Integers and Absolute Value

The absolute value of a number is its distance from zero, in either direction, on the number line.

For example, the distance of and from zero on number line is .
-  The absolute value of an integer is the numerical value without its sign. (negative or positive)
-  The vertical bar is used for absolute value as in .
-  The absolute value of a number is never negative; because it only shows, "how far the number is from zero".

Examples:
Example 1.  Calculate.
Solution: First, solve , →, the absolute value of is , , Then:

Example 2.  Solve.
Solution: First, find → the absolute value of is . Then: ,
Now, calculate , → , the absolute value of is . Then:

Example 3.  Solve.
Solution: First, calculate ,→, the absolute value of is , . Then:
Now calculate , → , the absolute value of is , , Then: