Multiplication and Division as Inverse Operations: Step-by-Step Example
22 October 2026
Multiplication and division are called inverse operations because they undo each other. This means if you know one, you can use it to work out the other. Here's a clear example to help your child see how these two operations are linked.
Worked example
If 6 × 3 = 18, what is 18 ÷ 3?
Step 1: Start with the multiplication fact. 6 × 3 = 18.
Step 2: Use the division to undo the multiplication. 18 ÷ 3 =?
Step 3: Divide 18 by 3. 18 ÷ 3 = 6.
Step 4: Check. 6 × 3 gives 18, so the answer makes sense.
The correct answer is 6.
Key insight: When children understand that multiplication and division are opposites, it becomes much easier to solve missing number questions. Your child can now spot how to use one operation to check the other, and is ready to practise similar questions.
