# Multiplying and dividing a number by 10, 100 and 1,000

I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000

# Multiplying and dividing a number by 10, 100 and 1,000

I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000

## Slide deck

## Lesson details

### Key learning points

- To multiply a number by 1,000 move the digits three places to the left - this makes the number 1,000 times the size.
- To divide a number by 1,000 move the digits three places to the right - this makes the numbers 1,000th times the size.
- A place value chart can be used to explain how the digits move when you multiply or divide by 10, 100 and 1,000.
- Use a Gattengo chart can be used to explain how the digits move when you multiply divide by 10, 100 and 1,000.
- Dividing by 10, 100 or 1,000 is equivalent to multiplying by 0.1, 0.01 or 0.001 respectively.

### Common misconception

Children may confuse use of the Base 10 equipment. They may also confuse the equivalence between dividing by 10/100/1,000 and multiplying by 0.1/0.01/0.001.

The large cube now represents one whole. The smaller blocks represent decimal fraction numbers. Use stem sentences to support common mistakes: when a number is divided by ___, it is the same as multiplying by ___

### Keywords

Thousandth - One-thousandth is one part in one thousand equal parts.

Equivalent - If something is equivalent, it has the same value. For example, £1 is equivalent to 100 p - they have the same value.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Worksheet

## Starter quiz

### 6 Questions

50

600

80

800

40

500

6,000

8

80

5

## Exit quiz

### 6 Questions

1 × 0.1

0.1 × 0.1

1 × 0.001

0.01 × 0.01

0.1 × 1

5,000

5

6

500

60

50