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      Compare and order decimal numbers with tenths

      Lesson details

      Learning outcome

      I can compare and order decimal numbers with tenths.

      Key learning points

      1. To compare two numbers, you compare digits with the same place value, starting with the largest place-value digit.
      2. If the whole numbers are the same, look at the value of the tenths digit to compare and order.

      Keywords

      • Compare - When you compare, you look for similarities and differences in an object or value.

      • Order - You can order numbers by putting them in a place based on a set rule.

      • Place value - The value of a digit in a number based on where it is placed is known as place value.

      • Ascending - Ascending order is when items are arranged from smallest to largest.

      • Descending - Descending order is when items are arranged from largest to smallest.

      Common misconception

      Pupils think that because a representation has more images/items then it is a larger number.

      Encourage pupils to consider the value of each image/item and say this verbally as ___ wholes and ___ tenths.

      Teacher tip

      Allow pupils to notice that when all of the whole number digits are the same, they don't need to compare one column at a time. They can just go straight to the tenths to compare.

      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 description of the number does not match the picture?

      An image in a quiz
      0.9
      nine tenths
      Correct answer: nine tens

      Q2.
      Match the symbols to their meaning.

      Correct Answer:<,less than

      less than

      Correct Answer:=,equal to

      equal to

      Correct Answer:>,greater than

      greater than

      Q3.
      Look at the number line. Tick the missing numbers.

      An image in a quiz
      5.4
      Correct answer: 4.5
      Correct answer: 5
      0.5

      Q4.
      What number is the arrow pointing to? Give your answer as a decimal number.

      An image in a quiz
      Correct Answer: 0.9, zero point nine, nought point nine, nine tenths

      Q5.
      Write the following number as a decimal number.

      An image in a quiz
      Correct Answer: 4.3, four point three, for point three

      Q6.
      The image shows four mixed numbers labelled A to D. Match the decimal numbers to the mixed numbers.

      An image in a quiz
      Correct Answer:1.7,A

      A

      Correct Answer:7.1,B

      B

      Correct Answer:2.3,C

      C

      Correct Answer:3.2,D

      D

      6 Questions

      Q1.
      Write down the symbol that shows greater than.

      Correct Answer: >

      Q2.
      Which symbol shows less than?

      Correct answer: <
      =
      >

      Q3.
      Select the three numbers that would make the statement correct.

      An image in a quiz
      Correct answer: 5
      3.5
      Correct answer: 4.3
      2.4
      Correct answer: 40.1

      Q4.
      Order the numbers in ascending order.

      1 - 3.6
      2 - 5.4
      3 - 5.7
      4 - 7.5
      5 - 7.7

      Q5.
      Order these numbers is descending order.

      1 - 354.2
      2 - 345.2
      3 - 325.4
      4 - 324.5

      Q6.
      Select the three numbers that could make this statement correct. 3.2 < __________ < 4.2

      3.2
      Correct answer: 3.6
      4.3
      Correct answer: 4
      Correct answer: 4.1

      To help you plan your 5 maths lesson on: Compare and order decimal numbers with tenths, download all teaching resources for free and adapt to suit your pupils' needs...