When is the opposite of the opposite of a number of the same as the original number? Never always when the original number is negative when the original number is positive.
The opposite of a number is the number multiplied by -1.
So, the opposite of the opposite of a number is the opposite of the original number multiplied by -1.
Let's denote the original number as "x".
The opposite of the original number is -x.
Therefore, the opposite of the opposite of the original number is -(-x) = x.
So, the opposite of the opposite of a number is the same as the original number.
To answer your question:
- The opposite of the opposite of a number is always the same as the original number.
- This is true regardless of whether the original number is negative or positive.
The opposite of a number is the number multiplied by -1. Therefore, the opposite of the opposite of a number is the opposite of the number multiplied by -1.
Let's represent the original number as "x".
The opposite of x is -x, and the opposite of -x is -(-x) which simplifies to x.
So, when will the opposite of the opposite of a number be the same as the original number?
It will always be the same as the original number, regardless of whether the original number is positive or negative.