Absolute Value

The numerical value when direction or sign is not considered is called the absolute value. The absolute value of x is written | x|. The absolute value of a number is always positive except when the number is 0.

| 0 | = 0| x | > 0 when x ≠ 0| – x| > 0 when x ≠ 0

Example 1

Give the value.

  1. |4| = 4

  2. |–6| = 6

  3. |7 – 9| = |–2| = 2

  4. 3 – |–6| = 3 – 6 = –3

Note that absolute value is taken first, or work is first done within the absolute value signs.