How do you know the opposite of a nonzero integer?
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Part 1
Choose the correct answer below.
A.
The opposite of any nonzero integer will be the same distance from 0 in the same direction.
B.
The opposite of any nonzero integer will be the same distance from 0 in the opposite direction.
C.
The opposite of any nonzero integer will be farther from 0 in the opposite direction.
D.
The opposite of any nonzero integer will be farther from 0 in the same direction.
B. The opposite of any nonzero integer will be the same distance from 0 in the opposite direction.
The correct answer is B. The opposite of any nonzero integer will be the same distance from 0 in the opposite direction.
To know the opposite of a nonzero integer, you can follow these steps:
1. Start with the given nonzero integer.
2. Determine the direction in which the number is located on the number line. If the number is positive, it is to the right of zero, and if the number is negative, it is to the left of zero.
3. Move the same distance from zero in the opposite direction. This means if the number is to the right of zero, you move the same distance to the left, and if the number is to the left of zero, you move the same distance to the right.
4. The resulting number you land on is the opposite of the given nonzero integer.
Taking this into consideration, let's analyze the options:
A. The opposite of any nonzero integer will be the same distance from 0 in the same direction.
This option is not correct because the opposite of a nonzero integer is in the opposite direction.
B. The opposite of any nonzero integer will be the same distance from 0 in the opposite direction.
This option is correct because when finding the opposite of a nonzero integer, you move the same distance from zero, but in the opposite direction.
C. The opposite of any nonzero integer will be farther from 0 in the opposite direction.
This option is not correct because the opposite of a nonzero integer is the same distance from zero in the opposite direction, not farther.
D. The opposite of any nonzero integer will be farther from 0 in the same direction.
This option is not correct because the opposite of a nonzero integer is in the opposite direction, not the same direction.
Therefore, the correct answer is B. The opposite of any nonzero integer will be the same distance from 0 in the opposite direction.