Question

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

Answer 1

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

Answer 2

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

2. The equations are not equal.