# Pennies in Math – Definition With Examples

## What Are Pennies?

While returning after a worthwhile shopping spree, Joe, with her mom, visits a fruit stall. They purchase 2 pounds of apples, worth $\$$2.95. Joe’s mom pays three singles. In return, she gets 5 pennies in balance. After reaching home, she gives the 5 pennies to Joe, who deposits them in her piggy bank. I’m a penny worth a cent, A hundred me is a dollar spent! Put me in your piggy bank, As a penny saved is a penny earned! But what is a penny in math? Keep reading to figure it out! ## Pennies: an Introduction Pennies are US coins worth one cent, equivalent to a hundredth of a US dollar. Since 1857, pennies have been the lowest-denomination coins in the US. It is more than 200 years old as the US introduced its first penny in 1787. ## Penny Definition A penny is the smallest denomination coin in the United States, worth \$$0.01 or a cent. In other words, a hundred pennies make one dollar. In Canada, a penny is worth 0.01 Canadian dollars. ## Counting Pennies Dip your hands into your piggy bank. You’ll find a few pennies. Let’s learn how to count them! Here’s a penny. We know that one penny = one cent. Therefore, the value of a penny is one cent or 0.01 dollars. Here are two pennies. Its value is two cents or 0.02 dollars. Here are four pennies. Its value is four cents or 0.04 dollars. Here are twelve pennies. So, its value is 12 cents or 0.12 dollars. Therefore, to find the value of n number of pennies, we have to multiply it by one to get the value in cents. To get it in dollars, we must multiply n by 0.01. Therefore, the value of n pennies is n cents or n/100 or n$\times$0.01 dollars. ## What Are Pennies Made of? ### Penny and Cent A penny is a US coin of the smallest denomination worth one cent or$\$$0.01. ### Penny and Nickel A nickel is worth 5 cents. So, 5 pennies are equivalent to a nickel. ### Penny and Dime A dime is worth 10 cents. So, a dime is equivalent to 10 pennies. ### Penny and Quarter A quarter is worth 25 cents. So, a quarter is equivalent to 25 pennies. ### Penny and Half Dollar A half dollar is worth 50 cents. So, a half dollar is equivalent to 50 pennies. ### Penny and Dollar A dollar is worth 100 cents. Therefore, it is equivalent to 100 pennies. Therefore, there are a hundred pennies in a dollar. ## Adding Pennies Let’s understand the addition of pennies with an example. Example 1: Joe and her friends break their piggy banks. Joe has 100 pennies, Lily has 10 nickels, Harry has 5 dimes, and Tom has three quarters. The total value of coins they have is: We know that one nickel = 5 cents. So, 10 nickel = 10 \times 5 = 50 cents So, Lily had 50 pennies. We know that one dime = 10 cents So, 5 dimes = 5 \times 10 cents = 50 cents So, Harry had 50 pennies. We know that one quarter = 25 cents So, 3 quarters = 3 \times 25 cents = 75 cents So, Tom had 75 pennies. Total amount = 50 + 50 + 75 + 100 pennies = 275 pennies ## Why Is One Cent Called a Penny? Penny is a British coin that has been there since 1714. Even after the US independence, the British colonial practice of referring to coins with small value as “penny” continued. Therefore, people colloquially refer to the US cent as a “penny” to date. ## Penny Weight in Grams The weight of a penny has changed significantly (reduced) over time. It weighed 13.48 grams in 1793 and currently weighs just 2.5 grams. ## Penny Facts • After the abolition of the half-cent in 1857, pennies became the official US coin of the lowest denomination in circulation. • Historically, the US Mint-issued pennies were either made of copper or copper plated. • The current penny is a copper-plated zinc coin with 97.5% zinc and 2.5% copper. • From 1944​​–46, the US Mint used ammunition shells used in the war to mint pennies. • The first penny was the Flowing Hair cent, issued in 1793. • Since 1909, the penny has featured Abraham Lincoln. • It takes more cents to mint a penny when compared to its face value. For instance, in 2019, minting a penny cost the US Mint around 2 cents. ## Conclusion Learning about pennies and how many pennies make a dollar can be fun. A penny is the smallest denomination coin in the United States. So, it is important to learn about its value and also know how many pennies make the other denominations. ## Solved Examples 1. How many pennies are there in \$$3.48?

Solution: We know that one dollar $= 100$ pennies

Therefore, 3.48 dollars $= 3.48 \times 100$

$= 348$ pennies

2. Which of the following has a higher value: 25 dimes or 250 pennies?

Solution: We know that one dime $= 10$ pennies

So, 25 dime $= 25 \times 10$

$= 250$ pennies

So, 25 dime $= 250$ pennies

So, both have the same value.

3. How many pennies are there in 15 nickels?

Solution: We know that 1 nickel $= 5$ pennies.

So, number of pennies in 15 nickels $= 5 \times 15$

$= 75$ pennies

4. A penny weighs 2.5 grams. What will be the weight of a bag of $\$$1.8 worth of pennies? Solution: We know that \$$1$= 100$pennies So,$\$$1.8 = 1.8 \times 100 = 180 pennies One penny weighs 2.5 grams. So, the weight of 180 pennies = 2.5 \times 180 = 450 grams 5. Arrange the following in descending order: (1) 50 nickels (2) 20 dimes (3) 300 pennies (4) 0.75 dollars Solution: We know that \$$1 $= 100$ pennies.

So, 0.75 dollars $= 0.75 \times 100$

$= 75$ pennies… (4)

We know that one dime $= 10$ pennies.

So, 20 dimes $= 20 \times 10$

$= 200$ pennies… (2)

We know that one nickel $= 5$ pennies.

So, 50 nickels $= 50 \times 5$

$= 250$ pennies… (1)

300 pennies $\gt$ 250 pennies $\gt$ 200 pennies $\gt$ 75 pennies

300 pennies $\gt$ 50 nickels $\gt$ 20 dimes $\gt$ 0.75 dollars

## Practice Problems

1

### Express $\$$3.76 in pennies 37.6 pennies 376 pennies 3,760 pennies 37,600 pennies CorrectIncorrect Correct answer is: 376 pennies \$$1$= 100$pennies. So,$\$$3.76 = 3.76 \times 100 = 376 pennies 2 ### Which of the following coin pairs makes \$$1?

5 pennies, 3 nickels, 3 dimes, and 2 quarters
3 pennies, 5 nickels, 4 dimes, and 1 quarter
7 pennies, 8 nickels, and 1 dime
5 pennies, 4 nickels, 3 dimes, and 1 quarter
CorrectIncorrect
Correct answer is: 5 pennies, 3 nickels, 3 dimes, and 2 quarters
3 nickels $= 3 \times 5 = 15$ pennies
3 dimes $= 3 \times 10 = 30$ pennies
2 quarters $= 2 \times 25 = 50$ pennies
5 pennies
Total $= 15 + 30 + 50 + 5$ pennies
$= 100$ pennies $=$ $\$$1 3 ### How many dimes are 270 pennies? 0.27 dimes 2.7 dimes 27 dimes 270 dimes CorrectIncorrect Correct answer is: 27 dimes 1 dime = 10 pennies. So, 1 penny = 0.1 dime. 270 pennies = 0.1 \times 270 = 27 dimes 4 ### Joe buys a chocolate bar for \$$15.13. She has a$\$$10 bill, a \$$5 bill, and a few coins. Choose the best pair of coins from the options below so that Joe can pay for the chocolate bar.

2 dimes and 3 pennies
1 quarter
2 nickels and 3 pennies
1 dime and 10 pennies
CorrectIncorrect
Correct answer is: 2 nickels and 3 pennies
Cost of the chocolate bar $=$ $\$$15.13 Total bills she has = 10 + 5 = \$$15 Remaining amount$= 15.13–15 =\$$0.13 2 nickels = 2 \times 5 = 10 pennies 3 pennies Total value of coins = 13 pennies = \$$0.13
5

### Arrange the following in ascending order:(1) 4 half-a-dollar bill (2) 150 pennies (3) $\$$1.75 (4) 19 dimes (5) 3 quarters (1) \lt (2) \lt (3) \lt (4) \lt (5) (5) \lt (2) \lt (3) \lt (4) \lt (1) (5) \lt (4) \lt (3) \lt (2) \lt (1) (3) \lt (2) \lt (4) \lt (5) \lt (1) CorrectIncorrect Correct answer is: (5) \lt (2) \lt (3) \lt (4) \lt (1) (1) 4 half-a-dollars = \$$ 4 X ½ =$\$$2 = 2 \times 100 = 200 pennies (2) 150 pennies (3) \$$1.75 =1.75 \times 100 = 175$pennies (4) 19 dimes$= 19 \times 10 = 190$pennies (5) 3 quarters$= 3 \times 25 = 75\$ pennies
In ascending order, 75 pennies (5)