The commutative property means: order does not matter in multiplication.
a x b = b x a
This is useful because you only need to learn half the times table — if you know 7x8=56, you also know 8x7=56.
Multiplication Facts (1-10) • Topic 2 of 3
Commutative Property of Multiplication
Solved Examples
1
Worked Example
5 x 6 = 30. What is 6 x 5?
Solution6 x 5 = 30. Commutative property: switching the order gives the same answer.
2
Worked Example
Write another fact related to 8 x 3 = 24.
Solution3 x 8 = 24. Flip the two numbers — the product stays the same.
3
Worked Example
Is 9 x 7 = 7 x 9?
SolutionYes. Both equal 63. Commutative property always works for multiplication.
Key Points
- a x b = b x a always. Order never changes the product.
- Knowing 7x8=56 means you also know 8x7=56 for free.
- This halves the number of multiplication facts you need to memorize.
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.The commutative property says:
Explanation: Order can swap.
Q2.$3\times4=$
Explanation: $=4\times3$.
Q3.Changing the order of factors changes the product?
Explanation: No, it stays the same.
Q4.If $6\times4=24$, then $4\times6=$
Explanation: $24$.