Question

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

( 8 + 27) + 52 and 8 + (27 + 52)

Which one is correct

yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent

Answer 1

yes, it uses the Associative Property

Explanation:

The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.