What is the associtive property of addition?

Answer 1

The associative property of addition states that given any three elements in the domain, their sum does not depend on the order in which the operation of addition is carried out.

So, if x, y and z are three elements, then (x + y) + z = x + (y+ z) and either can be written as x + y + z without ambiguity.

Note that this is not true for subtraction.

(5 - 3) - 2 = 2 - 2 = 0

but

5 - (3 - 2) = 5 - 1 = 4

Answer 2

The associative property of addition states that the grouping of numbers being added does not affect the sum. In other words, when adding three or more numbers together, the order in which the numbers are grouped will not change the final result. For example, (2 + 3) + 4 is equal to 2 + (3 + 4), both of which equal 9.