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Math · Grade 2 Math

Chapter 7: Money and Data

Counting Mixed Coins

Start with the biggest and work down.

Lesson
3
Time
About 13 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Sort the coins by kind before you count anything.

Start with the biggest

Count the quarters, then the dimes, then the nickels, then the pennies.

Change your step as you go

Count 25, 50 for two quarters, then carry on 60, 70 for two dimes.

Why that order

Big steps first keeps the running total simple. Starting with pennies is slow and easy to lose.

Sort before you count

With mixed coins, first sort them into piles by kind, then start counting with the most valuable pile and work down. Starting with quarters, then dimes, then nickels, then pennies keeps you counting in ever-smaller steps, which is much easier to hold in your head.

A worked case

Two quarters, one dime, three pennies. Quarters: 25, 50. Add the dime: 60. Add three pennies: 61, 62, 63. Total 63 cents. Notice how the step size shrinks as you go — that is what makes this order comfortable.

Writing the amount

Sixty-three cents is written 63¢ or $0.63. Both are correct. The dollar form always shows two digits after the point, so five cents is $0.05, not $0.5. Getting that second digit right matters a great deal once you start adding money.

Step 2: Try It Yourself

Sort them, then count from the biggest.

Count the quarters first, then the dimes, then the pennies.
2 quarters · 25¢ each
2 dimes · 10¢ each
1 nickel · 5¢ each
3 pennies · 1¢ each

How many coins

8

How much it is worth

78¢

8 coins, worth 78¢. The number of coins and the amount are not the same thing.

Step 3: Watch an Example

One step at a time.

Watch Ana Count a Handful

Ana has 2 quarters, 2 dimes, 1 nickel and 3 pennies.

  1. Step 1

    She sorts them into piles by kind.

Step 4: Your Turn

Practice makes it stick.

In a Pocket

Problem 1 of 2

1 quarter, 2 dimes and 4 pennies. How many cents is that?

cents

How Many Coins?

Problem 2 of 2

1 quarter, 2 dimes and 4 pennies. How many coins is that?

coins

Count the Handful

1 of 4

2 dimes and 3 nickels. How many cents?

2 of 4

3 quarters and 2 pennies. How many cents?

3 of 4

1 quarter, 1 dime, 1 nickel. How many cents?

4 of 4

1 quarter, 1 dime, 1 nickel. How many coins?

Step 5: Quick Check

Show what you know.

Question 1 of 2

2 quarters and 3 dimes. How many cents?

Question 2 of 2

Which coin should you count first?

What You Learned

  • Sort the coins by kind first.
  • Count from the biggest value down.
  • Change your skip-counting step as you move to the next pile.