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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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New
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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

Download all resources
arrow-right
Share activities with pupils
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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

Keywords

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

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

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.

Real-life exposure to the relationship between one-tenth and its whole - showing the children that ten equal parts are needed to make the whole. Children should be secure with multiplying and dividing by ten to avoid cognitive overload. Where appropriate, discuss when we write 1, 1.0 or 1.00
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).

Lesson video

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Starter quiz

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6 Questions

Q1.
There are millimetres in one centimetre.
Correct Answer: 10, ten
Q2.
Match the equation to its answer
Correct Answer:1.2 × 10 =,12

12

Correct Answer:10 × 10 =,100

100

Correct Answer:4 × 10 =,40

40

Correct Answer:4.7 × 10 =,47

47

Correct Answer:35 × 10 =,350

350

Correct Answer:3.5 × 10 =,35

35

Q3.
Match the expression to its answer.
Correct Answer:10 ÷ 10,1

1

Correct Answer:30 ÷ 10,3

3

Correct Answer:90 ÷ 10,9

9

Correct Answer:25 ÷ 10 ,2.5

2.5

Correct Answer:3 ÷ 10 ,0.3

0.3

Q4.
If 3,490 is divided by 10, which digit would be in the ones place after the division?
3
4
Correct answer: 9
0
Q5.
Lucas has 350 marbles. He packs them equally into ten bags. How many marbles are in each bag? marbles.
Correct Answer: 35
Q6.
Sofia has 54 cm of ribbon. She cuts it into 10 equal pieces. What is the length of each piece? cm
Correct Answer: 5.4

Exit quiz

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6 Questions

Q1.
One tenth of 30 kg = kg
Correct Answer: 3
Q2.
One tenth of 6 ml = ml
Correct Answer: 0.6
Q3.
One tenth of 1.6 m = m
Correct Answer: 0.16
Q4.
Match the equation to its answer.
Correct Answer:600 × 0.1 =,60

60

Correct Answer:60 × 0.1 =,6

6

Correct Answer:6 × 0.1 = ,0.6

0.6

Correct Answer:0.6 × 0.1 =,0.06

0.06

Correct Answer:0.06 × 0.1 =,0.006

0.006

Q5.
The mass of an apple is 210 g. Lucas eats one-tenth of the apple. What is the mass of the apple he has eaten? g
Correct Answer: 21
Q6.
Lucas measures the length of a stick to be 18 cm. The length of a twig is one-tenth times this. What is the length of the twig in cm? cm
Correct Answer: 1.8