Year 5 Decimals

Extend to three decimal places; multiply and divide by 10/100/1,000; round to two decimal places.

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Worked examples

RookieRead and interpret directly.

In the number 9.7, what is the value of the digit 7?

  • 7 hundredths
  • 7 tenths
  • 7 tens
  • 7 ones

Answer: 7 tenths. The digit 7 sits in the first place after the decimal point, the tenths column, so its value is 7 tenths (0.7).

ProCompare and infer.

A measurement is 4.5 litres. How many ml is that? (1 litre = 1000 ml)

  • 4.5 ml
  • 4500 ml
  • 450 ml
  • 45000 ml

Answer: 4500 ml. Use 1 litre = 1000 ml: multiply 4.5 by 1000. 4.5 litres = 4500 ml.

GuruMulti-step reasoning.

The cost of 5 identical pencils and a rubber together is £1.40. The rubber costs £0.40. What does one pencil cost?

  • £0.25
  • £0.20
  • £0.40
  • £0.28

Answer: £0.20. 5 pencils cost £1.40 − £0.40 = £1.00. One pencil: £1.00 ÷ 5 = £0.20.

Skills in this topic

Frequently asked questions

What is covered in Year 5 Decimals?
Extend to three decimal places; multiply and divide by 10/100/1,000; round to two decimal places. Key skills include Multiplying Decimals, Dividing Decimals, Rounding Decimals.

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