New
New
Year 5

# The relationship between multiplying by 0.1 and dividing by 10

I can explain the relationship between multiplying by 0.1 and dividing by 10

New
New
Year 5

# The relationship between multiplying by 0.1 and dividing by 10

I can explain the relationship between multiplying by 0.1 and dividing by 10

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## Lesson details

### Key learning points

1. 0.1 can be represented as the fraction 1/10
2. Multiplying by 0.1 is the same as multiplying by 1/10
3. Multiplying by 1/10 is the same as dividing by 10
4. Multiplying by 0.1 is the same as dividing by 10

### Common misconception

Children may struggle to make the connection between multiplying by 0.1 and dividing by ten.

When we multiply by 0.1, it is the same as multiplying by one-tenth. When we multiply by a unit fraction, we can divide by the denominator - in this case, 10.

### Keywords

• Unit fraction - A unit fraction is any fraction with a numerator of one.

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

### 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.
There are millimetres in one centimetre.
Q2.
Match the equation to its answer

12

100

40

47

350

35

Q3.
Match the expression to its answer.

1

3

9

2.5

0.3

Q4.
If 3,490 is divided by 10, which digit would be in the ones place after the division?
3
4
0
Q5.
Lucas has 350 marbles. He packs them equally into ten bags. How many marbles are in each bag? marbles.
Q6.
Sofia has 54 cm of ribbon. She cuts it into 10 equal pieces. What is the length of each piece? cm

## Exit quiz

### 6 Questions

Q1.
One tenth of 30 kg = kg
Q2.
One tenth of 6 ml = ml
Q3.
One tenth of 1.6 m = m
Q4.
Match the equation to its answer.

60

6

Correct Answer:6 × 0.1 = ,0.6

0.6