Question

(01.07)

Name the algebraic property demonstrated in the example below:
(2 + x) + y = 2 + (x + y) (1 point)


Commutative Property of Addition

Associative Property of Addition

Distributive Property

Transitive Property

Answer 1

Answer: Associative Property of Addition

We basically have 2+x+y on each side. The difference is the use of parenthesis in different places. With addition, we can add in any order we want and that includes grouping terms as well. For example
(2+3)+5 = (5)+5 = 5+5 = 10
2+(3+5) = 2+(8) = 2+8 = 10

So that's why in general (2+x)+y = 2+(x+y) is true for all real numbers x and y.