Divide decimal fractions by 1-digit numbers | Maths | Quizalize & Oak National Academy

Starter quiz

______ is one-tenth times the size of 135
- '13.5' ✓
______ is one-hundredth times the size of 32.5
- 3,250
- 325
- 32.5
- 3.25
- 0.325 ✓
Match the equation to the answer.
- 15 ÷ 5 =
  
  ⇔
  
  3 ✓
- 15 ÷ 3 =
  
  ⇔
  
  5 ✓
- 15 ÷ 15 =
  
  ⇔
  
  1 ✓
- 15 ÷ 1 =
  
  ⇔
  
  15 ✓
- 150 ÷ 5 =
  
  ⇔
  
  30 ✓
- 150 ÷ 3 =
  
  ⇔
  
  50 ✓
Match the equivalent expressions.
- 85 × 0.1
  
  ⇔
  
  85 ÷ 10 ✓
- 85 × 0.01
  
  ⇔
  
  85 ÷ 100 ✓
- 85 × 1
  
  ⇔
  
  85 ÷ 1 ✓
- 85 × 0.1
  
  ⇔
  
  8.5 ÷ 10 ✓
- 85 × 0.01
  
  ⇔
  
  8.5 ÷ 100 ✓
Use unitising and known facts to match the equation to its product.
- 0.03 × 8 =
  
  ⇔
  
  0.24 ✓
- 0.07 × 7 =
  
  ⇔
  
  0.49 ✓
- 0.4 × 5
  
  ⇔
  
  2 ✓
- 4 × 0.7
  
  ⇔
  
  2.8 ✓
- 3 × 0.09
  
  ⇔
  
  0.27 ✓
Sofia has a 64 cm length of ribbon. She cuts it into four equal lengths. What is the length of each piece? ______ cm
- '16' ✓

Exit quiz

Calculate 4.2 ÷ 6 = ______
- '0.7' ✓
Match the equation to the answer.
- 1.5 ÷ 3 =
  
  ⇔
  
  0.5 ✓
- 1.8 ÷ 3 =
  
  ⇔
  
  0.6 ✓
- 3.5 ÷ 5 =
  
  ⇔
  
  0.7 ✓
- 2.1 ÷ 7 =
  
  ⇔
  
  0.3 ✓
Match the equation to the answer.
- 0.64 ÷ 8 =
  
  ⇔
  
  0.08 ✓
- 0.18 ÷ 1 =
  
  ⇔
  
  0.18 ✓
- 0.56 ÷ 8 =
  
  ⇔
  
  0.07 ✓
- 0.48 ÷ 4 =
  
  ⇔
  
  0.12 ✓
Calculate 0.3 ÷ 5 = ______
- 60
- 6
- 0.6
- 0.06 ✓
- 0.006
Lucas bought a bag of bananas that has a mass of 0.48 kg. There were four bananas of identical mass in the bag. What is the mass of one banana? ______ kg
- '0.12' ✓
Sofia has a jug with a capacity of 2.4 L. Lucas’ jug has a capacity one-third times this capacity. What is the capacity of Lucas’ jug? ______ L
- '0.8' ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

When we divide decimal fractions by 1-digit numbers, make the decimal into a whole number by multiplying by 10 or 100
Then use unitising and known facts to divide.
The answer can then be adjusted by division.

Common misconception

Children may scale the decimal fraction inaccurately or may forget to scale the answer accordingly to solve the original equation.

If a decimal fraction has only tenths, we multiply by 10 to form a whole number. If the decimal fraction has hundredths, we multiply by 100 to form a whole number. Remember to adjust the answer to solve the original equation.

Keywords

Unitising - Treating groups that contain the same number of things as ‘ones’ or ‘units’. It is important particularly in handling money and in understanding place value and supports us to think multiplicatively.
Integer - An integer is a whole number with no fractional part e.g. 0, 1, 14, 103 Decimal numbers such as 3.4 are not integers.