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The absolute value (or modulus) of a real number is its numerical value without regard to its sign. So, for example, 10 is the absolute value of both 10 and -10.

The absolute value or magnitude of 0 is 0.

The absolute value or magnitude of a negative number say -11 is +11.  

|a| = { a when a > 0, and  -a when a < 0.

If you consider a number line, the absolute value of a real number gives its distance to 0.

Number Line

The distance of X from 0 is 4 and the distance of Y from 0 is 3

Examples

|-2| = 2 | 8 - 2| = 6
|7 - (-2)| = |7 + 2| = 9 |5 - 7| = |-2| = 2
| - 3 - 4| = |-7| = 7 5 * |-5| = 5 * 5 = 25
   
 
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