Coin Values and Combinations
Learn the value of each coin and different ways to make amounts using pennies, nickels, dimes, and quarters.
For Elementary Students
The Four Main Coins
In the United States, there are four coins you'll use most often:
Penny (1¢)
Value: 1 cent
Color: Brown/copper
What it looks like: Has Abraham Lincoln on the front
Symbol: 1¢ or $0.01
Nickel (5¢)
Value: 5 cents
Color: Silver
What it looks like: Has Thomas Jefferson on the front, bigger than a penny
Symbol: 5¢ or $0.05
Tip: 5 pennies = 1 nickel
Dime (10¢)
Value: 10 cents
Color: Silver
What it looks like: Has Franklin D. Roosevelt on the front, smallest coin!
Symbol: 10¢ or $0.10
Tip: Even though it's the smallest, it's worth more than a nickel!
Quarter (25¢)
Value: 25 cents
Color: Silver
What it looks like: Has George Washington on the front, largest common coin
Symbol: 25¢ or $0.25
Tip: 4 quarters = 1 dollar ($1.00)
Counting Mixed Coins
Strategy: Start with the largest coins and count up!
Example: You have 2 quarters, 1 dime, and 3 pennies. How much money?
- 2 quarters: 25¢ + 25¢ = 50¢
- 1 dime: 50¢ + 10¢ = 60¢
- 3 pennies: 60¢ + 1¢ + 1¢ + 1¢ = 63¢
Total: 63¢
For Junior High Students
Coin Relationships
Understanding how coins relate helps you count faster:
| Relationship | Equation |
|---|---|
| 5 pennies = 1 nickel | 5 × 1¢ = 5¢ |
| 2 nickels = 1 dime | 2 × 5¢ = 10¢ |
| 10 pennies = 1 dime | 10 × 1¢ = 10¢ |
| 5 nickels = 1 quarter | 5 × 5¢ = 25¢ |
| 2 dimes + 1 nickel = 1 quarter | 10¢ + 10¢ + 5¢ = 25¢ |
| 4 quarters = 1 dollar | 4 × 25¢ = 100¢ = $1.00 |
Making Amounts in Different Ways
How many ways can you make 25¢?
- 1 quarter
- 2 dimes + 1 nickel
- 2 dimes + 5 pennies
- 1 dime + 3 nickels
- 1 dime + 2 nickels + 5 pennies
- 5 nickels
- 25 pennies ...and many more!
Fewest coins: Always use the largest coins possible.
To make 25¢ with the fewest coins: 1 quarter (not 25 pennies!)
Finding Combinations
Problem: Make 50¢ using the fewest coins.
Solution:
- Best: 2 quarters (2 coins)
- Also works: 5 dimes (5 coins) — but more coins
- Also works: 10 nickels (10 coins) — even more coins
- Worst: 50 pennies (50 coins!)
Strategy: Use quarters first, then dimes, then nickels, then pennies.
Making a Dollar
$1.00 = 100¢
Ways to make a dollar:
| Combination | Total |
|---|---|
| 4 quarters | 100¢ |
| 10 dimes | 100¢ |
| 20 nickels | 100¢ |
| 100 pennies | 100¢ |
| 2 quarters + 5 dimes | 50¢ + 50¢ = 100¢ |
Skip Counting with Coins
Quarters: Count by 25s
25, 50, 75, 100...
Dimes: Count by 10s
10, 20, 30, 40...
Nickels: Count by 5s
5, 10, 15, 20...
Pennies: Count by 1s
1, 2, 3, 4...
Example: Count 3 quarters, 2 dimes, 1 nickel
- Quarters: 25, 50, 75¢
- Dimes: 85, 95¢
- Nickel: 100¢
Total: $1.00
Converting Cents to Dollars
100 cents = $1.00
Examples:
- 50¢ = $0.50
- 75¢ = $0.75
- 125¢ = $1.25
- 250¢ = $2.50
Rule: Put a decimal point two places from the right.
Real-Life Uses
Shopping: "This costs 75¢. I have 3 quarters!"
Saving: "I saved 8 quarters. That's $2.00!"
Vending machines: "I need $1.25. That's 5 quarters."
Making change: We will learn more about this later.
Practice
How much is 3 dimes worth?
What is the fewest number of coins to make 30¢?
You have 2 quarters, 1 dime, and 2 nickels. How much money?
How many quarters make one dollar?