Question

1. which other expression has the same value as (-14) - 8? explain your reasoning.

a. (-14) + 8
b. 14 - (-8)
c. 14 + (-8)
d. (-14) + (-8)

Explanation:

Step1: Calculate original expression

$(-14) - 8 = -22$

Step2: Calculate option a

$(-14) + 8 = -6$

Step3: Calculate option b

$14 - (-8) = 14 + 8 = 22$

Step4: Calculate option c

$14 + (-8) = 14 - 8 = 6$

Step5: Calculate option d

$(-14) + (-8) = -14 - 8 = -22$

Step6: Match values

The result of the original expression matches option d, since subtracting a positive number is equivalent to adding its negative counterpart.

Answer:

d. $(-14) + (-8)$