Absolute Value

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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