New
New
Year 5

Divide decimal fractions by 1-digit numbers

I can use multiplying by 10 or 100 to divide decimal fractions by 1-digit numbers mentally.

New
New
Year 5

Divide decimal fractions by 1-digit numbers

I can use multiplying by 10 or 100 to divide decimal fractions by 1-digit numbers mentally.

Lesson details

Key learning points

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

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.

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.

Provide support to children who are not secure with their times tables. Ensure children are confident with multiplying and dividing by 10 and 100 prior to this lesson. Stick to mental methods of calculation and use of known facts.
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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6 Questions

Q1.
is one-tenth times the size of 135
Correct Answer: 13.5
Q2.
is one-hundredth times the size of 32.5
3,250
325
32.5
3.25
Correct answer: 0.325
Q3.
Match the equation to the answer.
Correct Answer:15 ÷ 5 =,3

3

Correct Answer:15 ÷ 3 =,5

5

Correct Answer:15 ÷ 15 =,1

1

Correct Answer:15 ÷ 1 =,15

15

Correct Answer:150 ÷ 5 =,30

30

Correct Answer:150 ÷ 3 =,50

50

Q4.
Match the equivalent expressions.
Correct Answer:85 × 0.1,85 ÷ 10

85 ÷ 10

Correct Answer:85 × 0.01,85 ÷ 100

85 ÷ 100

Correct Answer:85 × 1,85 ÷ 1

85 ÷ 1

Correct Answer:85 × 0.1,8.5 ÷ 10

8.5 ÷ 10

Correct Answer:85 × 0.01,8.5 ÷ 100

8.5 ÷ 100

Q5.
Use unitising and known facts to match the equation to its product.
Correct Answer:0.03 × 8 =,0.24

0.24

Correct Answer:0.07 × 7 =,0.49

0.49

Correct Answer:0.4 × 5,2

2

Correct Answer:4 × 0.7,2.8

2.8

Correct Answer:3 × 0.09,0.27

0.27

Q6.
Sofia has a 64 cm length of ribbon. She cuts it into four equal lengths. What is the length of each piece? cm
Correct Answer: 16, 16 cm

6 Questions

Q1.
Calculate 4.2 ÷ 6 =
Correct Answer: 0.7
Q2.
Match the equation to the answer.
Correct Answer:1.5 ÷ 3 =,0.5

0.5

Correct Answer:1.8 ÷ 3 =,0.6

0.6

Correct Answer:3.5 ÷ 5 =,0.7

0.7

Correct Answer:2.1 ÷ 7 =,0.3

0.3

Q3.
Match the equation to the answer.
Correct Answer:0.64 ÷ 8 =,0.08

0.08

Correct Answer:0.18 ÷ 1 =,0.18

0.18

Correct Answer:0.56 ÷ 8 =,0.07

0.07

Correct Answer:0.48 ÷ 4 = ,0.12

0.12

Q4.
Calculate 0.3 ÷ 5 =
60
6
0.6
Correct answer: 0.06
0.006
Q5.
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
Correct Answer: 0.12, 0.12 kg
Q6.
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
Correct Answer: 0.8, 0.8 L