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


1. 15+(5+8) and (15+5)+8

2. (20-12)-3 and 20-(12-3)



tell and answer and explain

Verified Answer :

  1. The Associative Property of Addition.
    Both equations equal 28.

    2. The equations are not equal.

The Adding Associative Property

we always do what's in the parenthesis first!

1. 15+(5+8) and (15+5)+8
\(15+(5+8) = (15+5)+8\)
\(15+13 = 20+8\)
\(\boxed{28=28} (TRUE)\)

equivalent

2. (20-12)-3 and 20-(12-3)
\(8-3=20-9\)
\(\boxed{5=11}(FALSE)\) → \(\boxed{5 eq 11}\)  not equivalent