How do you find the absolute value of -6?

1 Answer
Jun 23, 2016

#|-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#.