**Related Pages**

Math Worksheets

Lessons for Fifth Grade

Free Printable Worksheets

Printable “Multiply by Tens” Worksheets:

Multiply by 10, 100 or 1000

Multiply by Multiples of 10 (eg. 6 x 30)

Multiplying Multiples of 10, 100, 1000 (eg. 70 x 400)

Multiply by Powers of 10 (eg. 4 × 10^{3})

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

**How to multiply a whole number by a power of 10?**

To multiply a whole number by a power of 10, add as many zeros to the end of the number as the exponent in the power of 10.

For example:

567 x 10^{3} = 567,000 (add 3 zeros to the end of 567)

89 x 10^{4} = 890,000 (add 4 zeros to the end of 89)

In general, to multiply a whole number by 10^{n}, where n is a positive integer, we add n zeros to the end of the number.

This method is straightforward and efficient, especially for mental math or quick calculations. Understanding the concept of place value is crucial to seeing why this method works: multiplying by powers of 10 effectively shifts the digits to the left, increasing the value of the number by the specified factor.

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

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Multiply by Powers of 10 Worksheets**.

**Printable**

(Answers on the second page.)

Multiply by Powers of 10 Worksheet #1

Multiply by 10

Powers of 10 (eg. 10^{3})

Multiply Decimals by Powers of 10 (eg. 3.2 × 10^{3})

Divide Decimals by Powers of 10 (eg. 74.2 ÷ 10^{3})

**Online**

Multiply by Powers of 10

Divide by Powers of 10

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