Question

fill in the blanks. then, choose the property of addition you used. (a) \\((2 + 6) + \square = 2 + (6 + 7)\\) select (b) \\(\square + 7 = 7 + 3\\) select (c) \\(\square + 0 = 5\\) select

Explanation:

Step1: Identify associative property

The equation $(2 + 6) + \square = 2 + (6 + 7)$ matches the associative property of addition: $(a+b)+c=a+(b+c)$. Here, $c=7$.

Step2: Identify commutative property

The equation $\square + 7 = 7 + 3$ matches the commutative property of addition: $a+b=b+a$. Here, $a=3$.

Step3: Identify identity property

The equation $\square + 0 = 5$ matches the identity property of addition: $a+0=a$. Here, $a=5$.

Answer:

(a) Blank: $7$; Property: Associative Property of Addition
(b) Blank: $3$; Property: Commutative Property of Addition
(c) Blank: $5$; Property: Identity Property of Addition