Question

[10 POINTS] Name the algebraic property demonstrated in the example below:

(2 + x) + y = 2 + (x + y)

A. Commutative Property of Addition
B. Associative Property of Addition
C. Distributive Property
D. Transitive Property

Answer 1

The answer is b because: Associative property means involving the condition that a group of quantities connected by operators gives the same result whatever their grouping, as long as their order remains the same. so when you do (2 + x) + y = 2 + (x + y) the answer will remain the same when you do it backwards.

Answer 2

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' I mean 'how you use parenthesis'.

In other words, if you are adding or multiplying it does not matter where you put the parenthesis.

Hence, the answer is B.