New
New
Year 5

# The relationship between multiplying by 0.01 and dividing by 100

I can explain the relationship between multiplying by 0.01 and dividing by 100

New
New
Year 5

# The relationship between multiplying by 0.01 and dividing by 100

I can explain the relationship between multiplying by 0.01 and dividing by 100

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## Lesson details

### Key learning points

1. 0.01 can be represented as the fraction 1/100
2. Multiplying by 0.01 is the same as multiplying by 1/100
3. Multiplying by 1/100 is the same as dividing by 100
4. Multiplying by 0.01 is the same as dividing by 100

### Common misconception

Children may struggle to make the connection between multiplying by 0.01 and dividing by 100

When we multiply by 0.01, it is the same as multiplying by one-hundredth. When we multiply by a unit fraction, we can divide by the denominator - in this case, 100

### Keywords

• Hundredth - A hundredth is one part in 100 equal parts.

Real-life exposure to the relationship between one-hundredth and its whole - showing the children that 100 equal parts are needed to make the whole. Children should be secure with multiplying and dividing by 100 to avoid cognitive overload.
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.
There are centimetres in one metre.
Q2.
Match the expression to its answer.
Correct Answer:3 × 100,300

300

Correct Answer:2.1 × 100 ,210

210

Correct Answer:4 × 100,400

400

Correct Answer:21 × 100,2,100

2,100

Correct Answer:37 × 100,3,700

3,700

Correct Answer:3.7 × 100,370

370

Q3.
Match the expression to its answer.
Correct Answer:100 ÷ 100 ,1

1

Correct Answer:300 ÷ 100 ,3

3

Correct Answer:3,000 ÷ 100 ,30

30

Correct Answer:900 ÷ 100 ,9

9

Correct Answer:9,000 ÷ 100 ,90

90

Correct Answer:4,700 ÷ 100 ,47

47

Q4.
If 13,570 is divided by 100, which digit would be in the ones place after the division?
1
3
7
0
Q5.
Lucas has 6,500 marbles. He packs them equally into 100 bags. How many marbles are in each bag? marbles.
Q6.
Sofia has 2,300 cm of ribbon. She cuts it into 100 equal pieces. What is the length of each piece? cm

## Exit quiz

### 6 Questions

Q1.
One hundredth of 800 kg = kg
Q2.
One hundredth of 340 ml = ml
Q3.
One hundredth of 32 m = m
Q4.
Match the equation to its answer.
Correct Answer:90,000 x 0.01 =,900

900

Correct Answer:9,000 × 0.01 =,90

90

Correct Answer:900 × 0.01 =,9

9

Correct Answer:90 × 0.01 =,0.9

0.9

Correct Answer:9 × 0.01 =,0.09

0.09

Q5.
Lucas measures the length of a stick to be 43 cm. What is the length of the stick in metres? m