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Zeros as Placeholders

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Zeros as Placeholders

Read and Notice

Elijah is saving for a scooter. In the number 306, the zero shows that there are no tens: 3 hundreds, 0 tens, and 6 ones. A zero holds a place so the other digits keep their values.

1.Circle the zero in each number that has one: 306, 36, 204, 81.
2.Which amount is greater: 306 cents or 36 cents?
  • 306 cents
  • 36 cents
3.In 306, what does the zero tell you?
  • There are 0 tens.
  • There are 0 hundreds.
  • There are 0 ones.

Show What You Know

Use place value to think about hundreds, tens, and ones.

4.Write a short story that uses both 405 and 720. Include what each number could count.
5.Draw base-ten blocks to show 508. Use one large square for each hundred, a long rectangle for each ten, and a small square for each one.
6.Write 607 in expanded form.

Zero Detective

Compare each pair and think about how the zero changes a digit's place value.

7.Select every pair in which the numbers are different: 304 and 34; 560 and 56; 123 and 123; 702 and 72.
  • 304 and 34
  • 560 and 56
  • 123 and 123
  • 702 and 72
8.Why can a zero be important in a three-digit number?
9.Use the digits 6, 0, and 8 once each to make the greatest possible three-digit number. How many hundreds, tens, and ones does it have?

2 printable pages

  • Zeros as Placeholders, page 1 of 2: Read and Notice, Show What You Know

    Page 1

  • Zeros as Placeholders, page 2 of 2: Zero Detective

    Page 2

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