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      Deepening understanding of place value in integers

      Lesson details

      Learning outcome

      I can state the value of any digit in any given integer in any given form.

      Key learning points

      1. An integer can be read aloud in different ways.
      2. Context may affect how an integer is read aloud.
      3. An integer can be written using its digits when described in different ways.

      Keywords

      • Digit - A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

      • Integer - An integer is any positive or negative whole number or zero. E.g. -2, 0, 153 are all examples of integers.

      Common misconception

      40 thousands placing the 4 in the thousands column.

      As there are 40 thousands the 4 is in the ten thousands column.

      Teacher tip

      Providing place value charts is invaluable for this lesson. Either with digit cards to place, wipe clean or a number of charts provided for pupils use. This will save time and misplaced pupil effort.

      Licence

      This content is © Oak National Academy Limited (2026), 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.
      What is the missing place value heading?

      An image in a quiz
      Correct Answer: HTh, Hundred thousands, hundred thousands

      Q2.
      Which of these integers are written with correct spacing?

      Correct answer: 7482
      5 690
      38723
      Correct answer: 7 523 085
      45 0289

      Q3.
      Using the digit cards, make the largest 6-digit integer possible

      An image in a quiz
      Correct Answer: 764 210

      Q4.
      What is the value of the digit 2 in 324 000?

      Correct Answer: 20 000, twenty thousand, 20 thousand

      Q5.
      Starting with the smallest, sort these integers into ascending order.

      1 - 32 194
      2 - 32 491
      3 - 32 914
      4 - 33 278
      5 - 33 782

      Q6.
      Which statements are true for the integer 3707?

      Correct answer: The smallest integer can be made by swapping the 100s and 10s digits
      The value of the integer stays the same if the 1000s and 10s digits are swapped
      Correct answer: The value of the integer stays the same if the 100s and 1s digits are swapped
      The largest integer can be made by swapping the 1000s and 1s digits

      6 Questions

      Q1.
      How many metres are in a 50k race?

      Correct Answer: 50 000, fifty thousand, 50 thousand

      Q2.
      Select a different way of saying 20 hundred thousands

      2000 hundreds
      20 million
      Correct answer: 200 ten thousands
      20 000 tens

      Q3.
      Which is the odd one out?

      1200 hundreds
      Correct answer: 12 one hundred thousands
      12 ten thousands
      120 thousands

      Q4.
      Write 154 ten thousands in digit form.

      Correct Answer: 1 540 000

      Q5.
      Fill in the missing value: 14 ten thousands is the same as __________ hundreds

      Correct Answer: 1400

      Q6.
      Fill in the missing word(s): 230 thousand is the same as 23 __________

      Correct Answer: ten thousands

      To help you plan your 7 maths lesson on: Deepening understanding of place value in integers, download all teaching resources for free and adapt to suit your pupils' needs...