Question

How do the expressions 72 - 9 and -72 - (-9) compare when they are evaluated?

a. They have different values and are different signs.
b. They have different values but are the same sign.
c. They have the same value but are different signs.
d. They have the same value and the same sign.

Answer 1

The expressions 72 - 9 and -72 - (-9) are evaluated to be 63 and -63, respectively. They have the same value in terms of their magnitude but have different signs.

Step-by-step explanation:

When evaluating the expressions 72 - 9 and -72 - (-9), we need to follow the rules for addition and subtraction of integers. For the first expression, we simply subtract 9 from 72. For the second expression, we need to change the subtraction sign to addition and the sign of the second number and then add the numbers.

72 - 9 = 63

-72 - (-9) = -72 + 9 = -63

Now, comparing the results, we see that the values are the same magnitude but different signs. So, the correct answer is: c. They have the same value but are different signs.