Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Use knowledge of column addition and subtraction to calculate with decimals: tenths and hundredths

      Lesson details

      Learning outcome

      I can use knowledge of column addition and subtraction to calculate with decimals with tenths and hundredths.

      Key learning points

      1. Numbers are recorded in columns with the same value digits in each column
      2. Identify if regrouping will occur
      3. If the value of a digit in the minuend is greater than the same digit in the subtrahend, you will need to regroup
      4. Make sure that any regrouped numbers are added in with others of the same value

      Keywords

      • Hundredth - The name we give to one part of one hundred equal parts.

      • Tenth - The name we give to one part of ten equal parts.

      • Regroup / regrouping - The process of unitising and exchanging between place values.

      Common misconception

      Where regroupings are required, pupils may not be concise in their jottings.

      Encourage pupils to articulate what each number represents in each calculation, demonstrating the calculations with place value counters.

      Teacher tip

      Whilst some of the numbers used could be tackled mentally, they have been used to help scaffold thinking as pupils develop their understanding for column methods using decimals. Encourage pupils to reason using place value counters.

      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

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Tick all the expressions that would make or bridge 10.

      Correct answer: 7 + 5
      Correct answer: 3 + 8
      Correct answer: 6 + 4
      5 + 4
      8 + 1

      Q2.
      Order the expressions from the smallest amount to the largest amount.

      1 - 6 + 7
      2 - 2 + 9
      3 - 14 – 5
      4 - 5 + 3
      5 - 12 − 6

      Q3.
      Complete the column addition and write in the answer.

      An image in a quiz
      Correct Answer: 9.1

      Q4.
      Complete the column subtraction and write in the answer.

      An image in a quiz
      Correct Answer: 2.9

      Q5.
      Tick the calculations that require a regrouping.

      6.7 – 4.2
      Correct answer: 5.4 – 3.5
      Correct answer: 17.7 – 8.2

      Q6.
      Tick the correct explanation of the mistake that has been made.

      An image in a quiz
      Correct answer: The number of ones that have been regrouped is incorrect.
      They did not need to regroup.
      They have added instead of subtracted.
      The decimal points are not lined up correctly.

      6 Questions

      Q1.
      Complete the column addition and write in the answer.

      An image in a quiz
      Correct Answer: 4.46

      Q2.
      Complete the column subtraction and write in the answer.

      An image in a quiz
      Correct Answer: 4.95

      Q3.
      How many regroupings does this calculation require?

      An image in a quiz
      1 regrouping
      Correct answer: 2 regroupings
      3 regroupings

      Q4.
      Which calculation represents this bar model?

      An image in a quiz
      1.34 + 2.76 = ___
      Correct answer: 2.76 – 1.34 = ___
      Correct answer: 2.76 – ___ = 1.34
      Correct answer: 2.76 = 1.34 + ___

      Q5.
      Look at the column addition. What is the missing digit?

      An image in a quiz
      Correct Answer: 0, zero, nought

      Q6.
      Look at the column subtraction. What is the missing digit?

      An image in a quiz
      Correct Answer: 4

      To help you plan your 5 maths lesson on: Use knowledge of column addition and subtraction to calculate with decimals: tenths and hundredths, download all teaching resources for free and adapt to suit your pupils' needs...