New
New
Year 5

Multiply 1-digit numbers by decimal fractions using written methods

I can explain how to multiply 1-digit numbers by decimal fractions using written methods.

New
New
Year 5

Multiply 1-digit numbers by decimal fractions using written methods

I can explain how to multiply 1-digit numbers by decimal fractions using written methods.

Lesson details

Key learning points

  1. Use scaling to convert the decimal fraction to a whole number then multiply; use scaling to adjust the product.
  2. If using short multiplication with decimal fractions, align the decimal point in the decimal fraction and product.

Keywords

  • Estimation - When we estimate, we find a value that is close enough to the right answer, usually with some thought or calculation involved.

  • Scaling - Scaling is when a given quantity is made ___ times the size. It can be used to adjust the size of a factor. In this lesson, scaling will involve making values 10 or 100 times the size.

Common misconception

The short multiplication algorithm may not be correctly aligned.

Check that the decimal point aligns in the decimal fraction and the product. Scaffolding with place value columns may support further.

Provide additional scaffolds for those children who are not confident with their times tables. Revisit the short multiplication algorithm prior to the lesson with whole numbers to support children to make connections.
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.
Match the equation to its answer.
Correct Answer:1.3 × 10 =,13

13

Correct Answer:12.9 × 10 =,129

129

Correct Answer:1.39 × 100 =,139

139

Correct Answer:1.19 × 100 =,119

119

Correct Answer:1.35 × 100 =,135

135

Q2.
Match the equation to its answer.
Correct Answer:13 ÷ 10 =,1.3

1.3

Correct Answer:103 ÷ 10 =,10.3

10.3

Correct Answer:103 ÷ 100 =,1.03

1.03

Correct Answer:1,003 ÷ 100 =,10.03

10.03

Correct Answer:1,030 ÷ 10 =,103

103

Q3.
Round 9.8 to the nearest whole number.
An image in a quiz
8
9
Correct answer: 10
Q4.
Calculate this using short multiplication 48 × 7 =
Correct Answer: 336
Q5.
Calculate this using short multiplication 126 × 5 =
Correct Answer: 630
Q6.
Sofia has £93. Lucas has four times this amount. How much money does Lucas have? £
Correct Answer: 372, £372, 372.00

6 Questions

Q1.
Calculate 4.3 × 5 = Use scaling to convert 4.3 into a whole number.
Correct Answer: 21.5
Q2.
Which of these would be the most sensible estimate to check if this calculation is correct? 5.14 × 3 = 15.42
5.1 × 3
5.2 × 3
Correct answer: 5 × 3
6 × 3
Q3.
Calculate 41.8 × 3 =
Correct Answer: 125.4
Q4.
Calculate 3.27 × 5 =
Correct Answer: 16.35
Q5.
Lucas has 1.9 litres of water. Sofia has three times this amount. How much water does Sofia have? litres
Correct Answer: 5.7, 5.7 litres, 5.7 l
Q6.
Sofia has 2.46 kg of flour. Lucas has three times this amount. How much flour does Lucas have? kg
Correct Answer: 7.38 , 7.38 kg