Question

fill in the blanks. then, choose the property of addition you used.
(a) \\( 8 + \square = 8 \\) select
(b) \\( 9 + \square = 8 + 9 \\) select
(c) \\( 4 + (2 + 9) = (4 + 2) + \square \\) select

Explanation:

Step1: Solve (a) using identity property

The identity property of addition states that adding 0 to a number leaves it unchanged.
$8 + 0 = 8$

Step2: Solve (b) using commutative property

The commutative property of addition states that $a + b = b + a$.
$9 + 8 = 8 + 9$

Step3: Solve (c) using associative property

The associative property of addition states that $a + (b + c) = (a + b) + c$.
$4 + (2 + 9) = (4 + 2) + 9$

Answer:

(a) Blank: 0; Property: Identity Property of Addition
(b) Blank: 8; Property: Commutative Property of Addition
(c) Blank: 9; Property: Associative Property of Addition