Question

Which statements are true?

Select each correct answer.


Since −6 is 6 units to the left of 0, |−6|=6 .

The absolute value of −6 is negative.

The absolute value of −6 is less than the absolute value of 6.

​ −6 ​ is closer to zero on the number line than ​ −7 ​ , so |−6|<|−7| .

Answer 1

The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)

Explanation:

Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).