Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151)
LO: To apply the associative, commutative and distributive laws.
- the place value of numbers
- how to add numbers
- how to multiply and divide numbers
- the order of operations
- that the associative, commutative and distributive laws can aid mental computation.
- I can use the associative, commutative and distributive laws.
Examples (Visual Representations)
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.
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)
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
Pg. 5 Exercise 1.1 Q1C4,2C4,3C4,4,6,8,9, 11. Extension: 13
My Maths 7
Pg. 43 Q. 7 – 14