# Powers of Decimals

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

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:

### 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

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

0.0001
• Question 2

Work out:

0.24

0.0016
• Question 3

Work out:

0.33

0.027
• Question 4

Work out:

0.63

0.216
• Question 5

Work out:

0.51

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

Work out:

0.014

0.00000001
• Question 7

Work out:

0.023

0.000008
• Question 8

Work out:

0.054

0.00000625
• Question 9

Work out:

0.025

0.0000000032
• Question 10

Work out:

0.084

0.00004096
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