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      Rounding to any number of decimal places

      Lesson details

      Learning outcome

      I can round numbers to any number of decimal places.

      Key learning points

      1. Numbers with any number of decimal places can be represented on a number line.
      2. Any number can be rounded to a given number of decimal places.
      3. It is possible to identify the most suitable number of decimal places from the context.
      4. It can be useful to think about what the biggest and smallest values of a number rounded in context were.

      Keywords

      • Round - To change a number into another number that is approximately the same value but is easier to work with. E.g. round 561 to the nearest 10 is 560.

      Common misconception

      Pupils think that repeated rounding gives the correct answer.

      Use a number line to support pupils’ understanding. Locate the number to be rounded on the line and identify the critical values.

      Teacher tip

      Pupils could measure the classroom and other areas and work out the cost of carpeting them. They could research the cost of different floor coverings and look that how much the price per metre affects the overall cost.

      Licence

      This content is © Oak National Academy Limited (2025), 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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      Prior knowledge starter quiz

      6 Questions

      Q1.
      1.643 is 1.6 to one decimal .

      Correct Answer: place, places

      Q2.
      The midpoint of 6.1 and 6.2 is .

      Correct Answer: 6.15

      Q3.
      The midpoint of 6.104 and 6.105 is .

      Correct Answer: 6.1045

      Q4.
      Round 104.5684 to 3 decimal places.

      Correct Answer: 104.568

      Q5.
      Round 0.0569 to three decimal places.

      Correct Answer: 0.057

      Q6.
      Round 203.0995 to three decimal places.

      Correct Answer: 203.100

      6 Questions

      Q1.
      If a degree of accuracy is not stated in a question that you are answering, you should use the degree of accuracy as the values in the question.

      Correct Answer: same, identical

      Q2.
      Round 5.072 to two decimal places.

      Correct Answer: 5.07

      Q3.
      Round 34.072 to one decimal place.

      Correct Answer: 34.1

      Q4.
      Round 135.98 to one decimal place.

      Correct Answer: 136.0

      Q5.
      Calculate the cost of carpeting this area.

      An image in a quiz
      Correct Answer: £69.72, 69.72

      Q6.
      3 friends go out for lunch and spend £28. They pay the same amount each. What is the smallest amount they each pay to cover the cost of the bill?

      Correct Answer: £9.34, 9.34

      To help you plan your 8 maths lesson on: Rounding to any number of decimal places, download all teaching resources for free and adapt to suit your pupils' needs...