Section 1
The Story of Money
A long, long time ago, people did not have coins or dollar bills. If you wanted a toy, you had to trade something for it. Maybe you gave someone two apples to get a ball. That was a lot of work! People needed something easier. So, over many years, they invented money.
Long, Long Ago
About 2,600 Years Ago
About 1,000 Years Ago
1792 — U.S. Coins Are Born!
Today
Today, you will learn how to count money and solve word problems about it. You will also learn when to use the dollar sign ($) and the cent sign (¢). Let's go!
Section 2
Coins and Bills — What Are They Worth?
Every coin and bill has a special value. That means each one is worth a different amount of money. Let's meet them!
Penny = 1¢
Nickel = 5¢
Dime = 10¢
Quarter = 25¢
A dollar bill is a piece of paper money. It is worth 100 cents, which we write as $1.00. That means 100 pennies = 1 dollar. Remember: 100 cents = 1 dollar.
✦ Key Takeaway
Section 3
Meet the Coins — A Picture Guide
This chart shows each coin, its name, and how much it is worth. Look at the sizes — a dime is the smallest coin, but it is worth more than a nickel!
Notice how the dime is the smallest coin in size, but it is worth more than the bigger nickel. In money, size does not tell you the value — you have to learn what each coin is worth!
Section 4
How to Count Money
When you count coins, you add up the value of each coin. It helps to start with the coin that is worth the most and then go to the smallest. Here is a good order:
Counting Order
Start with the biggest value and count down!
Let's say you have 1 quarter, 2 dimes, and 3 pennies. Here is how you count:
Adding Coins Step by Step
Quarter = 25¢, each dime = 10¢, each penny = 1¢
When you have dollars and cents together, you write the amount with a dollar sign ($) and a dot (called a decimal point). The dollars go on the left side and the cents go on the right side.
Dollars and Cents
The dot separates dollars from cents. Always write two digits after the dot.
Here are the two symbols you need to know:
| Symbol | Name | When to Use It | Example |
|---|---|---|---|
| $ | Dollar Sign | When you have one dollar or more | $2.50 |
| ¢ | Cent Sign | When you have less than one dollar (under 100 cents) | 75¢ |
✦ Key Takeaway
Section 5
Using $ and ¢ the Right Way
This is a very important rule! You use the ¢ sign when the total is less than 100 cents (less than a dollar). You use the $ sign when the total is 100 cents or more. Let's look at a picture that shows which sign to use.
Look at the picture above. The gold side is for amounts under a dollar — use ¢. The green side is for amounts that are a dollar or more — use $. The red line in the middle is where 100¢ becomes $1.00.
Here are some examples to practice:
| Amount in Cents | Right Way ✓ | Wrong Way ✗ |
|---|---|---|
| 45 cents | 45¢ | $45 or $0.45 |
| 99 cents | 99¢ | $99 |
| 100 cents | $1.00 | 100¢ |
| 150 cents | $1.50 | 150¢ |
| 250 cents | $2.50 | 250¢ |
Section 6
Worked Example — Solving a Money Word Problem
Let's solve a word problem together, step by step!
Word Problem
Solving Emma's Problem
- 1
Step 1 — Count the Quarters
Emma has 2 quarters. Each quarter is worth 25¢.25¢ + 25¢ = 50¢ - 2
Step 2 — Add the Dime
She has 1 dime worth 10¢.50¢ + 10¢ = 60¢ - 3
Step 3 — Add the Nickel
She has 1 nickel worth 5¢.60¢ + 5¢ = 65¢ - 4
Step 4 — Add the Pennies
She has 4 pennies. Each penny is worth 1¢.65¢ + 1¢ + 1¢ + 1¢ + 1¢ = 69¢ - 5
Step 5 — Compare and Answer
Emma has 69¢. The sticker costs 68¢. 69¢ is more than 68¢, so yes, Emma has enough money! She even has 1¢ left over. Since 69¢ is less than 100¢, we write it with the ¢ sign: 69¢. We do NOT write $69. That would mean sixty-nine dollars — way too much!
Section 7
Tips, Tricks, and Common Mistakes
Counting money is fun, but it can be tricky! Here are some tips to help you get it right every time.
| Tip | Why It Helps |
|---|---|
| Count the big coins first | Start with quarters, then dimes, then nickels, then pennies. Bigger jumps are easier! |
| Skip count! | Count quarters by 25s. Count dimes by 10s. Count nickels by 5s. |
| Don't mix $ and ¢ | Never write $1.50¢. Pick one: $1.50 or 150¢ (but $1.50 is correct). |
| Check: Is it 100¢ or more? | If yes, switch to dollars. $1.00 not 100¢. |
| Draw the coins! | If you get stuck, draw circles and write the value inside each one. |
✦ Key Takeaway
Section 8
What Comes Next?
Great job learning about coins and dollar bills! In 2nd grade, you are building a strong money foundation. Here is what you will learn about money as you grow:
| What You Know Now | What You'll Learn Next |
|---|---|
| Counting coins up to $1.00 or more | Making change — figuring out how much money to give back |
| Using $ and ¢ the right way | Writing money amounts with decimals like $3.47 |
| Adding coins together | Adding and subtracting bigger money amounts |
| Solving word problems about buying things | Solving problems about saving, spending, and earning money |
Everything you learn today about pennies, nickels, dimes, and quarters will help you when you go shopping, save up for something special, or even run a lemonade stand!
Section 9
Practice Problems
Try these problems on your own! Click "Show Answer" when you are ready to check your work.
Question 1: Problem 1 — What Do You Know?
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Question 2: Problem 2 — Count the Coins
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Question 3: Problem 3 — A Bit Harder
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Question 4: Problem 4 — Word Problem
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Question 5: Problem 5 — Think About It
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Summary
What You Learned Today
Summary
Today you learned all about U.S. coins and dollar bills! A penny is worth 1¢, a nickel is worth 5¢, a dime is worth 10¢, and a quarter is worth 25¢. A dollar bill is worth 100¢, which is the same as $1.00. When you count coins, start with the biggest value and add the rest.
You also learned the important rule about the $ sign and the ¢ sign. When the total is less than 100 cents, use the ¢ sign after the number (like 75¢). When the total is 100 cents or more, use the $ sign before the number with a dot (like $1.25). Never use both signs at the same time. Keep practicing, and you will be a money-counting star!