Multiply Decimals by Powers of 10 Worksheet

There are four sets of Multiply Decimal Worksheets:
Multiply Decimals by 10, 100, 1000
Multiply Decimals by Powers of 10
Multiply Decimals by Whole Numbers
Multiply Decimals by Decimals

Multiply Decimals by Powers of 10 Worksheets

In these free math worksheets, students practice how to multiply a decimal by a power of ten or multiply by exponents.

How to multiply a decimal by a power of 10?

To multiply a decimal by a power of 10, you can move the decimal point to the right by the number of zeros equal to the exponent in the power of 10.

For example:
To multiply 0.23 by 10, we move the decimal point one place to the right, which gives us 2.3
To multiply 0.5623 by 10², we move the decimal point two places to the right, which gives us 56.23
To multiply 0.87 by 10³, we move the decimal point three places to the right, which gives us 870

In general, to multiply a decimal by 10ⁿ, where n is a positive integer, we move the decimal point n places to the right.

Have a look at this video if you need to review how to multiply decimals by powers of 10.

• Multiplying Decimals by Powers of Ten

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More Multiply Decimals by Powers of 10 Worksheets

Printable
(Answers on the second page.)
Multiply Decimals by Powers of 10 Worksheet #1
Multiply Decimals by Powers of 10 Worksheet #2
Multiply Decimals by Powers of 10 Worksheet #3

Powers of 10 (eg. 10³=)
Multiply by Powers of 10 (eg. 4 × 10³=)
Divide Decimals by Powers of 10 (eg. 74.2 ÷ 10³=)

Online
Multiply by Powers of 10
Divide by Powers of 10

Related Lessons & Worksheets

Lesson on Exponents

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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