Multiply and divide decimals by 10, 100 and 1000

Home learning focus

Learn how to multiply and divide decimals by 10, 100 and 1000.

This lesson includes:

  • one video
  • one interactive activity
  • two worksheets

Learn

Did you know that when you multiply and divide a decimal by 10, 100 and 1000, the place value of the digits either increases or decreases?

  • When multiplying, the digits move to the left since the number gets bigger.
  • When dividing, the digits move to the right since the number gets smaller.

It is important to remember that the decimal point does not move.

Decimals in daily life

Multiplying and dividing decimals helps you in everyday life. It can help you to:

  • convert pounds into pence and vice versa.
  • convert measures such as kilograms to grams and millilitres to litres and vice versa when baking.
  • convert length, for example if you needed to work out how much space a small wardrobe would take up in a room measured in metres.

You can use place value charts to help multiply and divide by 10, 100 and 1000. This enables you to see how the digits increase or decrease in value.

A trick to help you remember how many places the digits need to move is by looking at the zeros in 10, 100 and 1000.

For example, if you multiply or divide by 1000, you either move 3 places to the right or left.

  • 1 zero = 1 place
  • 2 zeros = 2 places
  • 3 zeros = 3 places

Multiplying and dividing by 10

This video will help you to understand place value and how it can be used to multiply and divide decimals by 10. Why not make some notes as you watch the video to help you to remember later?

Multiply 4.2 by 10

Multiplying by 10

What is 4.2 x 10?

1 of 4
What is 3.12 × 100?

Multiplying by 100

What is 3.12 × 100?

1 of 4
What is 0.04 × 1000?

Multiplying by 1000

What is 0.04 × 1000?

1 of 4

Practise

Activity 1

Multiplying and dividing by 10

Use what you have learnt about place value to multiply and divide these numbers by 10.

Activity 2

Multiplying and dividing by 10 and 100

Now complete the activities in this worksheet from Collins to multiply and divide the numbers by 10 and 100.

Multiplying and dividing by 10 and 100

The answers can be found here under the header 'Pages 36-7'.

Activity 3

Multiplying and dividing decimals by 10, 100 and 1000 with missing numbers

Print out and complete the activities in this worksheet from Twinkl and see if you can work out the missing numbers. The answers are on pages 2, 4 and 6 of the worksheet.

Multiplying and dividing decimals by 10, 100 and 1000 with missing numbers

There's more to learn

Have a look at these other resources around the BBC and the web.

More lessons for Year 6 and P7
KS2 Maths
Newsround
Primary games