What Is Absolute Value in Mathematics?

Absolute Value
Absolute Value. D. Russell

The absolute value is always a positive number except for 0 as 0 is neither positive or negative. Absolute Value refers to the distance of a number from 0, the distances are positive as absolute value of a number cannot be negative. Remind yourself that absolute value is just how far from 0 the number is regardless of direction.

You will use this term to refer to the distance of a point or number from the origin (zero points) of a number line.

The symbol to show the absolute value is two vertical lines: | -2 | = 2.

Examples

|5| This shows the absolute value of 5 is 5.
|-5| This shows the absolute value of -5 is 5.

A Few to Try:

1.)   3x = 9

2.)   |−3r = |9

Answer

1.) {3, −3} 

2.) {−3, 3}