Question

Which statement about the distance between 6 and 0 and the distance between the opposite of 6 and 0 is true?

A. The distance is the same.
B. The opposite of 6 is farther from 0 than 6.
C. The number 6 is farther from 0 than the opposite of 6.
D. You cannot compare the distances because one is negative, and the other is positive.

Answer 1

Answer: a

Explanation:

Answer 2

A

Explanation:

Use the absolute value to find the difference between the points

6 and 0

distance = | 6 - 0 | = | 6 | = 6 , or

distance = | 0 - 6 | = | - 6 | = 6

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the opposite of 6 is - 6

- 6 and 0

distance = | - 6 - 0 | = | - 6 | = 6 , or

distance = | 0 - 6 | = | - 6 | = 6

Thus the distance is the same → A