Associative, Commutative and Distributive Laws

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: 13

My Maths 7

Pg. 43 Q. 7 – 14

 

 

 

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