The absolute value of a number is simply the distance that number lies away from 0 on the number line. Absolute value eliminates the "direction" traveled to get there. It's like saying that you walked 3 meters frontward versus 3 meters backward. You walked 3 meters in different directions from where you started!
Some examples: #|-3| = 3# and #|3|=3# #|-9| = 9# #|5| = 5# #|3-11| = |-8| = 8#
With a number line in front of you, you can point to any location and tell someone how far it is from 0 by just ignoring whether that point is to the left or right of 0. Think of that as "absolute value"!
Absolute value is how far a number is away from zero |(insert number)| is the symbol for it. example: |-6| = 6, because -6 is 6 numbers away from zero. The same applies for positives. |6| = 6, because 6 is 6 numbers away from 0.