Absolute Value

Absolute Value

The absolute value of a number can be considered as the distance between 0 and that number on the real number line.

Absolute Value 2

Remember that distance is always a positive quantity (or zero).
The distance in the diagram below from -3 to 0 is 3 units. These units are never negative values.

Absolute Value 1

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Absolute Value of an Integer:

The absolute value of an integer is the numerical value (magnitude) of an integer regardless of its sign (direction). It is denoted by the symbol | |. The absolute value of an integer is either zero or  positive. Also, the corresponding positive and negative integers have the same absolute value.
Examples:
The absolute value of -2 is | -2 | = 2.
The absolute value of 5 is | 5 | = 5.
The absolute value of 0 is  | 0 | = 0

 

Absolute Value Inequality Graph

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