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Multiplication and Division of Numbers by the Powers of 10 (0.1 - 1000)

In this worksheet, students must multiply or divide numbers by powers of 10 (0.1 to 1000).

'Multiplication and Division of Numbers by the Powers of 10 (0.1 - 1000)' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Use Four Operations for All Numbers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

This worksheet is about multiplying or dividing by powers of 10, such as 0.1, 10, 100 and 1000.

 

Multiplying by 10, 100 or 1000

Each digit moves to the left 1 place, 2 places or 3 places. 

Use zeros to fill in blank columns.

 

55.6 × 10 = 556

55.6 × 100 = 5560

55.6 × 1000 = 55600

 

Dividing by 10, 100 or 1000

Each digit moves to the right 1 place, 2 places or 3 places. 

Use zeros to fill in blank columns.

 

55.6 ÷ 10 = 5.56

55.6 ÷ 100 = 0.556

55.6 ÷ 1000 = 0.0556

 

 

Multiplying by 0.1

Each digit moves to the left -1 place. This is really 1 place to the right.

55.6 × 0.1 = 5.56

 

Multiplying by 0.1 makes a number smaller.

 

Dividing by 0.1

Each digit moves to the right -1 place. This is really 1 place to the left.

55.6 ÷ 0.1 = 556

 

Dividing by 0.1 makes a number bigger.

Work out:

23.7 × 1000

Work out:

23.72 × 100

Work out:

23.72 ÷ 100

Work out:

0.28 ÷ 10

Work out:

40.25 × 1000

Work out:

3.2 ÷ 1000

Work out:

0.51 ÷ 10

Work out:

20.07 × 100

Work out:

5.69 × 0.1

Work out:

202 ÷ 0.1

  • Question 1

Work out:

23.7 × 1000

CORRECT ANSWER
23700
EDDIE SAYS
Each digit moves 3 places to the left.
  • Question 2

Work out:

23.72 × 100

CORRECT ANSWER
2372
EDDIE SAYS
Each digit moves 2 places to the left.
  • Question 3

Work out:

23.72 ÷ 100

CORRECT ANSWER
0.2372
EDDIE SAYS
Each digit moves 2 places to the right.
  • Question 4

Work out:

0.28 ÷ 10

CORRECT ANSWER
0.028
EDDIE SAYS
Each digit moves 1 place to the right.
  • Question 5

Work out:

40.25 × 1000

CORRECT ANSWER
40250
EDDIE SAYS
Each digit moves 3 places to the left.
  • Question 6

Work out:

3.2 ÷ 1000

CORRECT ANSWER
0.0032
EDDIE SAYS
Each digit moves 3 places to the right.
  • Question 7

Work out:

0.51 ÷ 10

CORRECT ANSWER
0.051
EDDIE SAYS
Each digit moves 1 place to the right.
  • Question 8

Work out:

20.07 × 100

CORRECT ANSWER
2007
EDDIE SAYS
Each digit moves 2 places to the left.
  • Question 9

Work out:

5.69 × 0.1

CORRECT ANSWER
0.569
EDDIE SAYS
Each digit moves -1 place to the left or 1 place to the right.
  • Question 10

Work out:

202 ÷ 0.1

CORRECT ANSWER
2020
EDDIE SAYS
Each digit moves -1 place to the right or 1 place to the left.
---- OR ----

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