Question

fill in the blanks. then, choose the property of addition you used.
(a) \\( 2 + (3 + 5) = (2 + 3) + \square \\) select
(b) \\( 8 + \square = 7 + 8 \\) select
(c) \\( 9 + \square = 9 \\) select

Explanation:

Step1: Solve (a) via Associative Property

The associative property of addition states $(a+(b+c))=(a+b)+c$. Here, $a=2$, $b=3$, $c=5$, so the blank is $5$.

Step2: Solve (b) via Commutative Property

The commutative property of addition states $a+b=b+a$. Here, $a=8$, $b=7$, so the blank is $7$.

Step3: Solve (c) via Identity Property

The additive identity property states $a+0=a$. Here, $a=9$, so the blank is $0$.

Answer:

(a) Blank: $5$, Property: Associative Property of Addition
(b) Blank: $7$, Property: Commutative Property of Addition
(c) Blank: $0$, Property: Additive Identity Property of Addition