Absolute Value
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The
absolute value of a number describes the distance of the number on the
number line from 0. It does not consider which direction from 0 the number
lies. The absolute value of a number is always positive.
The absolute value of 3 is 3 which means that its distance from 0 is 3 units
The absolute value of −3 is also 3 which means that its distance from
0 is 3 units
The symbol for absolute value is two straight lines  (called bars) surrounding
the number or expression for which you wish to indicate absolute value.
For example:

 6 
= 6 which means the absolute value of 6 is 6.
 − 6  = 6 which
means the absolute value of 6 is 6.


 3 − 7  =  −4  = 4


 6 +
3(−5)  =  6 − 15  =  −9  = 9

Have a look at the following videos for more examples on absolute values:
It is important to note that the absolute value bars do NOT work in the
same way as parentheses. Recall that − (−5) = (−1) × (−5) = +5.
However, for the absolute value it is done by removing the absolute bar
and then performing the sign operation.
− −5  = −(+5) = (−1) × (+5)
= −5
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