Question

When is the opposite of the opposite of a number the same as the original number?
When the original number is positive
Always
When the original number is negative
Never

Answer 1

The opposite of a number \( x \) is \( -x \). The opposite of that opposite is \( -(-x) \), which simplifies back to \( x \).

Thus, the opposite of the opposite of a number is always the same as the original number, regardless of whether the original number is positive, negative, or zero.

The correct answer is: **Always.**