30 Examples of Absolute Value

In physics and mathematics, the absolute value of a real number (x) is the distance x is from zero on the number line. Since the distances are not negative, the absolute value is not negative either. For example: |8| = 8 (the absolute value of 8 is 8) and |-8| = 8 (the absolute value of -8 is 8). This means that both 8 and -8 are 8 units away from zero.

In mathematics, there is a definition of absolute value that is expressed:

|x| = {x, if x ≥ 0

{-x, if x < 0

This definition is explained as follows:

Regarding the absolute value notation, the number is always written between vertical bars:

In addition, the absolute value can be applied in different calculations:

Absolute Value Properties

The absolute value has different properties, the most important are:

Absolute Value Examples

1. |-107| = 107 (the absolute value of -107 is 107)
2. |2,34353| = 2,34353 (the absolute value of 2.34353 is 2.34353)
3. |⅛| = ⅛ (the absolute value of ⅛ is ⅛)
4. |43| = 43 (the absolute value of 43 is 43)
5. |-¼| = ¼ (the absolute value of -¼ is ¼)
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6. |-5| = 5 (the absolute value of -5 is 5)
7. |-32,789| = 32,789 (the absolute value of -32,789 is 32,789)
8. |78| = 78 (the absolute value of 78 is 78)
9. |-1½| = 1½ (the absolute value of -1½ is 1½)
10. |-984,32| = 984,32 (the absolute value of -984.32 is 984.32)
11. |24| = 24 (the absolute value of 24 is 24)
12. |-476| = 476 (the absolute value of -476 is 476)
13. |139,2| = 139,2 (the absolute value of 139.2 is 139.2)
14. |12⅙| = 12⅙ (the absolute value of 12⅙ is 12⅙)
15. |-32⅔| = 32⅔ (the absolute value of -32⅔ is 32⅔)
16. |7,333| = 7,333 (the absolute value of 7,333 is 7,333)
17. |-2,13| = 2,13 (the absolute value of -2.13 is 2.13)
18. |-19| = 19 (the absolute value of -19 is 19)
19. |-6,5| = 6,5 (the absolute value of -6.5 is 6.5)
20. |-⅝| = ⅝ (the absolute value of -⅝ is ⅝)

Examples of absolute value in operations

1. |45 + 17| – 12 = |62| – 12 = 62 – 12 = 50
2. |119 – 200| = |-81| = 81
3. 200 * |-2| = 200 * 2 = 400
4. |49 / -7| = |-7| = 7
5. 356 + |-100| = 356 + 100 = 456
6. |3 – 3| = |0| = 0
7. |200| – 50 = 200 – 50 = 150
8. |-3| * 80 = 3 * 80 = 240
9. |-350| / 10 = 350 / 10 = 35
10. |-2 * 15| + 7 = |-30| + 7 = 30 + 7 = 37

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