# 10 Free Multiplying and Dividing by Powers of 10 Worksheets

These multiplying and dividing by powers of 10 worksheets will help to visualize and **understand multiplication, division, and number sense**. 5th-grade students will learn basic multiplying and dividing by powers of 10 and can improve their basic math skills with our free printable multiplying and dividing by powers of 10 worksheets.

## 10 Free Multiplying and Dividing by Powers of 10 Worksheet

Please download the following multiplying and dividing by powers of 10 worksheets and practice multiplying and dividing on the pages.

**Power of 10: Definition with Examples**

Though this article is about multiplying and dividing by powers of 10 worksheet, let’s start with some things that we already know. First, multiplying 10 by itself a certain number of times, we can call it **powers of 10**.

Now look at the image, the size of each equation is ten times the size of the previous equation. Right? Also, the number of zeros in each equation is the same as in the number of tens multiplied together.

**Base and Exponent of Power of 10**

The second one is about base and exponent. A power of 10 consists of a base and an exponent, which are represented below:

**Lesson and Tricks on Multiplying and Dividing by Powers of 10**

- Multiplying by powers of 10, simply move the decimal to the right as the same number of exponents or as the number of zeros.

** ****Example:**

47 x 10² = 47 x 10 x 10 = 4700

5.4 x 10³ = 5.4 x 10 x 10 x 10 = 5400

- Dividing by powers of 10, simply move the decimal to the left as the same number of exponents or as the number of zeros.

** Example:**

47 ÷ 10² = 47 ÷ ( 10 x 10 ) = 0.47

5.4 ÷ 10³ = 5.4 ÷ ( 10 x 10 x 10 ) = 5.4 ÷ 1000= 0.0054

## Multiplying and Dividing Whole Numbers by Powers of 10

Two different worksheets are added here for multiplying and dividing whole numbers by powers of 10. One for multiplying and another for dividing. Also, there are three segments- easy, medium, and hard mathematics on each worksheet.

Here is a worksheet and solution for your kids on multiplying whole numbers by powers of 10.

Now in this section, we will introduce a worksheet and solution for **dividing whole numbers **by powers of 10.

## Multiplying and Dividing Decimal Numbers by Powers of 10

Multiplying and dividing decimal numbers by powers of 10 is just moving the decimal to the right and the left. Here, two different worksheets are added: One for multiplying and another for dividing with three segments- easy, medium, and hard mathematics on each worksheet.

So, here is the worksheet and solution for **multiplying decimal** numbers by powers of 10.

And, this worksheet is for dividing decimal numbers by powers of 10. Don’t forget about the solution. The solution is attached after the worksheet page.

## Multiplying and Dividing Fractions by Powers of 10

Just an extra step to do for fractions here. I will show you the process simply. At first, you have to convert the fraction number to a decimal number. Then just follow multiplying and dividing decimal numbers by powers of 10.

**Example: **

1/2 x 10² = 0.5 x 10² = 50

1/2 ÷ 10² = 0.5 ÷ 10² = 0.005

Here you have to fill in all the blanks in the worksheet. This worksheet is about multiplying fractions by powers of 10.

This worksheet is about dividing fractions by powers of 10 for your little ones. The worksheet has been divided into three segments are also here for practice.

## Multiplying and Dividing Mixed Numbers by Powers of 10

The process of multiplying and dividing mixed numbers by powers of 10 is similar to the above process. At first, you just have to convert the mixed number to a fraction number. Then, fraction number to decimal number. And finally, just follow multiplying and dividing decimal numbers by powers of 10.

Now in this section, a worksheet with a solution for multiplying mixed numbers by powers of 10 is given.

And here is the worksheet on dividing mixed numbers by powers of 10 given for your kiddos.

## Multiplying and Dividing by Negative Powers of 10

In the following worksheet, multiplying and dividing by negative powers of 10 is added. Mainly the exponent or the power will be negative here. Go to our first worksheet section. For negative power, you just have to move the decimal to the alternative side.

For multiplying – move the decimal to the left

and For dividing- move the decimal to the right.

- Multiplying by negative powers of 10, simply move the decimal to the left as the same number of exponents or as the number of zeros.

** ****Example:**

23 x 10‾² = 23 ÷ 10² = 23 ÷ (10 x 10) = 0.23

3.4 x 10‾³ = 3.4 ÷ 10³ = 5.4 ÷ (10 x 10 x 10) = 0.0034

- Dividing by negative powers of 10, simply move the decimal to the right as the same number of exponents or as the number of zeros.

** Example:**

23 ÷ 10‾² = 23 x 10² = 23 x (10 x 10) = 2300

3.4 ÷ 10‾³ = 3.4 x 10³ = 5.4 x (10 x 10 x 10) = 3400

So, Here is a worksheet and solution for multiplying by negative powers of 10.

Our final worksheet about dividing by negative powers of 10 with the solution is given here.

## Download Free Worksheet PDF

Download the following combined PDF and enjoy your practice session.

So today, we’ve discussed multiplying and dividing by powers of 10 worksheets using the concepts of whole numbers, decimal numbers, fractions, and mixed numbers where you have to add some zero or decrease some zero. Download our free worksheets and after practicing these worksheets, the students will surely improve their mathematical skills and have a better understanding of multiplying and dividing by powers of 10.

Hi there!

I’m Nurun Nahar Chadni. I have completed my B. Arch degree from Rajshahi University of Engineering and Technology (RUET). Now, I’m working at Softeko as a Content Developer and Graphic Designer. My areas of keen interest are creative article writing, art, design, and illustration. I am looking forward to gaining experience as well as improving my technical and design knowledge. I am eager to represent typical math problems here with easy solutions and fun for our little ones.