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Powers of Decimals

In this worksheet, students raise simple decimal numbers to the given powers.

'Powers of Decimals' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Decimals

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When we raise a number which is less than 1 to a given power, the answer is smaller than the original number.

 

Example

Work out (0.02)4

 

Answer

We must calculate 0.02 x 0.02 x 0.02 x 0.02

 

We know that 2 x 2 x 2 x 2 = 16

But now we must divide each of the 2s by 100

and therefore we must divide the 16 by 100000000.

 

16 ÷ 100000000 = 0.00000016

 

So  0.024 = 0.00000016

 

Similarly  0.23 = 0.008 and 0.043 = 0.000064

 

 

 

Work out:

 

0.14

Work out:

 

0.24

Work out:

 

0.33

Work out:

 

0.63

Work out:

 

0.51

Work out:

 

0.014

Work out:

 

0.023

Work out:

 

0.054

Work out:

 

0.025

Work out:

 

0.084

  • Question 1

Work out:

 

0.14

CORRECT ANSWER
0.0001
  • Question 2

Work out:

 

0.24

CORRECT ANSWER
0.0016
  • Question 3

Work out:

 

0.33

CORRECT ANSWER
0.027
  • Question 4

Work out:

 

0.63

CORRECT ANSWER
0.216
  • Question 5

Work out:

 

0.51

CORRECT ANSWER
0.5
EDDIE SAYS
Anything raised to the power 1 is simply the number itself
  • Question 6

Work out:

 

0.014

CORRECT ANSWER
0.00000001
  • Question 7

Work out:

 

0.023

CORRECT ANSWER
0.000008
  • Question 8

Work out:

 

0.054

CORRECT ANSWER
0.00000625
  • Question 9

Work out:

 

0.025

CORRECT ANSWER
0.0000000032
  • Question 10

Work out:

 

0.084

CORRECT ANSWER
0.00004096
---- OR ----

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