Question

Look at the subtraction expression: 7-8 Which of these addition expressions is equivalent to the subtraction expression above? Choose all that apply.
-[-7+8)
0-7+ (-8)
07+(-8)
-7 + 8​

Answer 1

Given 7 — 8:

Let’s see which of the following options will result into the given expression:

Option 1:

- (- 7 + 8): distribute the negative sign into the parenthesis:

A negative integer multiplied with another negative integer results into a positive integer. While a negative integer multiplied with a positive integer results into a negative integer.

Therefore: - (- 7 + 8) = 7 - 8 (matches the given expression).

Subtracting 8 from 7 will result to - 1.
7 - 8 = - 1

Option 2:

0 — 7 + ( - 8) → distribute the positive into (-8) results to -8.

Therefore: 0 — 7 + ( - 8) = - 7 - 8 = - 15

Option 3:

07 + (-8) → 07 and 7 are the same. You must also distribute the positive into (-8) results to -8.

Therefore: 07 + (-8) = 7 - 8 (matches the given expression).

7 - 8 = -1


Option 4:

- 7 + 8 (These integers have different signs).
Adding them together:

- 7 + 8 = 1

Out of the four options, options 1 and 3 matches the given subtraction expression,
7 — 8.

Therefore, the correct answers are:
- (-7 + 8) and 07 + (-8)


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Answer 2

•Given 7 - 8 = -1
• -[-7 + 8] = -1, This choice
• 0 - 7 + (-8) = -15
• 7? + -8 = -1, This choice (if I understand “07” correctly)
• -7 + 8 = 1