# 10 Free Multiplying and Dividing by Powers of 10 Worksheets

Hello, kiddos! Today, we will introduce you all to a new type of mathematical notation. Here,  you can learn and practice exciting multiplying and dividing by powers of 10 worksheets where you have to add some zero or decrease some zero.

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

Now, we will start our main activity- multiplying and dividing by powers of 10 worksheets. Power of 10: Definition with Examples Now look at the image champ, what are you seeing here? 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

Multiplying and dividing whole numbers by powers of 10 is the easiest one. Two different worksheets are added here for your kiddos. One for multiplying and another for dividing. And also, there are three segments- easy, medium, and hard mathematics on each worksheet. I am pretty sure that you will enjoy it with your little ones.

#### Multiplying Whole Numbers by Powers of 10

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

#### Dividing Whole Numbers by Powers of 10

Now in this section, we will introduce a worksheet and solution for your little champs on 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 also Two different worksheets are added: One for multiplying and another for dividing with three segments- easy, medium, and hard mathematics on each worksheet.

#### Multiplying Decimal Numbers by Powers of 10

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

#### Dividing Decimal Numbers by Powers of 10

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

### Multiplying and Dividing Fractions by Powers of 10

Multiplying and dividing Fractons!!

Just an extra step to do here. Do not worry. I will show you here 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

#### Multiplying Fractions by Powers of 10

I think you can fill in all the blanks in the worksheet. This worksheet is about multiplying fractions by powers of 10.

#### Dividing Fractions by Powers of 10

This worksheet is about dividing fractions by powers of 10 for your little ones. 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. #### Multiplying Mixed Numbers by Powers of 10

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

#### Dividing Mixed Numbers by Powers of 10

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

New one!! Multiplying and dividing by negative powers of 10. 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

#### Multiplying by Negative Powers of 10

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

#### Dividing by Negative Powers of 10

And our last worksheet about dividing by negative powers of 10 with the solution is given.