New
New
Year 5

# Explain how to multiply and divide a number by 10, 100 and 1,000

I can explain how to multiply and divide a number by 10, 100 and 1,000

New
New
Year 5

# Explain how to multiply and divide a number by 10, 100 and 1,000

I can explain how to multiply and divide a number by 10, 100 and 1,000

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## Lesson details

### Key learning points

1. When you multiply by 10, 100 or 1,000, the digits move one, two or three places to the left respectively.
2. When you divide by 10, 100 or 1,000, the digits move one, two or three places to the right respectively.

### Common misconception

Children may 'add' a zero when multiplying or vice versa when dividing. Children may place a zero at the end of the decimal fraction when multiplying, or vice versa when dividing.

When we 'add' zero, the value of the number does not change. When we multiply or divide by a power of 10, we need to move all the digits the appropriate spaces to the left/right even if this means bridging one and moving into the decimal places.

### Keywords

• Tenth - One-tenth is one part in ten equal parts.

• Hundredth - One-hundredth is one part in one hundred equal parts.

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

Use Base 10 blocks, place value charts and Gattegno charts throughout to support where appropriate.
Teacher tip

### 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).

## Starter quiz

### 6 Questions

Q1.
Look at the Gattegno chart. Which number is being represented?
Q2.
Match the expressions to their product.

900

90

9

20

200

0

Q3.
When a number is multiplied by one hundred, the digits are moved __________ place value places to the left.
one
three
four
Q4.
Match the equations to their product.

7,000

Correct Answer:7000 ÷ 1,000 = ,7

7

5

Correct Answer:5,000 × 0.1 = ,500

500

Correct Answer:5,000 ÷ 100 = ,50

50

Correct Answer:3,000 × 0.01 = ,30

30

Q5.
Sofia is thinking of a number. Her number is ten times the size of 0.4 What is her number?
0.04
0.4
40
400
Q6.
Lucas is thinking of a number. His number is one hundredth times the size of 8 What is his number?
0.008
0.8
80
800

## Exit quiz

### 6 Questions

Q1.
When we multiply 0.95 by 100, what is the new value of the 9 digit?
Nine hundredths
Nine tenths
Nine ones
Nine hundreds
Q2.
1.04 × 10 =
1.040
14
104
Q3.
0.03 ÷ 10 = .
0.3
.003
.3
0.03
Q4.
Match the expression to its product.

7.2

720

48.2

482