Absolute Value Calculator
|x|
Result
About Absolute Value
Absolute Value Definition
The absolute value of a number is its distance from zero on the number line, regardless of direction:
|x| = {
x, if x ≥ 0
-x, if x < 0
}
Properties of Absolute Value
- |x| ≥ 0 for all real numbers x
- |x| = |-x|
- |x × y| = |x| × |y|
- |x + y| ≤ |x| + |y| (Triangle Inequality)
Example Problems
Example 1:
Calculate |5|
Solution:
- Since 5 > 0, |5| = 5
Example 2:
Calculate |-3|
Solution:
- Since -3 < 0, |-3| = -(-3) = 3
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