Multiplying Decimals by Powers of 10

Examples, solutions, videos, and worksheets to help Grade 5 students learn how to multiply decimals by powers of 10.

How to multiply a decimal by a power of 10 for example 10, 100 or 1000?

There is a shortcut when we want to multiply decimals by powers of 10. We can multiply a decimal by a power of 10 by moving the decimal point. For each zero in the power of 10, we move the decimal point one place to the right.

For example,
To multiply by 10, we move the decimal point one place to the right.
4.65 x 10 = 46.5
To multiply by 100, we move the decimal point two places to the right.
4.65 x 100 = 465.
To multiply by 1000, we move the decimal point three places to the right.
4.65 x 1000 = 4650.

The following diagram shows how to multiply decimals by 10, 100, or 1000. Scroll down the page for more examples and solutions.

 

Worksheets to help you practice multiplying decimals by 10, 100 or 1000.

Multiplying Decimals by 10, 100, 1000
How to multiply decimals by 10, 100 or 1000.

Multiplying by Powers of Ten
How to multiply whole numbers and decimals by powers of ten?

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Multiply Decimals by Multiples of 10
Learn to multiply decimals by multiples of 10.

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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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