Question

Which of the following expressions are equivalent to -8 - (-1) - 5?

A) A) -8 - 1 - 5
B) B) -8 + 1 - 5
C) C) -8 + (-1) + (-5)
D) D) (8 + 1) - 5

Answer 1

The expression -8 - (-1) - 5 is equivalent to -8 + 1 - 5, which simplifies to -12. It is represented by option B) -8 + 1 - 5.

Step-by-step explanation:

The expression -8 - (-1) - 5 can be simplified by recognizing that subtracting a negative number is the same as adding its positive counterpart. Therefore, the equivalent expression would be:

-8 + 1 - 5

Now, we perform the operations step-by-step:

1. First, we add the numbers -8 and 1 to get -7.
2. Next, we subtract 5 from -7, which results in -12.

The complete calculation looks like this: -8 + 1 - 5 = -7 - 5 = -12. Therefore, the original expression -8 - (-1) - 5 is equivalent to option B) -8 + 1 - 5.