The relationship between multiplying by 0.01 and dividing by 100 | Maths

Starter quiz

There are ______ centimetres in one metre.
- '100' ✓
Match the expression to its answer.
- 3 × 100
  
  ⇔
  
  300 ✓
- 2.1 × 100
  
  ⇔
  
  210 ✓
- 4 × 100
  
  ⇔
  
  400 ✓
- 21 × 100
  
  ⇔
  
  2,100 ✓
- 37 × 100
  
  ⇔
  
  3,700 ✓
- 3.7 × 100
  
  ⇔
  
  370 ✓
Match the expression to its answer.
- 100 ÷ 100
  
  ⇔
  
  1 ✓
- 300 ÷ 100
  
  ⇔
  
  3 ✓
- 3,000 ÷ 100
  
  ⇔
  
  30 ✓
- 900 ÷ 100
  
  ⇔
  
  9 ✓
- 9,000 ÷ 100
  
  ⇔
  
  90 ✓
- 4,700 ÷ 100
  
  ⇔
  
  47 ✓
If 13,570 is divided by 100, which digit would be in the ones place after the division?
- 1
- 3
- 5 ✓
- 7
- 0
Lucas has 6,500 marbles. He packs them equally into 100 bags. How many marbles are in each bag? ______ marbles.
- '65' ✓
Sofia has 2,300 cm of ribbon. She cuts it into 100 equal pieces. What is the length of each piece? ______ cm
- '23' ✓

Exit quiz

One hundredth of 800 kg = ______ kg
- '8' ✓
One hundredth of 340 ml = ______ ml
- '3.4' ✓
One hundredth of 32 m = ______ m
- '0.32' ✓
Match the equation to its answer.
- 90,000 x 0.01 =
  
  ⇔
  
  900 ✓
- 9,000 × 0.01 =
  
  ⇔
  
  90 ✓
- 900 × 0.01 =
  
  ⇔
  
  9 ✓
- 90 × 0.01 =
  
  ⇔
  
  0.9 ✓
- 9 × 0.01 =
  
  ⇔
  
  0.09 ✓
Lucas measures the length of a stick to be 43 cm. What is the length of the stick in metres? ______ m
- '0.43' ✓
The mass of a large box is 12 kg. The mass of a smaller box is one-hundredth times the mass. What is the mass of the smaller box? Give your answer in kg. ______ kg
- '0.12' ✓

Worksheet

Loading worksheet ...

Presentation

Loading presentation ...

Lesson Details

Key learning points

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