Absolute Value

Absolute Value means ...

... simply how far a number is from zero:

absolute value 6 either way on number line

"6" is vi abroad from zero,
and "−6" is too half dozen abroad from zip.

So the accented value of half-dozen is half dozen,
and the accented value of −6 is also six

More Examples:

  • The absolute value of −nine is 9
  • The absolute value of iii is 3
  • The absolute value of 0 is 0
  • The absolute value of −156 is 156

No Negatives!

So in practise "accented value" means to remove any negative sign in front of a number, and to recall of all numbers equally positive (or zero).

Absolute Value Symbol

To show that we want the accented value of something, we put "|" marks either side (they are called "bars" and are found on the correct side of a keyboard), like these examples:

Sometimes absolute value is as well written as "abs()", and so abs(−1) = 1 is the same as |−1| = ane

Try It Yourself

images/absolute.js

Decrease Either Manner Effectually

And it doesn't matter which manner effectually we practise a subtraction, the absolute value will always be the same:

|viii−3| = 5 (viii−3 = five)

|3−8| = 5 (3−8 = −5, and |−5| = 5)

More than Examples

Here are some more examples of how to handle absolute values:

|−3×6| = 18
Considering −3×half dozen = −18, and |−18| = 18

−|5−2| = −3
Because 5−2 = 3 and then the first minus gets us −3

−|2−5| = −3
Because ii−5 = −3 , |−3| = 3, and then the kickoff minus gets the states −3

−|−12| = −12
Because |−12| = 12 so the commencement minus gets us −12

Learn more at Absolute Value in Algebra

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