Question

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

Explanation:

Step1: Identify commutative property

The equation $5 + \square = 7 + 5$ follows the commutative property of addition ($a+b=b+a$). To balance, $\square=7$.

Step2: Identify identity property

The equation $8 + \square = 8$ follows the additive identity property ($a+0=a$). To balance, $\square=0$.

Step3: Identify associative property

The equation $3 + (2 + 5) = (3 + 2) + \square$ follows the associative property of addition ($a+(b+c)=(a+b)+c$). To balance, $\square=5$.

Answer:

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