Question

use the associative property of addition to write an expression equivalent to \\((z + 7) + 5\\).

which expression is equivalent to \\((z + 7) + 5\\) by the associative property of addition?

a. \\((z + 5) + 7\\)
b. \\(5 + (z + 7)\\)
c. \\(z + 7 + 5\\)
d. \\(z + (7 + 5)\\)

Explanation:

State the given expression and property

$$ (z + 7) + 5 $$

$$ (a + b) + c = a + (b + c) $$

Apply the property to the expression

$$ a = z,\quad b = 7,\quad c = 5 $$

$$ (z + 7) + 5 = z + (7 + 5) $$

Answer:

• A. \((z + 5) + 7\)
• B. \(5 + (z + 7)\)
• C. \(z + 7 + 5\)
• D. \(z + (7 + 5)\) (Correct answer)