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      Use representations to round a decimal number with tenths to the nearest whole number

      Lesson details

      Learning outcome

      I can use representations to round a decimal number with tenths to the nearest whole number.

      Key learning points

      1. Identify the next and previous whole numbers to the number being rounded.
      2. Identify which whole number is nearest to the number being rounded.
      3. If the value of the tenths is 5 or greater then round to the next whole number.
      4. If the value of the tenths is less than 5, round to the previous whole number.

      Keywords

      • Multiple - A multiple is the result of multiplying a number by an integer. For example 2 × 5 = 10 so 10 is a multiple of 2 and 5.

      • Next - Something that comes after something else.

      • Previous - Something that comes before something else.

      • Rounding - Rounding means making a number simpler but keeping its value close to what it was.

      Common misconception

      Pupils say the previous multiple of one as a whole before e.g. previous multiple of 3.4 as 2 or 2.4

      Place the number on a number line and clarify the whole numbers it sits between.

      Teacher tip

      Be sure to encourage pupils to reason about the position of each number and how far away it is from either multiple of one or the midpoint. Support pupils to learn the generalisation by heart once they have noticed it for themselves.

      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.
      Which descriptions represent this image?

      An image in a quiz
      Correct answer: 3 ones and 2 tenths
      Correct answer: 32 tenths
      Correct answer: 3.2
      30.2

      Q2.
      Represent the following picture as a decimal number.

      An image in a quiz
      Correct Answer: 2.5

      Q3.
      Tick the numbers that are multiples of 10.

      23
      Correct answer: 30
      Correct answer: 70
      84
      Correct answer: 100

      Q4.
      Tick the missing numbers from the number line.

      An image in a quiz
      7.0
      Correct answer: 7.1
      Correct answer: 7.5
      7.10
      Correct answer: 8

      Q5.
      Order the numbers in ascending order.

      1 - 0.9
      2 - 1.2
      3 - 5.3
      4 - 5.8
      5 - 9.5
      6 - 10.3

      Q6.
      Tick the numbers that round to 100 as the nearest multiple of 10.

      90
      Correct answer: 98
      107
      Correct answer: 102
      Correct answer: 95

      6 Questions

      Q1.
      Which of these are not multiples of one?

      1
      3.0
      Correct answer: 4.2
      Correct answer: 7.9
      10

      Q2.
      Look at the number line. Which two multiples of 1 is a between?

      An image in a quiz
      6 and 7
      Correct answer: 7 and 8
      5 and 6
      8 and 9

      Q3.
      5 is the previous multiple of 1 and 6 is the next multiple of 1. Which letter on the number line could this statement refer to?

      An image in a quiz
      a
      b
      Correct answer: c
      d

      Q4.
      7.1 is the number. Tick the pair of numbers that are the previous and next multiples of one.

      Correct answer: 7 and 8
      6 and 8
      8 and 9
      7 and 7.2

      Q5.
      What is 8.5 rounded to the nearest multiple of one?

      Correct Answer: 9, nine

      Q6.
      What is 17.2 rounded to the nearest multiple of one?

      Correct Answer: 17

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