Cost: The price of an item
Payment: Money given to buy an item
Change: Money returned after purchase
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Making change: Returning the correct amount of money after a purchase
- Identify the cost of the item ($0.75)
- Identify the payment given ($1.00)
- Subtract cost from payment to find change
- Express the change in coins if needed
Cost = $0.75, Payment = $1.00
$1.00 - $0.75 = $0.25
$0.25 = 1 quarter
Sarah gets $0.25 in change, which is one quarter.
• Subtraction: Payment - Cost = Change
• Coin value: 1 quarter = $0.25
• Verification: $0.75 + $0.25 = $1.00 ✓
Multiple coins: Using more than one type of coin for payment
2 quarters = 2 × $0.25 = $0.50
$0.50 - $0.45 = $0.05
$0.05 = 1 nickel
Tom receives $0.05 in change, which is one nickel.
• Multiplication: 2 quarters = 2 × $0.25 = $0.50
• Subtraction: $0.50 - $0.45 = $0.05
• Coin identification: $0.05 = 1 nickel
Dollar amounts: Working with dollars and cents together
Cost = $1.80, Payment = $2.00
$2.00 - $1.80 = $0.20
$0.20 = 2 dimes OR 4 nickels OR 20 pennies
Emma gets $0.20 in change, which could be 2 dimes.
• Decimal subtraction: $2.00 - $1.80 = $0.20
• Equivalent values: $0.20 = 20¢ = 2 dimes
• Verification: $1.80 + $0.20 = $2.00 ✓
Mixed coins calculation: Adding different coin values before subtraction
3 quarters = 3 × $0.25 = $0.75
$0.75 - $0.60 = $0.15
$0.15 = 1 dime + 1 nickel OR 3 nickels OR 15 pennies
$0.15 = 1 dime + 1 nickel
Alex receives $0.15 in change, which is 1 dime and 1 nickel.
• Multiplication: 3 × $0.25 = $0.75
• Subtraction: $0.75 - $0.60 = $0.15
• Multiple representations: $0.15 can be made with different coin combinations
Multi-item purchase: Adding costs of multiple items before calculating change
$1.25 + $0.35 = $1.60
$2.00 - $1.60 = $0.40
$0.40 = 4 dimes OR 1 quarter + 1 dime + 1 nickel OR 8 nickels
$0.40 = 4 dimes
Maya receives $0.40 in change, which is 4 dimes.
• Addition: Total cost = $1.25 + $0.35 = $1.60
• Subtraction: $2.00 - $1.60 = $0.40
• Verification: $1.60 + $0.40 = $2.00 ✓