Skill: Make a given amount with coins

Explanation and Free Practice Resources

The learner understands that a target amount, typically up to $1, can be composed and decomposed using pennies, nickels, dimes, and quarters, whose values are 1, 5, 10, and 25 cents, respectively. They recognize different coin combinations as equivalent when their total value is the same, using counting and addition rather than relying on the number or physical size of the coins; decimal money, larger amounts, and optimization for the fewest coins are not included.

Detailed Explanation: Make a given amount with coins

To make an amount, choose coins whose values add up to the target amount.

  • Penny (=1)(=1) cent
  • Nickel (=5)(=5) cents
  • Dime (=10)(=10) cents
  • Quarter (=25)(=25) cents

Example: Make (42)(42) cents.

  1. Start with a quarter: (25)(25) cents.
  2. Add a dime:
25+10=35 25+10=35
  1. Add a nickel:
35+5=40 35+5=40
  1. Add two pennies:
40+1+1=42 40+1+1=42

So, (42)(42) cents can be made with 1 quarter, 1 dime, 1 nickel, and 2 pennies.

The total value matters, not the number, size, or type of coins. For example, four dimes and two pennies also make (42)(42) cents because (40+2=42)(40+2=42).

Learn by doing: Make a given amount with coins

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Coin Math - Count Piles - Pennies, Nickels, Dimes


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