KS2 Maths textbook

Year 6 Decimals: lesson and practice

  • Strand Fractions and decimals
  • Level Year 6
  • Practice 100 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 6. Content: Identify the value of each digit in numbers given to three decimal places, Multiply and divide numbers by 10, 100 and 1000, giving answers up to three decimal places, Multiply one-digit numbers with up to two decimal places by whole numbers, Use written division methods in cases where the answer has up to two decimal places, Solve problems which require answers to be rounded to specified degrees of accuracy.

Open Year 6 chapter

By the end of this chapter you will be able to

  • Say the value of each digit in a number with up to three decimal places, using place value
  • Multiply and divide decimals by 10, 100 and 1000, and give the answer to three decimal places
  • Multiply a decimal with up to two decimal places by a whole number, using the column method
  • Divide by a whole number with long division, and give the answer to two decimal places
  • Round a number to a given degree of accuracy, and decide whether to round up or down in a problem
  • Explain your reasoning about decimals, and spot the mistakes in other people’s working

You should already know

  • Tenths and hundredths as decimals and fractions (Year 5, Chapter 7)
  • Multiplying and dividing whole numbers by 10, 100 and 1000 (Year 5, Chapters 4 and 5)
  • Short and long multiplication and division of whole numbers (Year 6, Chapter 2)

Where this leads

  • Percentages as decimals and fractions, such as 15% of 360 (Chapter 6)
  • Ratio and proportion with decimal amounts (Chapter 7)
  • Measures and conversions between units with decimals (Chapter 9)

Lessons in this chapter

  1. 5.1 Place value to three decimal places
  2. 5.2 Multiplying and dividing by 10, 100 and 1000
  3. 5.3 Multiplying decimals by whole numbers
  4. 5.4 Written division with answers to two decimal places
  5. 5.5 Rounding to a degree of accuracy
  6. 5.6 Solving problems with decimals
  7. Summary and key words
  8. Check-up and SATs-style questions

Read the whole chapter on one page (good for printing).

Practise with real exam questions

The DfE publishes every past KS2 test, with mark schemes, for free.

KS2 Maths past papers