When is the opposite of the opposite of a number the same as the original number?(1 point)
Responses
never
never
always
always
when the original number is negative
when the original number is negative
when the original number is positive
when the original number is positive
how is it correct explain
yeah how is it correct
when the original number is positive
To find out when the opposite of the opposite of a number is the same as the original number, we can break it down step by step:
1. Let's assume the original number is "x".
2. The opposite of "x" is "-x", which means the number with the opposite sign.
3. The opposite of "-x" is again "-(-x)" which simplifies to "+x". This is the opposite of the opposite of "x".
4. Now, we need to determine when this is the same as the original number.
a) If "x" is positive, then "+x" is the same as "x", so the statement holds true.
b) If "x" is negative, then "+x" is the opposite of "x" but not the same as "x". Therefore, the statement does not hold true.
In conclusion, the opposite of the opposite of a number is the same as the original number when the original number is positive.