New
New
Year 5

# 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

New
New
Year 5

# 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

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## Lesson details

### Key learning points

1. To multiply a number by 1,000 move the digits three places to the left - this makes the number 1,000 times the size.
2. To divide a number by 1,000 move the digits three places to the right - this makes the numbers 1,000th times the size.
3. A place value chart can be used to explain how the digits move when you multiply or divide by 10, 100 and 1,000.
4. Use a Gattengo chart can be used to explain how the digits move when you multiply divide by 10, 100 and 1,000.
5. 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).

## Starter quiz

### 6 Questions

Q1.
Match the factors to their product.
Correct Answer:5 × 10 = ,50

50

600

Correct Answer:800 ÷ 10 = ,80

80

800

Correct Answer:400 ÷ 10 = ,40

40

Q2.
Match the equation to the correct product or quotient.

500

Correct Answer:60 × 100 = ,6,000

6,000

Correct Answer:800 ÷ 100 = ,8

8

80

Correct Answer:500 ÷ 100 = ,5

5

Q3.
Look at the images of base 10 blocks and complete the sentence. There are tenths in one whole.
Q4.
Look at the images of base 10 blocks and complete the sentence. There are hundredths in one whole.
Q5.
Look at the images of base 10 blocks and complete the sentence. There are hundredths in one tenth.
Q6.
Dividing by 10 is the same as multiplying by
Correct Answer: 0.1, one tenth, one-tenth

## Exit quiz

### 6 Questions

Q1.
One-thousandth is composed of parts of one-hundredth.
Q2.
Which equations can be formed from this statement? One tenth has been divided into 100 equal parts. Each part is one thousandth of the whole.
0.1 ÷ 10 = 0.01
1 × 0.001 = 0.001
0.1 ÷ 100 = 0.01
Correct answer: 0.1 ÷ 100 = 0.001
Correct answer: 0.1 × 0.01 = 0.001
Q3.
When a number is multiplied by 1,000, the digits move places to the left.
Q4.
Use the Gattegno chart to complete the sentence. 0.001 is times smaller than 0.1
1
10
1,000
Q5.
Match the division expression to its equivalent multiplication expression.
Correct Answer:1 ÷ 10,1 × 0.1

1 × 0.1

Correct Answer:0.1 ÷ 10,0.1 × 0.1

0.1 × 0.1

Correct Answer:1 ÷ 1,000,1 × 0.001

1 × 0.001

Correct Answer:0.01 ÷ 100 ,0.01 × 0.01

0.01 × 0.01

Correct Answer:0.1 ÷ 1,0.1 × 1

0.1 × 1

Q6.
Match the equations to their product.
Correct Answer:5 × 1,000 = ,5,000

5,000

5

6

Correct Answer:5,000 × 0.1 = ,500

500

Correct Answer:6,000 ÷ 100 = ,60

60

Correct Answer:5,000 × 0.01 = ,50

50