Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151)
Source: Australian Curriculum, Assessment and Reporting Authority (ACARA)
The commutative and associative rules apply to addition.
In general if a and b are numbers
a + b = b + a (commutative law for addition)
For example, 7 + 8 = 8 + 7
(a + b) + c = a + (b + c) (associative law for addition)
For example, (7 + 5) + 6 = 7 + (5 + 6)
It is not necessary for students to use the names of the laws or identify when a rule is being employed. Students should be aware of the properties and use them for mental and written computation.
They are also important in algebra.