Examples, solutions, and lessons to help Grade 5 students learn to explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Common Core: 5.NBT.2

### Suggested Learning Targets

• I can express powers of 10 using exponents.
• I can explain the pattern for the number of zeros in a product relates to the power of 10.
• I can illustrate and explain a pattern for how multiplying/dividing by any decimal by a power of 10 relates to the placement of the decimal point.

Relating Place Value to Multiplying and Dividing by Powers of 10 (5-NBT-2)

Powers of 10

Patterns in zeros exercise

Multiplying a Decimal by a Power of 10 by moving the decimal to the right
A single postage stamp costs \$0.44. How much would a roll of 1000 stamps cost?

Dividing a Decimal by a Power of 10 by moving the decimal to the left

Dividing Decimals by a power of 10 by moving the decimal to the left

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