Question

How do you find the absolute value of -6?

Answer 1

`|-6| = 6`,
as follows from the definition of absolute value of a real number.

Explanation:

Recall the DEFINITION of the absolute value of a real number.

The absolute value of a non-negative number (that is, positive or zero) equals to this same number.
For example,
`|23|=23`,
`|0|=0`,
`|1234567890|=1234567890`

The absolute value of a negative number equals to a negation of this number (that is, a difference between `0` and this number).
For example,
`|-23|=-(0-23)=23`,
`|-1234567890|=-(0-1234567890)=1234567890`

That's why `|-6|=-(0-6)=6`.