Absolute Value

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What is Absolute Value?

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1 of 2 videos by Samira Rawoof

Key Questions

  • 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.

    Imagine yourself as a point. Underground= negative numbers
    and above ground=positive numbers. an apple is zero

    so if you have ABS (5) that means you are 5 steps away from the apple. It doesnt say if your above ground or not.

    the explanation is a little hard but thats how many people learn it

  • Because it is a convenient way to make sure that a quantity is nonnegative; for example, you can define the distance between two real numbers #a# and #b# as #|a - b|#.


    I hope that this was helpful.

  • Add the absolute values.

    Absolute Value is the distance from zero a number is, so adding the absolute values will yield the distance of two points in a one dimensional plane graph. So:

    Distance from l6l to l-10l =16 units of distance

    -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

    ( 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16)

    Just to verify, we can count the places and it indeed equals 16

  • 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"!

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