Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151)
LO: To apply the associative, commutative and distributive laws.
Know:
- the place value of numbers
- how to add numbers
- how to multiply and divide numbers
- the order of operations
Understand:
- that the associative, commutative and distributive laws can aid mental computation.
Do:
- I can use the associative, commutative and distributive laws.
Examples (Visual Representations)

Associative Law

Communitive Law
Notes
Commutative Law
When adding or multiplying numbers, the order of the numbers does not matter.
A + B = B + A
A x B = B x A
For example, 2 x 4 will give you the exact same result as 4 x 2.
Same with 6 + 3 will result in the same as 3 + 6.
Associative Law
When adding or multiplying numbers in brackets, the order of the numbers does not matter.
(A + B) + C = A + (B + C)
(A x B) x C = A x (B x C)
For example, (3 + 2) + 4 = 3 + (2 + 4)


Distributive Law
Is used for the expansion of brackets.
In this case on the left, you have 3 rows of 2 blues, you also have 3 rows of 4 yellows.
So if you add 3 x 2 and 3 x 4 = you would get 18 squares which is the same as 3 x 6.
Associative, Commutative and Distributive Law Videos
Student Generated Videos
Practice Questions
Pearson 7:Pg. 5 Exercise 1.1 Q1C4,2C4,3C4,4,6,8,9, 11. Extension: 13My Maths 7Pg. 43 Q. 7 – 14 |
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