamation Points and Parentheses
Put the exclamation point inside the parentheses when it applies to the words inside the parentheses.
Jeremy didn’t find out until later what kind of spider it was (a black widow!).
Put the exclamation point outside the parentheses if it applies to the whole sentence.
They settled out of court and Jeremy got a million dollars (cash)!
Exclamation marks are considered to be relatively casual, so using them in business or formal academic writing is a no-no. Instead of relying on exclamation points to convey your urgency or excitement, use more vivid vocabulary. Instead of “Make sure you finish this by tomorrow morning!” try “It’s crucial that you finish this before tomorrow morning’s deadline.”
A hyphen (-) is a punctuation mark that’s used to join words or parts of words. It’s not interchangeable with other types of dashes. Use a hyphen in a compound modifier when the modifier comes before the word it’s modifying.
Hyphen with Compound Modifiers: Two-Word Adjectives Before Nouns
A compound modifier is made up of two words that work together to function like one adjective. When you connect words with the hyphen, you make it clear to readers that the words work together as a unit of meaning.
Use a Hyphen in an Noun and an Adjective (Before the Noun They Describe)
NOUN-ADJECTIVE NOUN
✓
This rock-hard cake is absolutely impossible to eat.
✓
We’re looking for a dog-friendly hotel.
Don’t Use a Hyphen in Compound Modifiers That Come After the Noun They Describe
Generally, you need the hyphen only if the two words are functioning together as an adjective before the noun they’re describing. If the noun comes first, leave the hyphen out.
This wall is load bearing.
It’s impossible to eat this cake because it is rock hard.
Is this hotel dog friendly?
Don’t Use a Hyphen in an Adverb and an Adjective (Before the Noun They Describe)
You also don’t need a hyphen when your modifier is made up of an adverb and an adjective.
ADVERB ADJECTIVE NOUN
✗
Do you expect me to believe this clearly-impossible story?
✓
Do you expect me to believe this clearly impossible story?
Don’t Use a Hyphen in a Multi-word Proper Noun (Before the Noun They Describe)
You also don’t need a hyphen when your modifier is made up of a proper noun consisting of multiple words as the capital letters group the words. Source
PROPER NOUN NOUN
✗
Our product as Six-Sigma accuracy?
✓
Our product as Six Sigma accuracy?
Use a Hyphen in a Noun or Adjective and a Present Participle (Before the Noun They Describe)
When we combine a noun or adjective and a present participle (a word ending in ‑ing) to form a unit of meaning that describes another word, use a hyphen to make that unit of meaning clear.
NOUN-PRESENT PARTICIPLE NOUN
✗
It’s recommended you don’t take down any load bearing walls when renovating.
In this sentence, it sounds like you shouldn’t take down any load that is holding up a wall. A hyphen should be inserted between load and bearing to make it clear that we’re talking about walls that are bearing a load.
✓
It’s recommended you don’t take down any load-bearing walls when renovating.
ADJECTIVE-PRESENT PARTICIPLE NOUN
✗
There are some beautiful looking flowers in the garden.
Without the hyphen between beautiful and looking, your reader may stumble over the sentence. Perhaps there’s a new type of daisy called the “looking flower”?
✓
There are some beautiful-looking flowers in the garden.
Don’t Use a Hyphen With a Noun or Adjective and a Present Participle (After the Noun They Describe)
Don’t use a hyphen when the modifier comes after the noun it’s describing. Compare the following:
Fast-acting medication can be useful when one has a headache.
This medication is fast acting.
Don’t Use a Hyphen in an Adverb and a Participle (Before the Noun They Describe)
ADVERB PARTICIPLE NOUN
✗
The room was like a heavily-decorated chocolate box.
✓
The room was like a heavily decorated chocolatebox.
Use a Hyphen in a Noun and Past Participle (Before the Noun They Describe)
Compound modifiers that contain a past participle also follow the same rules as any other compound modifier. Use a hyphen when the compound goes before the noun it modifies:
NOUN-PAST PARTICIPLE NOUN
✓
The municipal government is funding a community-based education system.
✓
Wind-powered generators can be excellent sources of electricity.
✓
Many veterinarians find meat-fed cats to be quite healthy.
Don’t Use a Hyphen in a Noun and Past Participle (After the Noun They Describe)
Don’t use a hyphen when the compound comes after the noun it describes. Compare the following:
A well-known local singer will perform tonight.
The singer performing tonight is well known.
Hyphenated Compound Words
Hyphenated compound words are the ones (obviously) with a hyphen between the words. Over time, many hyphenated compounds become closed compounds—teen-ager became teenager for instance. Check a dictionary if you’re not sure whether to use a hyphen or not. Here are a few examples of common hyphenated compound words:
Mother-in-law
Master-at-arms
Editor-in-chief
Ten-year-old
Factory-made
Twelve-pack
Closed Compound Words
Hyphenated words tend to become closed compounds (single words with no hyphens) over time. Email instead of e-mail, for example, is increasingly common. If you aren’t sure whether a words is a closed compound or a hyphenated one, check your preferred dictionary.
Notebook
Superman
Waistcoat
Bookstore
Fireman
Open Compound Words
Open compounds are typically made up of two nouns that are used together to represent a single idea. “Open” means that there is a space between the two words and no hyphen. A good dictionary is the best place to check whether a compound is open or not.
Living room
Real estate
Dinner table
Coffee mug
Hyphens and Numbers
Numbers between twenty-one and ninety-nine should be hyphenated when they’re spelled out.
Fifty-six bottles of pop on the wall, fifty-six bottles of pop…
No, I won’t party “like it’s nineteen ninety-nine.”
I’ve got a hundred twenty-two of these gizmos to sell.
Hyphen in Compound Adjective With Numbers
When numbers are used as the first part of a compound adjective, use a hyphen to connect them to the noun that follows them. This applies whether the number is written in words or in digits.
The president of the company gave a 10-minute speech to the Board of Directors.
He is knowledgeable in thirteenth-century politics.
The boy threw a rock at the second-story window.
However, a hyphen is not required if the number is the second word in the compound adjective.
He is a victim of Type 2 diabetes.
This elevator doesn’t go down to Basement 3.
Hyphen In Compound Adjective With Fractions
When using a fraction (e.g. half or quarter) as part of a compound adjective, it should be hyphenated so the reader understands which fraction is modifying which noun.
I half-wanted to commit a felony.
A quarter-million dollars is still a large amount of money.
You’ll need one-third of a pound of flour and one egg.
That’s a half-baked idea if I ever heard one!
Hyphen With Prefixes: Ex-, Self-, All-
Use a hyphen with the prefix ex- (meaning former).
Don’t sit Adam next to Martha! She’s his ex-wife!
Though he no longer held an official position, the ex-mayor still attended all the town’s functions.
Use a hyphen with the reflexive prefix self-.
Lying on the floor beside the plant he had knocked over and chewed on, the cat looked extremely self-satisfied.
Do you want a self-serve or a full-serve gas station?
Make sure you don’t confuse the prefix self- with the noun self.
The self serves no other.
When using all as a prefix, add a hyphen.
It’s a bad leader who thinks of himself as all-powerful.
Hyphens with High or Low
When using high or low as part of a compound adjective, use a hyphen when the compound comes before the noun it’s modifying. Some examples of compound adjectives using high and low include high-level/low-level and high-impact/low-impact.
Low-flying airplanes contribute to the noise pollution in the area.
This car runs best on high-octane gasoline.
Low-income families often face more stress than their higher-income counterparts.
A high-interest savings account is one of the best ways to save money.
Parentheses are punctuation marks that are used to set off information within a text or paragraph. They can enclose a single word, a phrase, or even an entire sentence. Typically, the words inside the parentheses provide extra information about something else in the sentence.
Curators from the American Museum of Natural History (AMNH) have announced a new dinosaur exhibit. While walking down the street (paying more attention to her phone than to her feet), Catherine tripped over the curb and sprained her ankle.
Brackets, sometimes called square brackets, are most often used to show that words have been added to a direct quotation. Sometimes, when quoting a person or document, adding a word or two is necessary to provide enough context for the quote to make sense. For example, the original sentence you want to quote might read “We went and had a great time.” Out of context, this sentence doesn’t mean much. But you can add bracketed information to make the context clear.
“We went [to the new dinosaur exhibit] and had a great time.”
It’s extremely important to use brackets when you change a direct quote—forgetting to add them results in a misquote.
Parentheses or Brackets With Surrounding Punctuation
Treat parentheses or brackets and the words inside them as separate from the rest of the sentence. Any sentence that contains a parenthetical element should still make sense if the element is removed.
✗
Meena (studied all night for) the grammar test.
✓
Meena studied (all night) for the grammar test.
✓
Meena studied for the grammar test.
Periods, question marks, and exclamation points should go before the closing parenthesis or bracket only if they belong to the words inside the parentheses or brackets. If the punctuation belongs to the surrounding sentence, put them outside the parentheses or brackets. Never put a comma immediately before a closing parenthesis.
✗
After dinner (an enormous, healthy salad,) Posey treated herself to ice cream.
✗
After dinner, (an enormous, healthy salad) Posey treated herself to ice cream.
✓
After dinner (an enormous, healthy salad), Posey treated herself to ice cream.
In American English, the period goes inside the closing quotation mark at the end of a sentence.
My mother loved to remind me of the old saying “waste not, want not.” Phillip said, “I can’t remember where I heard about the banjo concert, but I sure want to go.”
Periods and Parentheses
When a complete, independent sentence is entirely enclosed by parentheses, the period goes inside the closing parenthesis.
Charlie scarfed up every Cheeto that fell out of the bag. (I wasn’t fast enough to stop him.) At least we won’t have to sweep the floor.
But, if the parenthetical material is nested inside another sentence, the period should go on the outside.
Charlie barked wildly when he caught the scent of fresh bacon (his favorite).
Ellipses
An ellipsis (plural: ellipses) looks like three periods in a row with spaces in between them. There are two main uses for ellipses. One is to show that part of a quote has been omitted.
Hamlet asked whether it was “nobler . . . to suffer the slings and arrows of outrageous fortune or to take arms against a sea of troubles.”
You can also use an ellipsis for literary effect, to represent a dramatic pause or a thought that trails off.
The bus was supposed to come at 3:00 so we waited and waited . . . and waited. Wait a minute . . . If you’re not watching Charlie, who is? I guess we could meet you there later. If there’s time . . .
Keep the question mark inside the quotation marks if it logically applies to what is enclosed by the quotation marks. You’ll often see this in written dialogue:
The chicken asked, “Why is everyone so concerned about where I’m walking?” “What do you have to hide?” asked the nosy reporter.
If the question mark applies to the sentence as a whole instead of to the phrase inside the quotation marks, put it at the very end:
Haven’t you ever heard the expression “It’s a free country”?
This holds true even when you have a quotation containing a question:
“When I spoke to the chicken, she said ‘Why won’t you leave me alone?’” recalled the reporter.
And for a quoted question containing a quoted statement:
“What did the chicken mean,” the reporter wondered, “when she said ‘It’s a free country’?”
When you have a question mark that applies to both the quoted phrase and the rest of the sentence, just use one question mark:
Who said “Why did the chicken cross the road?”
Question Marks and Parentheses
If a question mark applies to the parenthetical information, place the question mark inside the parentheses:
I saw the chicken (or was it the rooster?) crossing the road.
The chicken wrote a bestselling memoir called My Road (published abroad as Who Needs a Crosswalk?).
When the question applies to the whole sentence, put it outside the parentheses:
Will the chicken cross the road again tomorrow (April 1)?
Quotation Marks and Dialogue
Quotation marks are used to identify words that someone has said or a direct quote from a person in an article or quoting material that was written by someone else.
American vs. British Quotation Marks
American English uses double quotation marks (“ ”) for quotes and reserves single quotation marks (‘ ’) for quotes within quotes. In British English, the convention is the opposite. Another difference is that in American English, periods and commas go before closing quotation marks. In British English, they go after the closing quotation mark. The guidelines below apply to American English.
Dialogue
When writers become confused about quotation marks, it usually has to do with where to put other nearby punctuation. Below is an example of a conversation between two characters, with their dialogue correctly punctuated.
Martin said, “I’m going over to Jennifer’s house for a few hours.”
“You can’t be serious!” cried Fauntleroy.
“Oh, but I am,” Martin replied.
“How will you get there?” Fauntleroy asked.
“I thought I’d take the bus.”
“And,” Fauntleroy continued, “exactly how long is ‘a few hours’?”
“Probably two or three.”
“Well . . . fine. Tell Jennifer I said hello.”
Non-Dialogue Quotations
✗
The mayor said his two golden retrievers were “the best dogs in the world. I’m not a cat person.”
✓
The mayor said his two golden retrievers were “the best dogs in the world” and added that he was not a cat person.
Scare Quotes
Occasionally, writers enclose certain terms they wish to distance themselves from in quotation marks.
Silicon Valley has fully embraced the “sharing economy.”
Sometimes, scare quotes are needed to indicate that the writer is not talking about something in general, but rather a specific term itself.
For too many people, “computer security” is an oxymoron.
Semicolons (;) are as basic as a period stacked on top of a comma.
The most common use of the semicolon is to join two independent clauses without using a conjunction like and. Don’t use a capital letter after a semicolon. A semicolon should be followed by a capital letter only if the word is a proper noun or an acronym.
We can go to the museum to do some research; Mondays are pretty quiet there.
Semicolons Connect Related Independent Clauses
You can use a semicolon to join two closely related independent clauses. Let’s put that another way. The group of words that comes before the semicolon should form a complete sentence, the group of words that comes after the semicolon should form a complete sentence, and the two sentences should share a close, logical connection:
I ordered a cheeseburger for lunch; life’s too short for counting calories.
Money is the root of all evil; I don’t believe the reverse is necessarily true.
Martha has gone to the library; Andrew has gone to play soccer.
Notice that the letter following the semicolon is not capitalized.
Delete the Conjunction When You Use a Semicolon
I saw a magnificent albatross, and it was eating a mouse.
I saw a magnificent albatross; it was eating a mouse.
Use Semicolons in a Serial List
You can use semicolons to divide the items of a list if the items are long or contain internal punctuation. In these cases, the semicolon helps readers keep track of the divisions between the items.
I need the weather statistics for the following cities: London, England; London, Ontario; Paris, France; Paris, Ontario; Perth, Scotland; Perth, Ontario.
My plan included taking him to a nice—though not necessarily expensive—dinner; going to the park to look at the stars, which, by the way, are amazing this time of year; and serenading him with my accordion.
Use Semicolons With Conjunctive Adverbs
When you have a conjunctive adverb linking two independent clauses, you should use a semicolon. Some common conjunctive adverbs include moreover, nevertheless, however, otherwise, therefore, then, finally, likewise, and consequently.
I needed to go for a walk and get some fresh air; also, I needed to buy milk.
Reports of the damage caused by the hurricane were greatly exaggerated; indeed, the storm was not a “hurricane” at all.
The students had been advised against walking alone at night; however, Cathy decided walking wasn’t dangerous if it was early in the evening.
I’m not all that fond of the colors of tiger lilies; moreover, they don’t smell very good.
There are two types of slashes: a backslash (\) and a forward slash (/). The backslash is used only for computer coding. The forward slash, often simply referred to as a slash, is a punctuation mark used in English.
A Slash to Indicate Or
When leaving the classroom, the teacher noticed that a student had left his/her backpack.
College freshmen should bring a mattress and/or cot to sleep on during orientation.
If/when Mary ever shows up, we can all head out to the party together.
Burgers or pizza for dinner? Yeah, either/or is fine with me.
A Slash to Form Abbreviations
Slashes can also be used to form some abbreviations or shortened forms of words or phrases, although these shouldn’t be used in formal writing.
w/o = without
w/ = with
c/o =
care of (used when posting a letter or parcel)
a/c = air conditioning
A Slash to Indicate Connecting and Conflicting Relationships
Slashes can also be used to note that there is a connection or conflict between two words or phrases in a sentence.
The pro-life/pro-choice debate is a hot-button issue for many voters this election.
The designer often works in his bonus room/home office.
Space Before and After Slash
When a slash signifies alternatives between only two words, don’t use spaces before or after.
Add chili flakes and/or black pepper to the recipe.
When using slashes to signify alternatives between phrases or multi-word terms or compounds, a space before and after the slash makes text easier to read.
An abbreviation, simply put, is a shortened form of a word. Some readers may not know what an abbreviation means. If the abbreviation is obscure or unfamiliar, make sure to explain what it means the first time you use it.
Acronyms and Initialisms
Typically, acronyms and initialisms are written in all capital letters to distinguish them from ordinary words. (When fully spelled out, the words in acronyms and initialisms do not need to be capitalized unless they entail a proper noun.)
An acronym is pronounced as a single word, rather than as a series of letters.
National Aeronautics and Space Administration = NASA
light amplification by stimulated emission of radiation = lase
Initialisms are pronounced as a series of letters.
National Football League = NFL (en eff ell)
If you need to use an indefinite article before an acronym or initialism, use the initial sound of the word (not necessarily the initial letter) guide your choice.
Abbreviations for Courtesy Titles and Academic Degrees
Titles such as mister, miss, and doctor, as well as the names of academic degrees such as bachelor of arts and doctor of philosophy are almost always abbreviated. In American English, title abbreviations are followed by a period; in British English, the period is omitted.
Mr. = Mister
Mrs. = Mistress (pronounced “missus”)
Ms. = (pronounced “miss” or “miz”)
Sr. = Senior
Jr. = Junior
Dr. = Doctor
Mr. Green asked Ms. Grey if she had met Dr. Jekyl. (American style)
Mr Green asked Ms Grey if she had met Dr Jekyl. (British style)
B.S. = Bachelor of science
B.A. = Bachelor of Arts
M.A. = Master of Arts
M.B.A. = Master of Business Administration
Ph.D. = Doctor of Philosophy
The periods are optional with abbreviations of academic degrees. Follow whichever style your style guide recommends, or just choose one and use it consistently. When an academic degree is used like a title, it follows a person’s name and is set off by commas:
Molly Beagle, Ph.D., runs the canine cognition lab at Stanford University.
Latin Abbreviations
e.g.: exempli gratia It means “for example.” Use e.g. when you want to provide specific examples of a generalization.
We expect volunteers from many surrounding cities, (e.g., Springfield, Oakdale, Hogsmeade.)
i.e.: id est It means “that is.” Use i.e. when you want to provide more specific information about something you mentioned.
After a reasonable amount of time has passed—i.e. two business days—please report the missing shipment to our customer service department.
etc.: et cetera It means “and so forth.” Use it when you’re providing a partial list of details.
You should see the doctor when you have flu-like symptoms (fever, chills, etc.)
Other Common Abbreviations
Below are a few other abbreviations that are common in English. Remember that abbreviations are not always completely standardized. One style guide may advise you to abbreviate Thursday as Thurs. while another may argue for Thu. Likewise, some style guides allow you to omit the periods with these abbreviations, but it’s never wrong to include periods. So if you aren’t sure whether to use the periods, err on the side of leaving them in.
Times and dates
a.m. (ante meridiem) = before noon p.m. (post meridiem) = after noon
U.S. (United States) U.K. (United Kingdom) E.U. (European Union) U.A.E. (United Arab Emirates)
The U.S. highway system seems enormous to visitors from the U.K.
Units of Measurement
in. (inches) ft. (feet) lbs. (pounds)
mm. (millimeters) cm. (centimeters) m. (meters)
mg. (milligram) g. (gram) kg. (kilogram)
My cat weighs 10 lbs., which is about 4.5 kg.
Spelling Rules
English spelling of some words is wildly different from the way we pronounce them (It’s fuchsia, right? Or is it fuschia? Fushia?)
Around Shakespeare’s time, when spelling was first becoming standardized, the spelling of most English words was mostly phonetic—or at least more phonetic than it is today. For example, English speakers did once pronounce the k at the beginning of words like knife and knee. But even though no one has pronounced knee as “kuh-nee” in centuries, we still hang on to the old spelling.
Names are proper nouns. The names of cities, countries, companies, religions, and political parties are also proper nouns, so you should capitalize them, too.
We experienced some beautiful Southern California weather last fall when we attended a Catholic wedding in San Diego.
You should also capitalize words like mom and grandpa when they are used as a form of address.
Just wait until Mom sees this!
My mom is not going to like this.
Don’t Capitalize After a Colon (Usually)
I have one true passion: wombat racing.
One exception is when the word following the colon is a proper noun.
There is only one place I want to visit: New York City.
The other exception is when the words following the colon form one or more complete sentences.
Maggie wears a brimmed cap at all times for these two reasons: Strong light often gives her a headache. She also likes the way it looks.
When adverbs ending in -ly combine with another word, the resulting compound is always spelled as two separate words.
largely irrelevant
newly formed
There are a great many grammar rules regarding hyphens in compound words. One important rule of thumb to remember is that in most cases, a compound adjective is hyphenated if placed before the noun it modifies, but not if placed after the noun.
a long-term solution
an up-to-date user guide
This is not a good solution for the long term.
This user guide is not up to date.
It’s often necessary to consult the dictionary to determine whether these terms should be hyphenated or not.
Verb Tenses
Simple Present
Simple Past
Simple Future
I read nearly every day.
Last night, I read an entire novel.
I will read as much as I can this year.
Present Continuous
Past Continuous
Future Continuous
I am reading Shakespeare at the moment.
I was reading Edgar Allan Poe last night.
I will be reading Nathaniel Hawthorne soon.
Present Perfect
Past Perfect
Future Perfect
I have read so many books I can’t keep count.
I had read at least 100 books by the time I was twelve.
I will have read at least 500 books by the end of the year.
Present Perfect Continuous
Past Perfect Continuous
Future Perfect Continuous
I have been reading since I was four years old.
I had been reading for at least a year before my sister learned to read.
I will have been reading for at least two hours before dinner tonight.
Common Mistakes
Who’s vs Whose
“Who’s” is a contraction of “who is” or “who has”. For example,
Who’s watching TV?
Do you know who’s going to speak?
Who’s ready to go?
Who’s in the kitchen?
Who’s your doctor?
Who’s this?
Who’s already eaten?
Who’s been here before?
Who’s been watching that show?
“Whose” is the possessive of “who”. It’s always followed by a noun.
Whose book is this?
Do you know whose car this is?
I know a woman whose kids study there.
Whose side are you on?
An idea whose time has come.
It’s vs Its
“It’s” is a contraction of it is or it has.
It’s time to go.
Do you think it’s ready?
I read your article – it’s very good.
Do you know where my purse is? It’s on the table.
It’s been a long time.
“Its” is the possessive form of it.
That’s an interesting device – what is its purpose?
I saw Les Misérables during its initial run.
This stove has its own timer.
The bird lost some of its feathers.
Where is its head office?
Assure vs Ensure vs Insure
Assure most commonly means “to remove doubt about, to guarantee, to set one’s mind at rest.”
I assure you that we will be on time.
He assured us that there were no delays.
Ensure means “to make sure or certain” and must be followed by a direct object.
Winning the lottery ensured our happiness.
His loyalty will ensure your safety.
Insure refers to the provision of insurance: coverage against a specified loss.
My new car is not yet insured.
Our house was insured when the storm hit.
Bi- vs Semi-
Bi– comes from the Latin meaning two. When used with a temporal word, bi- means “every two” or “every other.”
This magazine is published bi-weekly, every other Friday.
Congressional elections are held biennially, on even-numbered years.
The U.S. celebrated the bicentennial of its 1776 founding in 1976.
Semi– comes from the Latin meaning half. When used with a temporal word, semi– means “twice.”
Our semi-annual meetings are in January and July.
I get paid semi-monthly, on the 5th and 19th of each month.
The semi-weekly deliveries occur on Monday and Thursday.
e.g. vs i.e.
e.g. stands for exempli gratia, which means “for example.” Use e.g. to introduce one or more possibilities among many.
He wastes his money on junk, e.g., cars that don’t run.
I’ll listen to anything, e.g., country-western, rap, light jazz.
i.e. stands for id est which means that is. Use i.e. when what you are introducing is equivalent to or an explanation of what comes before it in the sentence. Basically, i.e. means “in other words.” It’s used to reword or provide an alternate explanation.
He wastes his money on junk; i.e., stuff that he will never get around to fixing.
I’ll listen to anything; i.e., I like any kind of music.
Everyday vs Every day
Everyday is an adjective that means commonplace, ordinary, or normal.
These shoes are great for everyday wear.
You shouldn’t wear an everyday outfit to the wedding.
Don’t use the everyday dishes – it’s a special occasion.
Every day means “each day.”
I go to the park every day.
I have to work every day this week except Friday.
Every day I feel a little better.
Farther vs Further
Farther means “more far, more distant” in physical space.
Tom ran farther than Bill.
Which is farther, New York or Los Angeles?
Further means “more far, more distant” figuratively or non-physically.
Nothing could be further from the truth.
Who is further along in her research?
It can also mean “more/additional”:
Do you have any further ideas?
Nothing further, Your Honor.
And further is also a verb: “to advance”:
This class will further your understanding of ethics.
Furthest means “the most far, most distant” figuratively.
That is the furthest thing from my mind.
Good vs Well
Good is an adjective, which means that it modifies nouns.
This is a good movie.
What a good idea!
You speak good English.
This movie looks good.
His ideas are good.
Your English is good.
Well is an adverb, which means that it modifies verbs, adjectives, and other adverbs.
Did the movie do well at the box office?
It was a well-defined idea.
You speak English well.
Well can be used as an adjective to mean “in good health.”
You look well.
I don’t feel well.
Hers vs Her’s
Hers is the third person singular feminine possessive pronoun – it replaces the possessive adjective “her” + a noun. Though you may see her’s written even by native speakers, it is incorrect. Hers should never have an apostrophe.
I found a book – is it hers?
Is this his or hers?
I vs Me
I is the first person singular subject pronoun, which means that it refers to the person performing the action of a verb.
You and I need to get ready.
Tom and I are going to the movies.
Me is an object pronoun, which means that it refers to the person that the action of a verb is being done to, or to whom a preposition refers.
Between you and me, this is a bad idea.
She needs to talk to Joe or me.
If I would have …
When talking about something that didn’t happen in the past, many English speakers use the conditional perfect (if I would have done) when they should be using the past perfect (if I had done).
✗
If I would have known, I would have told you.
✓
If I had known, [then] I would have told you.
✗
If I would have gotten paid, we could have traveled together.
✓
If I had gotten paid, we could have traveled together.
✗
If you would have asked me, I could have helped you.
As a blogger and a person who works in marketing, I deal with a lot of English text content. Though English is my native language, it is not my specialization, although that is quickly changing the more I read and write. Here are some online tools I’ve found very useful for anyone wanting to improve their writing.
Grammarly
Grammarly can do many things including alerting you to typos, incorrect grammar, wordy phrases, inconsistent spelling, and more. It does this by underlining words in red or blue so you can quickly jump to words or phrases that could be improved. For example, in the screenshot below, the word “effect” is misspelled. On the right, there is an explanation of the typo and a link to learn more. Clicking on the box will fix the typo.
If you double-click on a word, you can get synonyms.
Grammarly has a great handbook in their blog that explains many grammar topics concisely and with good examples.
Note that Grammarly is not perfect and does not replace human review.
Ludwig.guru
Ludwig.guru is the first sentence search engine that helps you write better English by giving you contextualized examples taken from reliable sources.
As you can see in the screenshot above, Ludwig can do many things including
Find your sentence in the best contexts
Translate in English in the smartest way
Get definitions, synonyms and examples
Compare the frequency of two sentences
Discover the missing word
Paraphrase your sentence
Compare the frequency of words
Order a group of words
WordTune
WordTune helps you rewrite words and sentences. They can be shortened, expanded, and made to sound more casual or formal.
If you highlight a word and click on the WordTune icon, you can get synonyms.
One of the best ways to learn a language is by watching movies. But, video players usually only let you show one subtitle language at a time. Also, you can’t easily repeat what was just said or slow down the video when a character may be speaking too quickly. Here’s one way to make it easier to learn a language by watching movies. This example assumes the video is on Netflix.
1. Download the video and subtitles
Let’s say you want to learn Spanish and you speak English. One popular video series is Money Heist. You can download one or all episodes using Flixicam. Flixicam costs XXX. Since the purpose of this activity is to learn a language, you can download the video in the lowest resolution, e.g. 480p, so that the file is too big. Money Heist is at this URL: https://www.netflix.com/watch/80205342. When you play the video, you can click on the subtitles icon to see what subtitle languages are available. Unfortunately, in this case, there aren’t any Spanish subtitles, but you may be able to find Spanish subtitles online.
When watching a video, it helps to see two subtitles at once – one of the language you are learning and one of the language you understand. You can merge two subtitle files using an online tool.
3. Load video and subtitles in a subtitle editor tool
Subtitle editing tools may be designed to edit subtitles, but they’re also good for learning a language. The one I use is HappyScribe free online subtitle editor because I like the interface.
Just open the editor, upload your video, import the merged subtitle file, and start watching, listening and learning. Click on any subtitle paragraph to jump to the corresponding location in the video. Click on it again to repeat what was just said.
Change the playback speed to slow down the speech, if necessary.
The downside to this particular subtitle editor is it is online which means you have to upload your video which can take quite some time on a slow internet connection. You can also install a subtitle editor program on your computer which would eliminate the need to upload large videos. For example, here’s a simple one for Windows called Open Subtitle Editor.
However, with this one, I don’t see an option to change playback speed. If you use this one, you’ll probably want to go to Options > Settings > Double-clicking line in main window list view will “Go to video position and play”.
Note: the tutorial below works using Google Chrome and English subtitles where a user’s language setting in Netflix is set to English. It does not work for other languages like Arabic and Chinese. To download subtitles in those languages, you may need to change your language setting in Netflix.
1. Start playing a Netflix video
This tutorial uses Google Chrome.
2. Open Chrome Inspector
Click CTRL+SHIFT+I to open the Google Chrome Inspector. Click the Network tab. Make sure “All” is selected. Enter “?o=” in the filter field. Make the video window smaller than full screen so you can see both the video window and the Inspector window side by side.
3. Find subtitle file
In the Inspector, sort the files by “Name”. If subtitles are turned on, you will see a filename that begins with “?o=”.
If you don’t see the file, then in the video, click to see the subtitle options and then click on a subtitle, e.g. “English”. You should then see the subtitle file appear in the list of files in the Inspector.
4. Download subtitle file
In the Inspector, right-click on the file and click “Open in a new tab” to download the file. Rename the file to something like english-subtitles.xml.
5. Convert subtitles to SRT format
The XML format of the subtitles may not be user-friendly. You can convert it to SRT format by going to https://gotranscript.com/subtitle-converter where you can convert the format for free.
If you have multiple subtitles, e.g. in different languages, you can merge them using this online tool.
If you’d like to edit subtitles, you can try this free online editor. Some of the nice features are
clean user-friendly interface
can load a video from a YouTube URL
can change video playback speed
when you click on a subtitle, the video automatically jumps to the timestamp of that subtitle
Unlike real estate, which increases in value over time (except occasionally during a recession), cars depreciate in value as soon as you drive them off the dealer lot. According to NerdWallet, your car’s value decreases around 20% to 30% by the end of the first year. From years two to six, depreciation ranges from 15% to 18% per year. As a rule of thumb, in five years, cars lose 60% or more of their initial value.
However, not all vehicles depreciate at the same rate, meaning certain makes or models hold their value better than others. And depreciation rates can also change over time.
A brand-new car will depreciate the most because of the steep first-year drop. Buying a car that is just one year old avoids this first hit from depreciation and saves you a significant amount of money on a nearly new car. And, of course, waiting past the three-year mark could save the owner around half of the car’s original price.
Even if two vehicles are priced the same, that doesn’t mean they will cost the same over time. For example, fuel costs, maintenance fees and depreciation can vary quite a bit between two vehicles. Knowing the 5-Year Cost to Own ahead of time can help you save money in the long run. On kbb.com you can find the 5-year cost to own a particular car or classes of vehicles.
You can also see the vehicles with the lowest 5-year cost to own by vehicle class. According to kbb.com, Toyota and Lexus are the two brands with the lowest 5-year cost to own.
Buy a Used Car
If new vehicles lose so much value in the first few years, it would make sense then to buy a used car. In this case, you have two options:
Buy a used car from a private party
In this case, the potential to get the best deal is high but you may also end up with a vehicle that has many problems. The seller may lie to you and may not have maintained the vehicle which could result in expensive surprises. You can view a vehicle’s history on CarFax.com to see if it’s been in any accidents, how many owners it’s had, and more.
Buy a certified pre-owned (CPO) car
CPO vehicles are relatively new, low-mileage vehicles that have been inspected and certified by dealers representing the automaker who built them. They come with warranty coverage and other extras you wouldn’t get if you bought a non-certified used car. For pre-owned vehicles to become certified by an automaker, they must be less than five or six years old and have fewer than 60,000 to 80,000 miles on the odometer. These vehicles also undergo multipoint inspections at the dealership. Sometimes, these vehicles were loaner vehicles that the dealer loaned to customers while they wait for their vehicles to be serviced. CPO vehicles, of course, cost more than non-certified used vehicles but they are cheaper than brand new vehicles.
Most people don’t buy cars in cash. Instead, they finance the cost by making monthly payments for 5 years. I was just at a Lexus dealer today and with my 800+ credit score and offer to put $10,000 down on a $42,037 vehicle, I was offered an interest rate of 4.29%.
I then estimated what kind of interest rate I could get from MyAutoLoan.com and got a rate of 2.33%.
To determine the monthly payments and total interest payments, we can use a car payment calculator. At 4.29% over 60 months, my monthly payments would be $594.21 and the total interest paid over 5 years would be $3,615.72.
At 2.33% over 60 months, my monthly payments would be $566.17 and the cost total interest paid would be $1,933.44.
The difference is $1682.28 over 5 years.
Sometimes, dealers have specials where they offer 0% interest. For example, if a new car costs $42000 with 0% interest financing whereas a slightly used certified pre-owned car costs $39000 with 4% interest, you might as well buy the new car because the 4% interest would increase the cost from $39,000 to $42,044.75.
Another option is to get a loan from a credit union. Unlike banks, credit unions are not for profit so they can offer lower rates. For example, if you live in Alameda County in the San Francisco Bay Area, you can become a member of 1st United Credit Union and get competitive rates for a new or used car loan. See their rates.
Insurance
Car insurance costs vary depending on many factors. Following are factors that affect car insurance. For low-cost insurance, try Costo Home and Auto insurance.
Driver’s age
One cost factor is risk. Young drivers below the age of 25 and elderly drivers above the age of 65 are considered high risk drivers. For that reason, car insurance tends to cost more in those age groups. Following is a chart of average insurance costs by driver age.
Understandably, if you have a clean driving record (no accidents, no insurance claims), then you’ll likely pay less for car insurance, and vice versa.
Car make, model and value
The cost of your car is a major factor in the cost to insure it. Other variables include the likelihood of theft, the cost of repairs, its engine size and the overall safety record of the car. Automobiles with high-quality safety equipment might qualify for premium discounts.
The Tesla Model 3 is the most expensive popular car to insure. The 2022 Tesla Model 3 starts at a moderately priced $44,990 but at $2,830 a year for full coverage, insurance is significantly more than other popular cars.
Insurance for the Model 3 and other Tesla vehicles is so expensive because as a luxury car, Teslas are more expensive to repair and are a more enticing target for thieves.
Maintenance
Oil change
The cost to change oil can vary quite a bit from one car to another and the cost is usually exorbitant if you change oil at a dealer. For example, the average cost to change oil for a Mercedes S-Class is almost twice that for a Lexus UX SUV.
My 2003 Honda Accord costs even less to change the oil.
Note that some new cars include 3 year / 36,000 mile maintenance.
Manual
Before spending tens of thousands of dollars on a new vehicle, it might be helpful to read the manual first since you can’t return vehicles to the dealer as you can most other purchases. You can find manuals on the manufacturers’ websites.
Warranty
Fixing a car can be very expensive. Having a warranty can save you a ton of money and offer peace of mind. With a warranty, the manufacturer will fix certain things for free during a certain period of time or up to a certain mileage. There are different types of warranties.
Typical warranty
The typical auto warranty coverage is 3 years/36,000 miles — meaning a warranty that covers needed repairs in the first three years you own your car, or for the first 36,000 miles you drive it, whichever comes first. You can estimate how far you drive each year by finding the distance from one place to another in Google Maps, e.g. distance from home to work and back 5 days a week.
Comprehensive / Bumper-to-Bumper Warranty
This type of warranty covers everything except wear and tear, damage caused by you, and normal maintenance.
Powertrain Warranty
This type of warranty covers the mechanical parts that move the car.
Both Hyundai and Kia offer one of the industry’s longest warranties on new cars — a 10-year/100,000-mile powertrain warranty. However, if the vehicle is sold, only a 5-year/60,000-mile powertrain warranty goes to the new owner of the car.
Hybrid Warranty
This type of warranty covers repairs to the battery, electric motor, and other unique components found in an electric or hybrid car.
Lexus, for example, offers the following warranties.
The Basic Warranty coverage is for 48 months or 50,000 miles, whichever occurs first.
The Powertrain Warranty is for 72 months or 70,000 miles, whichever occurs first.
The Lexus Hybrid Warranty coverage is for eight years or 100,000 miles, whichever occurs first, and covers the following components: Hybrid Battery Control Module (battery voltage sensor), Hybrid Control Module (power management control module), and Inverter with Converter.
The Lexus Hybrid Battery Warranty coverage is for ten years or 150,000 miles, whichever occurs first on 2020 and newer models.
Rent Before Buying
Though you can test drive a car at a dealer, that may not be enough for you to really get a good idea of whether the car is right for you or not. To be safe, you can rent the same model of car you are interested in buying. If the vehicle model you are interested in is not available at car rental centers like Hertz, you may be able to find one at a private party via the Turo.com. Of course, you can also borrow a friend’s car if they have the one you are interested in.
Fuel Economy
Some vehicles are gas guzzlers. This can cause you to spend a lot more money than you thought. There are 3 main types of cars: gas only, hybrid gas and electricity, and electric only. At FuelEconomy.gov, you can compare up to 4 vehicles for fuel economy.
For example:
2021 hybrid Lexus Crossover SUC
2003 gas-only Honda Accord
MPG
25 miles per gallon
42 miles per gallon
Distance on full tank
445 miles
–
Annual Fuel Cost
$1,200
$2000
Cost to Drive 25 Miles
$1.97
$3.31
Car Rebates
Sometimes you can get rebates valued at thousands of dollars. Following are some clean vehicle incentive websites.
All-electric and plug-in hybrid cars purchased new, not used, in or after 2010 may be eligible for a federal income tax credit of up to $7,500. The credit amount will vary based on the capacity of the battery used to power the vehicle.
A tax credit is a dollar-for-dollar reduction of the income tax you owe. For example, if you owe $1,000 in federal taxes but are eligible for a $1,000 tax credit, your net liability drops to zero. … Therefore, if your total tax is $400 and claim a $1,000 tax credit, you will receive a $600 refund.
For example, for the Hyundai Ionic All-Electric sedan, you can get a $7500 federal tax credit.
The Toyota RAV4 Prime Plug-in Hybrid and the 2022 Lexus NX Plug-In Hybrid qualify for a $7.5K federal tax credit as well.
The 2017–22 Prius Prime Plug-in Hybrid qualifies for a $4,502 tax credit.
The process to apply for a tax credit is fairly simple. You first have to buy a vehicle that qualifies, of course. Then you fill out form 8936 along with your tax return. After filing your return, if you look at your IRS tax transcript, which you can download from the IRS website, you will see a section titled “Tax and Credits” with a line item (highlighted below) for “F8936 Electric Motor Vehicle Credit Amount” which should have the dollar amount of the credit available for the EV you buy.
Costco Auto Program
Costco claims to offer its members a discount when buying new and pre-owned vehicles from participating dealers. An Authorized Dealer Contact will present the “Costco Member-Only Price Sheet,” displaying your prearranged pricing. The savings can be displayed in one of two ways: one version lists pricing for all models available at the participating dealership; the other will show a VIN-specific price based on the vehicle you select, including any applicable manufacturer incentives or rebates.
Tires aren’t like shoes: The bigger the size, the more you pay. According to Discount Tire / America’s Tire, the average prices are as follows.
Wheel Size
All-Season
All-Terrain
Small (12” – 15” wheels). Compact cars, golf carts, etc.
$80 – $150
–
Medium (16” – 20” wheels). Crossovers, SUVs, small trucks, and vans.
$100 – $250
$150 – $250
All-Gas vs All-Electric Vehicles
Vehicles are becoming more and more electric. Here are some pros and cons of all-electric vehicles.
Pros
Cons
You can save a lot of money
Electric cars can be pricey
Electricity is renewable
Charging can be a lengthy process
You can reduce your environmental impact
You can’t go as far or as long as gas cars
You can take advantage of tax credits and clean car rebates
Finding a station can be tough
Less maintenance is required
Car insurance premiums may increase
Better performance
Drive solo in HOV lane
No oil changes
No smog checks
Note that the Hyundai Ioniq 5 supports ultra-fast charging and can go up to 300 miles on a full charge.
The ultra-fast charging capability gives you over 60 miles of range with just a five- minute charge, or you can charge it from 10 percent to 80 percent in just under 18 minutes. However, ultra-fast chargers are only available at public charging stations.
My Picks
Lexus UX 250h
Hyundai Ioniq 5
Lexus UX250h
Hyundai Ioniq 5
Type
Hybrid
All Electric
Transport large items
Yes, it’s a subcompact SUV but the trunk is small because the battery is there
Yes, it’s a subcompact SUV with a large trunk because the battery is in the front
Cost
~$38,000
~$40,000
CA Rebate
No
Yes, $2000
Fed Tax Credit
No
Yes, $7500
Charging
No
Yes, ultra fast, 5 mins gets you 60 miles
Must change oil, belt, and filter
Yes
No
Must get a smog check
Yes
No
Must go to a gas station
Yes
No, charge at home. Can also charge at a public charging station.
Basic Warranty
4 years, 50K miles
5 years, 60K miles
Powertrain Warranty
6 years, 70K miles
10 years, 100K miles
Cost to drive 25 miles
$1.97
$1.01
EV (Electric Vehicle)
EV Battery Size and Range
An EV’s range depends on the size of its battery.
Gross Capacity—or Total Capacity—is the total amount of energy a pack can theoretically hold.
Net Capacity—or Usable Capacity—is the amount of energy the car can actually draw on to move.
You can see a list of EVs sorted by battery size. The average size is 56.3 kWh. The largest is 107.8 kWh (Mercedes EQS AMG 53 4MATIC+). The smallest is 16.7 kWh (Smart EQ for four).
EV Charging Speed on Level 1, 2, 3 Chargers
Before buying an EV, make sure to research your ability to charge it. Most EV owners install a Level 2 charger in their home which is an added cost. Learn more about EV charging.
Charging Level
Power Delivery
Range Added Per Hour
Time to Charge 60 kWh EV
Level 1
1-1.4 kW
3-5 miles
30-40 hours
Level 2
3.9-19.2 kW
12-80 miles
2.5-4.5 hours
Level 3
24-300 kW
75-1,200 miles
30-40 minutes
Time to Charge EV with a 60-kWh battery is the time to raise the battery’s charge level from 10% to 80%
The Ioniq 5’s battery pack size is 77.4 kWh, and the maximum continuous draw permitted on a 15A 120V outlet is 12A (incidentally the rate at which Hyundai’s In-Cable Control Box, aka granny charger, tops out in the North American market).
120V * 12A = 1.44 kW, and the charging efficiency lies somewhere between 80 and 90 percent, let’s call it 85. So 77.4 / 1.44 / 0.85 = 63.25 hours, or a bit over 2 days and 15 hours. That said, you’d never use 100% of the battery capacity. If you’re plugging in each night after an average daily commute of 30 miles, you’d be recharged in under 8 hours.
Most EV owners will install a Level 2 charger in their home with between 30 and 40 amp capacity, with 32A being common. Charger efficiency is about 90 per cent at the higher voltage, so 77.4k / (32 * 240) / 0.9 = 11.2 hours from 0 (never drive your EV down to zero!) to 100 per cent.
So many cars now have touchscreens and the screens are just getting bigger and bigger. Many people use their phones for driving directions, playing music, and more. But, phones screens are small which makes them more difficult to use, especially when driving. Some car screens have maps and driving directions but they’re hard to use and ugly. Tesla car screens have nice maps but Teslas are expensive and you may not want a Tesla. In that case, you may want to get a car that supports Android Auto and Apple CarPlay.
For example, here’s how Google Maps looks on Android Auto.
You can find routes, get real-time alerts, view places on the way, reserve parking, find a charging station, and more.
You can also control music using some apps on your phone like Spotify, Pandora, and Amazon Music.
I personally use the PowerAmp music player. It was upgraded to support Android Auto and the screen looks like this.
Of course, you can all make phone calls and chat as well.
Note that for Android Auto, not all apps are supported.
Features
When considering a new car, there are often more than one trim levels to choose from. Each trim comes with different features. You’ll want to make sure you compare each trim and feature, e.g. does the base model include heated seats, before picking a trim.
When drawing rectangles, you can specify length & width by separating the measurements with a comma. For example: to draw a two foot by four foot rectangle, you can enter 2', 4' into the measurement box. The order of the measurements matches the order of the axes (R, G, B). For example: Red, then Green; Red, then Blue; or Green, then Blue.
When items are pre-selected, you can click anywhere in the model to begin moving them, and then click anywhere to set them down. This is an effective way to move things precisely and/or align things to other things.
Click the red crosshairs that appear on the bounding box of an object to rotate that object.
After moving a copy, you can type a number followed by the X key and then press Enter to create an array of copies.
Rotate, stretch, distort, or copy items or objects along a rounded path.
Tool Operation
(Optional) Preselect the items or objects you want to rotate.
Click on an item or object to both make a selection and set the center point of rotation.
Move cursor to indicate start point of rotation.
Click to set starting point of rotation.
Move cursor to indicate end point of rotation.
Click to complete rotation, or enter angle in degrees.
Modifier Keys
Ctrl = Toggle rotate a copy.
Before first click, hold Shift to lock protractor inference.
Before first click, use arrow keys to toggle the protractor inference lock direction (→ = Red, ← = Green, ↑ = Blue, ↓ = Parallel).
After first click, use arrow keys to toggle rotation inference lock direction (→ = Red, ← = Green, ↑ = Blue, ↓ = Parallel/Perpendicular).
Tips
Esc = Cancel operation.
During Step #2 of the tool operation steps above, you can click-drag the protractor along an edge or axis to set an axis of rotation.
After rotating a copy, you can type a number followed by the letter X and then press Enter to create a rotated array of copies.
When inputting rotation values into the Measurements box, you can enter either an angle of rotation, in degrees (for example 45 Enter),or a slope expressed as a rise:run architectural slope notation (for example 4:12 Enter).
(Optional) Preselect the items or objects you want to scale.
Click on a face or object.
Click on a Scale grip.
Move cursor to resize or stretch item or object.
Click to finish scaling item or object.
Modifier Keys
Ctrl = Toggle scale about center.
Shift = Toggle uniform scale.
Tips
Esc = Cancel operation.
Click a corner grip for 3-way scale. Default = Uniform. Pressing Shift = Non-uniform.
Click a midline grip for 2-way scale. Default = Non-uniform. Pressing Shift = Uniform.
Click a center grip for 1-way scale. Default = Non-uniform. Pressing Shift = Uniform.
When scaling an item or object you have the option to enter either a scale factor (for example 2.5 Enter will make the things you’re scaling 250%, or two and a half times bigger), or you can simply input the size that you want the thing you’re scaling to be (for example, if scaling up along the blue axis direction, 6' Enter will make the selection six feet tall).
It’s possible to activate multiple section planes at the same time, as long as the section planes are in different contexts. For example, you can activate one section plane through the model, and then activate another section plane through a group or component object and have both planes active at the same time.
Measure angles and create angled guide line entities.
Tool Operation
Place protractor’s center at vertex of angle.
Click to set vertex. (Alternatively: click and drag first point to set rotation plane.)
Move cursor in circle until touching start of angle.
Click to set start of angle.
Move cursor in circle until touching end of angle.
Click to measure angle.
Modifier Keys
Ctrl = Toggle create guide lines.
Before first click, hold Shift to lock protractor inference.
Before first click, use arrow keys to toggle the protractor inference lock direction (→ = Red, ← = Green, ↑ = Blue, ↓ = Parallel).
After first click, use arrow keys to toggle rotation inference lock direction (→ = Red, ← = Green, ↑ = Blue, ↓ = Parallel/Perpendicular).
Tips
Esc = Cancel operation.
When inputting rotation values into the Measurements box, you can enter either an angle of rotation, in degrees (for example 45 Enter ), or a slope expressed as a rise:run architectural slope notation (for example 4:12 Enter).
Click anywhere in the model to place the camera. The camera will be positioned above the point where you click, at the eye height distance specified in the measurements box.
(Optional) Click and drag from one point in the model to another point in the model to create a target camera. The point you drag from will be the exact location where the camera will be positioned, the point you drag to will establish the camera target.
Let’s say you want to make a closet in your garage and you want to create the frame using 2×4 lumber. It’s helpful to draw this in 3D to visualize the design. This post will show you how to do it using the free web version of SketchUp.
Set length units and precision
First, under Model Info, we set the length format and precision. Since a 2×4 piece of wood is actually 1.5″ x 3.5″, let’s set the length and precision to 1/2″.
Create 2×4 objects that represent stock lumber
To simplify creating the closet frame out of 2x4s in 3D, we’ll first create 2×4 objects that are any length, e.g. 12 inches long, along each axis (x, y, and z). To do this, we’ll first create a 2×4 rectangle as follows:
Choose the rectangle tool.
Click and drag anywhere until you see a rectangle.
Before clicking a second time, type “1.5,3.5” (without quotes) to manually specify the dimensions and then hit Enter. What you type will show up in the Dimensions field in the bottom right corner.
You will see the rectangle as shown below.
Now, we want to pull the rectangle to create a 12-inch long object representing a piece of wood. Click the Push / Pull tool.
Zoom in, if necessary. Then, click on the face of the rectangle and drag up. Do not click as doing so will set the length. Instead, type “12” (without quotes) to specify the length in inches to pull the rectangle to create a 12″ long 2×4. Then, hit Enter.
Now that we have one piece of 2×4 in one direction. Let’s copy and paste it twice to create two more pieces in the other two directions. Click the “Select” tool.
Drag a rectangle around the entire object you just created to select all of it. The object will turn blue as shown below.
Click Copy / Ctrl+C and then Paste / Ctrl+V to paste a clone of that object. Do this twice.
Now, select the 2nd object and then click the Rotate tool.
Click somewhere on the object and then click again to start rotating the object. Don’t click a third time since doing so would set the rotation angle. Instead, type “90” (without quotes) to rotate the object by 90 degrees.
Do the same with the 3rd copy of the object but rotate it in a different direction.
Come to think of it, we should make 3 more copies of the object and rotate them so we can have 2x4s in all 6 perpendicular directions. If you’re having a hard time selecting one entire object using the “Select” tool because it’s too close to another object, try using the “Lasso” selection tool.
Now we’ve got our 2×4 building blocks which we can move to the side and clone to create the closet frame. I’ll select all 6 objects and move them as shown below.
Now, we’ll create a closet frame by first cloning one of the building blocks, moving the clone, and pulling it to change its length. I’ll start with the back left corner of the closet frame. When I copied and pasted one of the 2×4 objects, I clicked on the origin to position the object there.
Let’s say we want our closet frame to be 80 inches tall. I’ll switch to the Push / Pull tool, click on the face of the object that I want to pull, drag up, and then type 80 to set the length to 80 inches.
Since we want all corners to be 80 inches tall, we can clone the first 80-inch tall object three more times and position them as far as we want from each other. When you paste a copy of an object, you will see tooltips that help you align the object relative to the axes and to other objects.
Above, we see a copy of the 80-inch tall 2×4 but we don’t know how far it is from the first 80-inch 2×4. Click the Dimensions tool.
Then, click on each of the two endpoints of the distance you want to measure. In this example, the distance is 2′ 8.5″.
Let’s select the 2nd object and then click the Move tool so we can move the object to be 2 feet away from the other object.
Click on one corner / endpoint and then drag such that the distance becomes 2 feet.
When dragging, you’ll see tips such as “On Red Axis” which will help you stay on the same plane and only move in one direction. Below, we now see the distance between both objects is 2 feet.
Repeat the above steps for the remaining parts.
To learn more, including how to move and align objects relatively and absolutely, read my other SketchUp article.
There are 3 main things that affect muscle growth:
food
strength / resistance training
rest
To grow muscle, you need to
do strength training to break down muscle
have a moderate calorie surplus
have sufficient protein consumption (1 gram of protein per pound of body weight)
rest to build muscle
If you have a calorie deficit, your body will expend more energy resulting in weight loss in the form of BOTH fat and muscle loss.
If you have an excessive calorie surplus, you will GAIN weight, and grow some muscle but also gain a lot of fat.
You build muscle when the amount of protein synthesized into muscle during rest is greater than the amount of muscle protein breakdown during strength training. Without sufficient protein, you will just gain fat and little muscle.
Food
Both creatine and whey protein powder have been shown to increase muscle mass when taken in combination with resistance exercise.
Creatine increases exercise capacity during high-intensity exercise. This leads to improved recovery and adaptations such as increased muscle mass.
Meanwhile, ingesting whey protein in combination with exercise provides your body with a high-quality source of protein, enhancing muscle protein synthesis and leading to increased muscle gains over time.
While both creatine and whey protein promote muscle gain, they differ in the ways they work. Creatine increases strength and muscle mass by increasing exercise capacity, whereas whey protein does so by stimulating increased muscle protein synthesis.
Muscles are made out of protein, among other things. So, you’re going to need to consume enough protein to build muscle. You should target 1 gram of protein per pound of body weight. For example, I currently weigh 178 lbs, so I should consume 178 grams of protein. Here are some protein-rich foods.
Consuming a lot of protein without supplements can be difficult because you might feel full before you’ve reached your target daily intake. Also, it can be expensive. For that reason, most bodybuilders take protein supplements. When choosing a protein supplement, it’s important to stay away from ones with a lot of added sugar. The most popular protein supplement is whey protein. To be safe, opt for pure whey protein. I personally get the unflavored Nutricost Whey Protein Concentrate. It contains only one ingredient: Whey protein concentrate. 1 scoop contains 25 g of protein and 130 calories.
You can also buy whey protein isolate, which has 90 – 95% protein compared to whey protein concentrate, which has 60 – 80% protein. Source
Creatine
Creatine monohydrate is the best-studied and most effective form of this supplement. There are 2 dosing regimens:
Option 1
Loading phase: Take 20-25 grams split into 4 or 5 equal doses over 5-7 days.
Maintenance phase: Then, take 3-5 grams per day to maintain your muscle stores of the compound.
Option 2
Skip the loading phase and start the maintenance phase.
Both options are effective. The first option will allow you to experience the benefits 4x faster. Source
Now, don’t go consuming nothing but protein shakes. They are meant to be supplements and not food substitutes. You can eat whatever else you want, but generally, you should avoid processed foods and foods with lots of added sugar. I have personally found the Keto diet (very low-carb diet) to be one of the best, if not the best, diets. I was able to lose 20 lbs following the Keto diet. It’s not just good for losing weight, but it’s also good for overall healthy eating.
Calories
While you can build muscle in a calorie deficit (losing weight), it will be quicker to build muscle by having a moderate calorie surplus. In order to determine how many calories is “moderate”, you first need to know your maintenance calories – the number of calories to consume each day to neither lose nor gain weight.
Maintenance Calories
Your maintenance calories is the number of calories you consume and burn each day to neither lose nor gain weight. Use the calorie calculator from the Mayo Clinic to determine your maintenance calories. It uses the Mifflin-St. Jeor equation, which pros consider the gold standard.
Slight Calorie Deficit to Lose Weight Without Losing Muscle
On days you don’t lift weights, you want to lose fat. You can do this by counting calories consumed and, if you are doing cardio exercises (treadmill, etc), subtracting calories burned such that your net calorie deficit is 5-10% of your maintenance calories. In my case, that would be 2200 – 10% = 1980 calories. You don’t want a huge calorie deficit because then you’ll lose fat and muscle.
Moderate Calorie Surplus Gain Muscle
On days that you lift weights to build muscle, depending on how much muscle you want to put on and how quickly you want to gain it, add 5% to 15% to your maintenance calories. In my case, that would be 2200 + 15% = 2530 calories.
Example Weekly Schedule
DAY
ACTIVITY
CALORIES
Monday
Rest
Calorie Deficit
Tuesday
Strength Training
Calorie Surplus, Extra Protein
Wednesday
Cardio
Calorie Deficit
Thursday
Rest
Calorie Deficit
Friday
Strength Training
Calorie Surplus, Extra Protein
Saturday
Cardio
Calorie Deficit
Sunday
Strength Training
Calorie Surplus, Extra Protein
On calorie-surplus days, your body needs the extra calories above your maintenance calories to build new muscle while you sleep.
Example Meal Plan
Here’s my daily meal plan.
Breakfast
4 eggs in a bowl microwaved for 2 minutes
1 cup of espresso coffee with frothed milk, 1/4 teaspoon of Truvia sugar substitute (erithrytol + Stevia extra), and cinnamon
Without eating snacks, my total daily calorie intake is 1928.
Strength / Resistance Training
Muscle size increases when a person continually challenges the muscles to deal with higher levels of resistance or weight. This process is known as muscle hypertrophy.
Muscle hypertrophy occurs when the fibers of the muscles sustain damage or injury. The body repairs damaged fibers by fusing them, which increases the mass and size of the muscles. This increase, however, does not happen while you actually lift the weights. Instead, it occurs while you rest.
You need to be consistent and lift progressively heavier weights. To do this, you should keep track of your efforts. Personally, I log my workouts using the free version of the FitNotes app.
Sets and reps
A standard way of exercising each muscle is by grouping each exercise into 3 sets of 8 to 12 reps (repetitions). For example, if you bench press, you can choose a weight such that for the first set, you lift X lbs until you reach failure (can no longer lift / perform a complete cycle) after the 12th rep. Then, for the 2nd set, you do the same until your failure is maybe at the 10th rep. And for the 3rd set, you fail maybe at 8 reps.
Set
Weight
Reps
1
100 lbs
12
2
100 lbs
10
3
100 lbs
8
Note that more important than the number of reps is the effort to lift until failure. If, after a while, you feel that you can do more than 12 reps at X lbs for the first set, then you need to increase the weight and continue to lift until failure, regardless of the exact number of reps you can do. This is called “progressive overloading.”
Let me repeat that. Train until failure such that you can barely complete your last rep with proper form. The last 2 to 3 reps before failure are the ones that count towards building muscle.
Breathing
You might be tempted to hold your breath while you’re lifting weights. Don’t hold your breath. Instead, breathe out as you lift the weight and breathe in as you lower the weight. Lowering weights requires less exertion, which makes it an ideal time to inhale. By breathing correctly, you’ll be able to lift more and limit fainting and injury.
Muscles
Here’s a diagram of some of the more obvious muscles that you’ll want to target when lifting weights.
Exercises
There are many types of strength training exercises you can do among free weights and machines. I personally prefer using machines as they are more comfortable and help you perform exercises using proper form and reduce the chance of injury. However, some exercises produce better results when using free weights, e.g. dumbbell or barbell chest press instead of a chest press machine. Here are some of the upper body exercises I prefer.
When you start a workout, your muscles will have rested and you will be able to lift the most weight for any given exercise. As you progress through your workout, you will have less strength when performing other exercises. For that reason, it’s good to be selective in the order of the exercises you perform. For example, I would do 10 or so different exercises in the following order:
Order
Exercise
Muscles Targeted
1
V-Bar Tricep Pushdown
Triceps (Tris)
2
Dumbbell chest press (flat)
Chest
3
Dumbbell chest press (30° incline)
Upper chest
4
Hammer Strength MTS Shoulder Press
Shoulders
5
Biceps Curl Machine
Biceps (Bis)
6
Plank exercise
Abs, Core
7
Lat Pulldown
Biceps and Latissimus Dorsi (Lats)
8
Triceps Press
Shoulders and Triceps
9
Lat Row
Lats, Delts and Back
10
V-Bar Tricep Pushdown
Triceps (Tris)
11
Row Machine
Lats, Delts and Back
12
Biceps Curl Machine
Biceps (Bis)
Each exercise, except the plank, is done with 3 sets. This sequence takes about 1.5 hours and I burn on average 500 calories.
Muscles by Volume
Many men generally want a bigger upper body. Oftentimes, they’ll focus exercises on 2 muscles: chest and biceps. However, to have a larger upper body, they may be better off targeting larger muscles. Following is a list of the 10 largest muscles in the body.
The longer you lift weights, the harder it becomes to grow more muscle. Following are average muscle weight gains for men and women at different stages of resistance training.
You may have heard that muscle weighs more than fat. However, according to science, a pound of muscle and a pound of fat weigh the same. The difference between the two is density.
Rest
In order for your muscles to grow, you need to have sufficient rest. Make sure to sleep enough, e.g. 8 hours a day. Contrary to popular belief, you don’t actually build muscle while you’re lifting weights. You do need to lift weights to add mass, but training actually causes muscle breakdown.
How to Tell if You’re Gaining Muscle
You’re Gaining Weight Track your weight at the same time each day and plot it on a chart to see your long-term progress.
Your Clothes Fit Differently Getting jacked will often mean your clothes start to fit differently – usually in a good way. If you’re noticing your shirts are fitting a bit tighter around your shoulders, chest, and biceps, or your pants are getting snug in the thigh and hip area, these tend to be good signs you’re gaining healthy weight.
You’re Building Strength If you can lift heavier weights, then you are probably building muscle. Track your strength using a log and practice progressive overloading.
Your Muscles Are Looking “Swole” Feeling puffier or bigger is normal and likely a good sign you’re growing your muscle fibers. Lifting weights increases fluids to your muscle, giving you that post-weight training pump, especially when you are just getting started with strength training. Over time, some of the water retention may diminish, but you should continue to feel bulkier.
Daily or Weekly Progress Photos Stand in front of a mirror and take a full-body photo. Repeat and assess your visual transformation regularly.
Your Body Composition Has Changed Ultimately, the most efficient way to measure your muscle gain progress is to assess your body composition at the beginning and end of your bulk. You can opt for an affordable and convenient at-home scale, or schedule a DXA/DEXA scan that estimates your body fat percentage within a 1.6% margin of error.
The best way to know you are gaining muscle is if you are progressively able to lift heavier weights because the only way you can lift heavier weights if you have bigger muscles.
Tracking Progress
If you use an app to keep track of your progress, you can periodically calculate your percent gains and improvements over time. Here’s an example of my actual gains.
Exercise
Dec 26, 2021
March 12, 2022
% increase
Target area
lbs
lbs
V-bar pushdown
50
72.5
45%
Triceps
Chest press machine
70
120
71%
Chest
Lat pulldown machine
90
130
44%
Back
Shoulder press machine
40
70
75%
Shoulders
Tricep pushdown machine
115
170
47%
Triceps
Bicep curl machine
65
110
69%
Biceps
Gadgets and Accessories
To support your strength training goals, I have found the following gadgets useful.
Wi-fi body scale
I have the Withings smart wi-fi body scale. It automatically records my weight, and in the app, I can see my weight change over time.
Whenever I enter the gym, I start tracking my heart rate and calories burned. When I’m done, I stop tracking. I can see a history of my calories burned and workout duration over time.
Bluetooth Headphones / Earphones
I have the Sony Wireless Behind-Neck Headset (WI-C400). Many people like to wear Beats headphones. I prefer the behind-the-neck style headset because it’s lightweight and doesn’t move around as I exercise, including when I do sit-ups.
Repeatedly lifting weights can result in calluses (thickened skin that forms as a response to repeated friction or pressure). Workout gloves tend to have a cushion to protect your skin. I find it much more comfortable to lift with gloves on.
Summary
Stay in a positive protein balance by hitting your protein consistently.
Get your protein from high-quality sources like meat, eggs, dairy, and soy.
Your body needs energy to grow, so you need to be in a moderate calorie surplus.
Make sleep a priority — both quantity and quality.
Hit the weights consistently, and train harder by adding volume (in weight, reps, and sets) over time – progressive overloading.