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Year 6 in England

5th grade decimals and percentages

21 5th grade decimals and percentages skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.

Mixed review

Ten questions drawn from every skill below.

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Decimals to thousandths

CCSS 5.NBT.A.3England: Y5 Fractions (including decimals)

Example

Write 654/1000 as a decimal.

  1. 654/1000 = 0.654

Answer: 0.654

Builds on: Compare and order decimals, Multiply and divide by 10, 100, 1000

Leads to: Round decimals, Value of a digit in decimals to thousandths, Convert decimals to fractions in simplest form

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Round decimals

CCSS 5.NBT.A.4England: Y5 Fractions (including decimals)England: Y6 Fractions (including decimals)

Example

Round 17.2 to 1 decimal place.

  1. The next digit is 0.
  2. 17.2

Answer: 17.2

Builds on: Decimals to thousandths, Round to the nearest 10 or 100

Leads to: Error intervals and bounds

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Add and subtract decimals

CCSS 5.NBT.B.7England: Y5 Fractions (including decimals)England: Y6 Fractions (including decimals)

Example

39.4 + 58.03 = ?

  1. 39.40 + 58.03 = 97.43

Answer: 97.43

Builds on: Tenths and hundredths as decimals, Column addition and subtraction

Leads to: Multiply decimals, Add and subtract decimals with different numbers of places, Subtract a decimal from a whole number, Add and subtract multi-digit decimals

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Multiply decimals

CCSS 5.NBT.B.7CCSS 6.NS.B.3England: Y6 Fractions (including decimals)

Example

9.6 × 7 = ?

  1. 96 × 7 = 672
  2. 9.6 × 7 = 67.2

Answer: 67.2

Builds on: Add and subtract decimals, Multiply by a one-digit number

Leads to: Divide decimals, Circumference of a circle, Place the decimal point in a product, Square and cube fractions and decimals

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Divide decimals

CCSS 5.NBT.B.7CCSS 6.NS.B.3England: Y6 Fractions (including decimals)

Example

19.8 ÷ 2 = ?

  1. 19.8 ÷ 2 = 9.9
  2. Check: 9.9 × 2 = 19.8

Answer: 9.9

Builds on: Multiply decimals, Divide by a one-digit number

Leads to: Fractions as decimals, Speed, density and other rates, Divide by a decimal, Work out unit prices

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Value of a digit in decimals to thousandths

CCSS 5.NBT.A.1CCSS 5.NBT.A.3.AEngland: Y6 Fractions (including decimals)

Example

What is the value of the digit 7 in 8.837?

  1. It is in the thousandths place.
  2. 0.007

Answer: 0.007

Builds on: Decimals to thousandths, Value of digits in tenths and hundredths

Leads to: Compare decimals to thousandths

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Compare decimals to thousandths

CCSS 5.NBT.A.3.BEngland: Y6 Fractions (including decimals)

Example

Choose the sign: 6.493 __ 5.593

  1. 6.493 > 5.593

Answer: >

Builds on: Compare and order decimals, Value of a digit in decimals to thousandths

Leads to: Order decimals with up to three decimal places

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Order decimals with up to three decimal places

CCSS 5.NBT.A.3.BEngland: Y6 Fractions (including decimals)

Example

Race times in seconds: Ethan 12.285, Liam 12.951, Noah 12.680. Who was fastest?

  1. Ethan

Answer: Ethan

Builds on: Compare decimals to thousandths

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Add and subtract decimals with different numbers of places

CCSS 5.NBT.B.7England: Y5 Fractions (including decimals)England: Y6 Fractions (including decimals)

Example

2.2 + 1.003 = ?

  1. 2.200 + 1.003 = 3.203

Answer: 3.203

Builds on: Add and subtract decimals

Leads to: Decimal addition and subtraction in real life, Multiply a decimal by a whole number

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Subtract a decimal from a whole number

CCSS 5.NBT.B.7England: Y5 Fractions (including decimals)

Example

2 − 1.42 = ?

  1. 2.00 − 1.42 = 0.58

Answer: 0.58

Builds on: Add and subtract decimals

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Decimal addition and subtraction in real life

CCSS 5.NBT.B.7England: Y6 Fractions (including decimals)

Example

Nia was 1.35 m tall last year and has grown 0.37 m. How tall is Nia now, in metres?

  1. 1.35 + 0.37 = 1.72

Answer: 1.72

Builds on: Add and subtract decimals with different numbers of places

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Multiply a decimal by a whole number

CCSS 5.NBT.B.7England: Y6 Fractions (including decimals)

Example

9.7 × 2 = ?

  1. 97 × 2 = 194
  2. 194 ÷ 10 = 19.4

Answer: 19.4

Builds on: Add and subtract decimals with different numbers of places, Multiply a three-digit number by a one-digit number

Leads to: Divide a decimal by a whole number, Decimal multiplication and division problems

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Place the decimal point in a product

CCSS 5.NBT.B.7England: Y6 Fractions (including decimals)

Example

27 × 74 = 1998. Use this to find 0.27 × 74.

  1. 2 decimal places in total
  2. 0.27 × 74 = 19.98

Answer: 19.98

Builds on: Multiply decimals

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Divide a decimal by a whole number

CCSS 5.NBT.B.7England: Y6 Multiplication and division

Example

12.8 ÷ 4 = ?

  1. 128 ÷ 4 = 32
  2. 12.8 ÷ 4 = 3.2

Answer: 3.2

Builds on: Multiply a decimal by a whole number, Divide a three-digit number by a one-digit number

Leads to: Decimal multiplication and division problems, Compare prices to find the better buy

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Decimal multiplication and division problems

CCSS 5.NBT.B.7England: Y6 Fractions (including decimals)

Example

Apples cost $4 per kilogram. How much do 0.4 kg cost?

  1. 0.4 × 4 = 1.6
  2. $1.60

Answer: 1.6

Builds on: Multiply a decimal by a whole number, Divide a decimal by a whole number

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Convert fractions to decimals

CCSS 4.NF.C.6England: Y6 Fractions (including decimals)

Example

Write 18/20 as a decimal.

  1. 18/20 = 90/100
  2. 0.9

Answer: 0.9

Builds on: Know decimal equivalents of 1/2, 1/4, 3/4 and tenths, Find the missing number in equivalent fractions

Leads to: Match fractions, decimals and percentages

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Convert decimals to fractions in simplest form

CCSS 4.NF.C.6England: Y6 Fractions (including decimals)

Example

Write 0.7 as a fraction in its simplest form.

  1. 0.7 = 7/10
  2. 7/10

Answer: 7/10

Builds on: Decimals to thousandths, Write a fraction in its simplest form

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Understand per cent as 'out of 100'

CCSS 6.RP.A.3.CEngland: Y5 Fractions (including decimals and percentages)

Example

93 of the 100 squares are shaded. What percentage is shaded?

  1. 93/100 = 93%
  2. 93

Answer: 93

Builds on: Read hundredths from a hundred square

Leads to: Match fractions, decimals and percentages

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Match fractions, decimals and percentages

CCSS 6.RP.A.3.CEngland: Y5 Fractions (including decimals and percentages)England: Y6 Ratio and proportion

Example

Write 4/5 as a percentage.

  1. 4/5 = 80/100 = 80%
  2. 80

Answer: 80

Builds on: Understand per cent as 'out of 100', Convert fractions to decimals

Leads to: Find 50%, 25%, 10% and 5% of an amount, Compare and order fractions, decimals and percentages

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Find 50%, 25%, 10% and 5% of an amount

CCSS 6.RP.A.3.CEngland: Y6 Ratio and proportion

Example

What is 25% of 760?

  1. 760 ÷ 4 = 190

Answer: 190

Builds on: Match fractions, decimals and percentages, Fractions of an amount

Leads to: Interpret simple pie charts

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Compare and order fractions, decimals and percentages

CCSS 6.RP.A.3.CEngland: Y6 Ratio and proportionEngland: Y6 Fractions (including decimals and percentages)

Example

Nia scored 3/5 on a quiz. Chloe scored 45%. Who did better?

  1. 3/5 = 60%
  2. Nia

Answer: Nia

Builds on: Match fractions, decimals and percentages

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5th grade Decimals and percentages: Practice and Worksheets