New
New
Year 4

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

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

New
New
Year 4

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

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

Lesson details

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.

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.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), 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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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

number of groups

Correct Answer:2 scoops of ice cream,group size

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

dividend

Correct Answer:9,divisor

divisor

Correct Answer:5, quotient

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 = ?