Math worksheet · Place value and number decomposition

Powers of Ten and Exponents

Twenty-four problems with 10², 10³ and 10⁴: write the number, multiply by a power of ten and divide by one.

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Grade level
5th grade
Time
About 20 minutes
Answer key
Yes, page 2 of the PDF
Kids practice
Place value, Expanded form, Comparing and ordering numbers, Rounding

What kids do

“The little number tells how many times to multiply by 10. 10³ = 10 × 10 × 10 = 1,000.”

Sample problems

  • 9 × 103 =
  • 80,000 ÷ 103 =
  • 8,000 ÷ 102 =
  • 9 × 102 =
  • 3 × 104 =

Teacher tip

Ask kids to write 10³ the long way (10 × 10 × 10) for the first few.

How to use it

  • Build the first number with base-ten blocks before kids write anything.
  • Draw a place value chart on the board and keep it up while kids work.
  • Do the first problem together under a document camera, then let kids finish on their own.

Watch for

Zeros as placeholders. Kids often write 307 as 37 or three hundred seven as 3007.

Talk about it

  • What is this digit worth? How do you know?
  • Which problem was the hardest? What made it hard?

Take it further

Play “build the biggest number” with digit cards in pairs.

US Letter, prints well in black and white. Free for home and classroom use: print as many copies as you need.

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