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

      Explain where zero can be part of a multiplication or division expression and the impact it has

      Lesson details

      Learning outcome

      I can explain where zero can be part of a multiplication or division expression and the impact it has.

      Key learning points

      1. When zero is a factor, the product is zero.
      2. Zero can represent the group size or the number of groups in a multiplication context.
      3. In a division, zero can be the dividend but not the divisor.

      Keywords

      • Dividend - The dividend is the number being divided.

      • Divisor - The divisor is a number that will divide the dividend exactly.

      • Quotient - The quotient is the result of the dividend being divided by the divisor.

      Common misconception

      Many pupils will come into the lesson believing that the value of 3 ÷ 0 is 0

      Make sure that you use other examples of related multiplication and division equations to show how they can help to disprove the idea that the divisor can be used as zero. Keep them clearly displayed on the learning wall.

      Teacher tip

      You might want to have a discussion with the children about what zero is and give them the time to come up with some examples. Explain that it is an important number that has not always been in use.

      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.
      What is the missing number in the equation below? × 8 = 40

      Correct Answer: 5

      Q2.
      What is the missing number in the equation below? 8 × = 48

      Correct Answer: 6

      Q3.
      What is the missing number in the equation below? 15 × = 30

      Correct Answer: 2

      Q4.
      Tick the two equations that show that multiplication is commutative.

      Correct answer: 6 × 5 = 30
      32 = 8 × 4
      Correct answer: 30 = 5 × 6
      7 × 6 = 42

      Q5.
      There are 4 bowls of 2 scoops of ice cream. Match the object with group size or number of groups.

      Correct Answer:4 bowls,number of groups
      Correct Answer:2 scoops of ice cream,group size

      Q6.
      Which part of a related division fact does the product become?

      Correct answer: Dividend
      Divisor
      Quotient

      6 Questions

      Q1.
      45 ÷ 9 = 5 Match the numbers in this equation to their correct labels.

      Correct Answer:45,dividend
      Correct Answer:9,divisor
      Correct Answer:5, quotient

      Q2.
      Which of these equations is the related division fact for the multiplication equation 6 × 3 = 18?

      Correct answer: 18 ÷ 3 = 6
      18 ÷ 2 = 9

      Q3.
      What is the missing factor in this equation? × 3 = 0

      Correct Answer: 0

      Q4.
      What is the missing dividend in this equation? ÷ 5 = 0

      Correct Answer: 0

      Q5.
      True or false? If the dividend is zero, then the quotient will be zero as well.

      Correct answer: True
      False

      Q6.
      Tick the equations that have a solution of 0

      9 ÷ 0 = ?
      3 ÷ 0 = ?
      Correct answer: 0 ÷ 7 = ?
      Correct answer: 0 ÷ 2 = ?

      To help you plan your 4 maths lesson on: Explain where zero can be part of a multiplication or division expression and the impact it has, download all teaching resources for free and adapt to suit your pupils' needs...