Solved Exercises on Simple Money Math Problems in Grade 1

Master money math: counting coins, adding money amounts, making change through these 5 detailed exercises.

Money Concepts & Values
🪙 Penny = 1¢ | Nickel = 5¢ | Dime = 10¢ | Quarter = 25¢ | 💵 Dollar = 100¢
Coin Values
Key Definitions:

Cent (¢): Smallest unit of US currency (100¢ = $1)

Dollar ($): Main unit of US currency

Counting Money: Adding up the values of coins and bills

1¢
Penny
5¢
Nickel
10¢
Dime
25¢
Quarter
$1
Dollar Bill
Important Rule: 100 cents equals 1 dollar ($1.00)
Conversion: To convert cents to dollars, divide by 100
Tip 1: Count the largest coins first (quarters, then dimes, nickels, pennies).
Tip 2: Group coins by type to make counting easier.
Tip 3: Remember: 4 quarters = 100¢ = $1.00
Solution: Exercises 1 to 3
1 Counting Coins
Exercise 1
Sarah has 3 quarters, 2 dimes, and 4 pennies. How much money does she have?
Definition:

Counting Money: Add up the values of all coins and bills

Counting Method:
  1. Identify each type of coin and its value
  2. Multiply the number of each coin by its value
  3. Add all the values together
  4. Convert to dollars and cents if needed
Step 1: Identify coin values

Quarter = 25¢, Dime = 10¢, Penny = 1¢

Step 2: Calculate each coin group

3 quarters = 3 × 25¢ = 75¢

2 dimes = 2 × 10¢ = 20¢

4 pennies = 4 × 1¢ = 4¢

Step 3: Add all values

75¢ + 20¢ + 4¢ = 99¢

Step 4: Convert to dollars

99¢ = $0.99

Sarah has 99¢ or $0.99
Final answer:

Sarah has 99¢ or $0.99

Applied rules:

• Multiplication: Number of coins × Value per coin

• Addition: Sum all individual values

• Conversion: 100¢ = $1.00

2 Addition with Money
Exercise 2
Tom bought a candy for 45¢ and a cookie for 25¢. How much did he spend in total?
Definition:

Adding Money: Combine amounts using regular addition

Step 1: Write the amounts

Candy: 45¢, Cookie: 25¢

Step 2: Add the amounts

45¢ + 25¢ = 70¢

Step 3: Express in dollars

70¢ = $0.70

Tom spent 70¢ or $0.70
Final answer:

Tom spent 70¢ or $0.70

Applied rules:

• Addition: Same units (cents) can be added directly

• Regrouping: If sum ≥ 100¢, convert to dollars

3 Making Change
Exercise 3
Emma bought a toy for 65¢. She gave $1.00. How much change should she get back?
Definition:

Change: Amount returned when payment exceeds cost

Step 1: Convert to same units

$1.00 = 100¢

Step 2: Subtract cost from payment

100¢ - 65¢ = 35¢

Step 3: Convert back if needed

35¢ = $0.35

Emma should get 35¢ or $0.35 back
Final answer:

Emma should get 35¢ or $0.35 back

Applied rules:

• Subtraction: Payment - Cost = Change

• Unit Conversion: Ensure same units before calculating

Solution: Exercises 4 to 5
4 Comparing Money Amounts
Exercise 4
Jake has 2 quarters and 3 dimes. Mia has 1 dollar bill. Who has more money?
Definition:

Comparing Money: Find total value of each amount and compare

Step 1: Calculate Jake's money

2 quarters = 2 × 25¢ = 50¢

3 dimes = 3 × 10¢ = 30¢

Total for Jake = 50¢ + 30¢ = 80¢

Step 2: Calculate Mia's money

1 dollar bill = $1.00 = 100¢

Step 3: Compare the amounts

80¢ vs 100¢

100¢ > 80¢

Mia has more money (100¢ > 80¢)
Final answer:

Mia has more money because 100¢ > 80¢

Applied rules:

• Comparison: Convert to same units before comparing

• Greater Than: Use > symbol to show larger amount

5 Equal Money Combinations
Exercise 5
Show two different ways to make 50¢ using coins.
Definition:

Equal Combinations: Different sets of coins that equal the same amount

Step 1: Find first combination

Option 1: 2 quarters = 2 × 25¢ = 50¢

Step 2: Find second combination

Option 2: 5 dimes = 5 × 10¢ = 50¢

Step 3: Verify both equal 50¢

25¢ + 25¢ = 50¢ ✓

10¢ + 10¢ + 10¢ + 10¢ + 10¢ = 50¢ ✓

Two ways to make 50¢: 2 quarters OR 5 dimes
Final answer:

Way 1: 2 quarters = 50¢

Way 2: 5 dimes = 50¢

Applied rules:

• Flexibility: Multiple coin combinations can equal same amount

• Verification: Always check that combinations equal target amount

Questions & Answers

Question: My child is having trouble remembering the value of each coin. How can I help them memorize the values of pennies, nickels, dimes, and quarters?

Answer: Here are effective strategies to help your child memorize coin values:

  • Visual Memory: Use actual coins for hands-on learning. Let your child touch and examine each coin.
  • Mnemonic Device: "Penny = 1 cent, Nickel = 5 cents, Dime = 10 cents, Quarter = 25 cents"
  • Size Correlation: Point out that dimes are small but worth more than nickels, while quarters are large and worth the most.
  • Practice Games: Play "Guess the Coin" where you describe the value and ask them to identify the coin.
  • Real Life Application: Practice counting coins during shopping trips or when handling change.

Start with just one or two coins at a time, then gradually introduce others once they're comfortable with the basics.

Question: When I count money, I sometimes forget to add the tens place. How do I remember to count everything correctly?

Answer: Great question! Here's a foolproof method to count money without missing anything:

  1. Sort First: Group coins by type (all quarters together, all dimes together, etc.)
  2. Count by Tens: For dimes, count by 10s: 10, 20, 30, 40...
  3. Count by Fives: For nickels, count by 5s: 5, 10, 15, 20...
  4. Write It Down: Keep a running total on paper as you count each group
  5. Double Check: Count each group twice to make sure you didn't miss any

Example: 3 quarters, 2 dimes, 4 pennies
Quarters: 25, 50, 75¢
Dimes: 85, 95¢
Pennies: 96, 97, 98, 99¢

Question: How do I teach my students to make change without using subtraction algorithms they haven't learned yet?

Answer: For 1st graders, focus on concrete counting strategies:

  • Counting Up Method: Start from the cost and count up to the amount given
  • Concrete Manipulatives: Use actual coins to physically demonstrate the process
  • Number Line Approach: Draw a number line from the cost to the payment amount
  • Break It Down: Use smaller amounts first (under $1.00) before moving to larger amounts

Example: Item costs 65¢, paid with $1.00 (100¢)
Start at 65¢, count up: 70¢ (add 5¢), 80¢ (add 10¢), 90¢ (add 10¢), 100¢ (add 10¢)
Total change: 5¢ + 10¢ + 10¢ + 10¢ = 35¢

This builds conceptual understanding before formal algorithms.