To examine the statement "32 + (-17) is 17 units from 32, in the positive direction," we can break it down into simpler terms.
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Calculate 32 + (-17): \[ 32 + (-17) = 32 - 17 = 15 \] So, the result of the operation is 15.
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Determine the distance from 32 to 15: The distance from 32 to 15 can be calculated as: \[ 32 - 15 = 17 \] This is a distance of 17 units.
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Direction of movement: The movement from 32 to 15 is actually a movement in the negative direction (downward), as you are going from a larger number (32) to a smaller number (15).
Now, let's consider the provided answer choices:
A. No. The integer minus 17 represents 0 units in the negative direction.
- Incorrect, since -17 is not zero and does not represent 0 units.
B. No. The integer minus 17 represents 17 units in both the positive and negative directions.
- Incorrect, since -17 specifically moves in the negative direction.
C. No. The integer minus 17 represents 17 units in the negative direction.
- Correct. -17 means we are moving downhill or down 17 units from 32 to get to 15, which is indeed in the negative direction.
D. Yes. The integer minus 17 represents 17 units in the positive direction.
- Incorrect, because we are not moving in the positive direction.
Therefore, the correct answer is:
C. No. The integer minus 17 represents 17 units in the negative direction.