Question

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

Explanation:

Step1: Identify (a) missing value

The equation follows the commutative property of addition, which states $a + b = b + a$. Here, $7 + 3 = 3 + 7$, so the blank is 3.

Step2: Identify (b) missing value

The equation follows the associative property of addition, which states $(a + b) + c = a + (b + c)$. Here, $(7 + 3) + 2 = 7 + (3 + 2)$, so the blank is 2.

Step3: Identify (c) missing value

The equation follows the identity property of addition, which states $0 + a = a$. Here, $0 + 9 = 9$, so the blank is 0.

Answer:

(a) Blank: 3; Property: Commutative Property of Addition
(b) Blank: 2; Property: Associative Property of Addition
(c) Blank: 0; Property: Identity Property of Addition