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Find the Square Roots of Decimals

In this worksheet, students will state the square roots of decimal numbers.

'Find the Square Roots of Decimals' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Popular topics:   Decimals worksheets

Difficulty level:  

Worksheet Overview

 

The words squared and square root are opposites.

 

We should know that 0.3 squared = 0.09 because 0.3 x 0.3 = 0.09

We write this as 0.32 = 0.09

 

And so the square root of 0.09 = 0.3

We write this as √0.09 = 0.3

 

Example

Work out √0.49 and √0.0001

 

Answer

√0.49 = 0.7 because 0.72 = 0.49

 

 √0.0001 = 0.01 because 0.01= 0.01 x 0.01 = 0.0001

 

If you find some of these hard to do, remember to count the number of decimal places in the question and make sure that you have the same number of decimal places in the answer!

 

boy with magnifying glass

 

 √0.0001 has four decimal places, so we know that we must have four decimal places in the answer:

0.01 x 0.01 is four decimal places!

 

Time for some questions now.

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