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Year 5

Use knowledge of common equivalents to compare fractions and decimals

I can use knowledge of common equivalents to compare fractions and decimals.

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Year 5

Use knowledge of common equivalents to compare fractions and decimals

I can use knowledge of common equivalents to compare fractions and decimals.

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Lesson details

Key learning points

  1. 0.1 is equal to 1/10
  2. 0.2 is equal to 1/5
  3. 0.25 is equal to 1/4
  4. 0.5 is equal to 1/2
  5. 0.75 is equal to 3/4

Keywords

  • Equivalent - Numbers are equivalent if they have exactly the same value.

  • Tenth - When one whole is divided into 10 equal parts, each part is one tenth. This can be expressed as a fraction or as a decimal.

  • Hundredth - When one whole is divided into 100 equal parts, each part is one hundredth. This can be expressed as a fraction or as a decimal.

Common misconception

The numbers in a decimal can be rewritten as a fraction so one-fifth becomes 1.5 as a decimal and that fractions and decimals do not represent equivalent values.

Read decimals as a number of tenths and hundredths to make the link to fractions.

Give pupils time to rehearse the fraction-decimal equivalences that are useful to have as known facts. Make the link to equivalent fractions and fractions in their simplest form when using tenths and hundredths to convert fractions into decimals.
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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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Starter quiz

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6 Questions

Q1.
What is 100 divided into four equal parts? Each part is equal to
Correct Answer: 25, twenty five
Q2.
What is 1,000 divided into five equal parts? Each part is equal to
Correct Answer: 200
Q3.
What is 10 divided into five equal parts? Each part is equal to
Correct Answer: 2, two
Q4.
10 divided into five equal parts is the same as saying ___
Five times ten
Correct answer: One fifth of 10
Correct answer: 10 divided by 5
One fifth divided by 10
Correct answer: One fifth multiplied by 10
Q5.
Which equation would you use to calculate 1,000 divided into four equal parts?
$${1}\over{4}$$ ÷ 1,000
Correct answer: $${1}\over{4}$$ × 1,000
$${1}\over{5}$$ ÷ 1,000
$${1}\over{5}$$ × 1,000
Q6.
Match the statements to the equations they represent.
Correct Answer:$${1}\over{5}$$ × 10,One fifth of 10
tick

One fifth of 10

Correct Answer:$${1}\over{4}$$ × 10,One quarter of 10
tick

One quarter of 10

Correct Answer:$${1}\over{2}$$ × 10,One half of 10
tick

One half of 10

Correct Answer:$${1}\over{10}$$ × 10,One tenth of 10
tick

One tenth of 10

Exit quiz

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6 Questions

Q1.
How could you write this decimal as a fraction? The decimal is 0.04
$${1}\over{10}$$
$${1}\over{100}$$
$${2}\over{100}$$
Correct answer: $${4}\over{100}$$
Correct answer: $${2}\over{50}$$
Q2.
How could you write this decimal as a fraction? The decimal is 0.75
Correct answer: $${75}\over{100}$$
$${7}\over{10}$$
Correct answer: $${3}\over{4}$$
$${5}\over{100}$$
Q3.
Match the fraction with the equivalent decimal.
Correct Answer:$${3} \over {100}$$,0.03
tick

0.03

Correct Answer:$${3} \over {4}$$,0.75
tick

0.75

Correct Answer:$${3} \over {5}$$,0.6
tick

0.6

Correct Answer:$${3} \over {10}$$,0.3
tick

0.3

Q4.
Why is $${1}\over{3}$$ more difficult to convert to a decimal?
Correct answer: It is because 3 is not a factor of 10 or 100
It is because 3 is a prime number.
Q5.
Which pair of fractions and decimals is equivalent?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q6.
Which symbol would go between this fraction and decimal?
An image in a quiz
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=
Correct answer: >

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