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Multiplying and Dividing by Tenths

In this worksheet, students practise multiplying and dividing by tenths. They should first attempt their answers mentally.

'Multiplying and Dividing by Tenths' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:  

Worksheet Overview

This worksheet is about multiplication and division by tenths.

 

Work out the following problems mentally.

Example 1 

0.9 × 0.9

9 × 9 = 81

As we've multiplied both 0.9's by 10 we've multiplied by a total of 100. This means we will need to divide our answer by 100.

So, 0.9 × 0.9 = 0.81

 

Example 2 

0.9 × 9000

9 × 9000 = 81000

As we've multiplied 0.9 by 10 to get 9 we will need to divide our answer by 10.

So, 0.9 × 9000 = 8100

 

Example 3 

8.1 ÷ 9

81 ÷ 9 = 9

As we've multiplied 8.1 by 10 to get 81 we will need to divide our answer by 10.

So, 8.1 ÷ 9 = 0.9

 

Example 4

8.1 ÷ 0.9

81 ÷ 9 = 9

As we've change the two values using the same proportion we don't need to do anything to the answer we get.

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