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      Place value in decimals

      Lesson details

      Learning outcome

      I can state place value in decimals, including recognising exponent and fractional representations of the column headings.

      Key learning points

      1. The column headings for decimals can be expressed in different ways.
      2. A decimal can be represented by using exponentials in the column headings.
      3. A decimal can be represented by using fractions in the column headings.
      4. You can state place value in decimals with column headings expressed in different ways.

      Keywords

      • Decimal form - A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.

      Common misconception

      Students can incorrectly insert a digit in the wrong place value column.

      Printing or white board drawings of a place value chart will support student understanding of the different column headings and place value.

      Teacher tip

      Pupils may benefit from having physical resources to manipulate, e.g. Gattegno chart and Dienes blocks.

      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.
      Which of the following is written in exponent form?

      Correct answer: $$10^3$$
      1000
      $$1\over1000$$
      $$^310 $$
      0.001

      Q2.
      Which of these is a column heading from our place value chart?

      $$1\over100.01$$
      0.013
      Correct answer: $$1\over 10^2$$
      $$1\over 10^{1.5}$$

      Q3.
      Match the number with its exponent form

      Correct Answer:$$10^2$$,100

      100

      Correct Answer:$$10^3$$,1000

      1000

      Correct Answer:$$10^1$$,10

      10

      Correct Answer:$$1\over10$$,0.1

      0.1

      Q4.
      Put in order of size, starting with the smallest.

      1 - 0.001
      2 - 0.01
      3 - 0.1
      4 - 1
      5 - 10
      6 - 100

      Q5.
      Put in order of size, starting with the smallest

      1 - $$1\over 10^4$$
      2 - $$1\over 10^2$$
      3 - $$1\over 10$$
      4 - $$10$$
      5 - $$10^2$$
      6 - $$10^4$$

      Q6.
      Which of the following is the number $$4\times10^4 + 8\times10^2 + 3$$

      4803
      40 830
      Correct answer: 40 803
      48 300
      48 003

      6 Questions

      Q1.
      A number is in ___________ when the decimal point is shown and there are digits to the right of the decimal point.

      Correct answer: decimal form
      exponent form
      fractional form
      integer form
      usual form

      Q2.
      Which decimal has 5 tenths?

      24.895
      15.759
      Correct answer: 8.567
      144.2
      505.0505

      Q3.
      Match the statement with the correct form

      Correct Answer:In fractional form,$$ {7}\over 1000$$

      $$ {7}\over 1000$$

      Correct Answer:In decimal form,0.007

      0.007

      Correct Answer:In exponent form,$$ 7\over 10^3 $$

      $$ 7\over 10^3 $$

      Correct Answer:In words,seven thousandths

      seven thousandths

      Q4.
      Which place value chart has an 8 in the $$1\over{10^2}$$ column?

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q5.
      Write in decimal form $${5\times10^3 + 8\times10^2 + 4\times10}+ 3\times{{1}\over{10}} $$

      Correct answer: 5840.3
      584.3
      5804.3
      58.403
      5480.3

      Q6.
      Write in decimal form $${7\times 10^2+8\times10+0.3}+{6\over10}+{9\over10^2}$$

      780.39
      780.369
      Correct answer: 780.99
      783.69
      7800.369

      To help you plan your 7 maths lesson on: Place value in decimals, download all teaching resources for free and adapt to suit your pupils' needs...