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      Compare and order numbers with up to 3 decimal places

      Lesson details

      Learning outcome

      I can use understanding of place value to compare and order numbers with up to 3 decimal places

      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 whole numbers. tenths and hundredths are the same, look at the value of the thousandths digit to compare and order

      Keywords

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

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

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

      Common misconception

      Pupils mistake numbers with more digits after the decimal point to be the larger number.

      Provide opportunities for pupils to build numbers with base 10 blocks, enabling them to see the magnitude of the numbers they compare.

      Teacher tip

      Use the stem sentence 'I say ___ point ___ ___ ___ but I think ___ wholes and ___ tenths/hundredths/thousandths to help pupils readily convert between each value to compare more easily.

      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.
      Order these place values from largest to smallest.

      1 - Ones
      2 - tenths
      3 - hundredths
      4 - thousandths

      Q2.
      What is the value of the 7 in 32.573?

      7 tens
      7 tenths
      7 hundreds
      Correct answer: 7 hundredths
      7 thousandths

      Q3.
      Match the symbol to its correct definition.

      Correct Answer:<,less than

      less than

      Correct Answer:>,greater than

      greater than

      Correct Answer:=,equal to

      equal to

      Q4.
      How many tenths are there altogether in 8.7?

      Correct Answer: 87

      Q5.
      What is the total value of the counters?

      An image in a quiz
      Correct Answer: 4.252

      Q6.
      4.375 is composed of how many thousandths?

      5
      75
      375
      Correct answer: 4375

      6 Questions

      Q1.
      3.756 is composed of 3 ones and how many additional thousandths?

      Correct Answer: 756

      Q2.
      Match the keywords with the correct definitions.

      Correct Answer:Compare ,When you look for similarities and differences in an object

      When you look for similarities and differences in an object

      Correct Answer:Place value ,The value of a digit in a number based on where it is placed

      The value of a digit in a number based on where it is placed

      Correct Answer:Order ,Putting numbers in a place based on a set rule.

      Putting numbers in a place based on a set rule.

      Q3.
      Select all the statements that are true.

      Correct answer: 3.784 > 2.483
      2.483 > 3.784
      3.784 < 2.483
      Correct answer: 2.483 < 3.784

      Q4.
      Write the missing symbol to compare these numbers: 4.376 5.2

      Correct Answer: <

      Q5.
      Order the following lengths from largest to smallest:

      1 - 3.1 m
      2 - 1.3 m
      3 - 1.003 m
      4 - 0.98 m

      Q6.
      Which of the following pairs of number sentences could be completed by using the > inequality symbol?

      4.5 _ 5.4
      Correct answer: 7.06 _ 7.05
      8.006 _ 9
      Correct answer: 3.76 _ 3.67

      To help you plan your 5 maths lesson on: Compare and order numbers with up to 3 decimal places, download all teaching resources for free and adapt to suit your pupils' needs...