Question
which statements about the opposite of -12 are true A the opposite of -12 is -1/12, B -12 and its opposite are on located on the same side of zero on a number line, C -12 on its opposite side are located the same distance from zero on a number line, D the opposite of the opposite of -12 is -12
Answers
GPT-4o mini
Let's evaluate each statement regarding the opposite of -12, which is 12.
A. **The opposite of -12 is -1/12.**
This statement is false. The opposite of -12 is 12, not -1/12.
B. **-12 and its opposite are located on the same side of zero on a number line.**
This statement is false. -12 is on the left side of zero, while its opposite, 12, is on the right side of zero.
C. **-12 and its opposite are located the same distance from zero on a number line.**
This statement is true. Both -12 and 12 are 12 units away from zero.
D. **The opposite of the opposite of -12 is -12.**
This statement is false. The opposite of -12 is 12, and the opposite of 12 is -12. So, the statement should say that the opposite of the opposite of -12 is 12.
In summary, only statement C is true.
A. **The opposite of -12 is -1/12.**
This statement is false. The opposite of -12 is 12, not -1/12.
B. **-12 and its opposite are located on the same side of zero on a number line.**
This statement is false. -12 is on the left side of zero, while its opposite, 12, is on the right side of zero.
C. **-12 and its opposite are located the same distance from zero on a number line.**
This statement is true. Both -12 and 12 are 12 units away from zero.
D. **The opposite of the opposite of -12 is -12.**
This statement is false. The opposite of -12 is 12, and the opposite of 12 is -12. So, the statement should say that the opposite of the opposite of -12 is 12.
In summary, only statement C is true.