|x| Absolute Value Calculator
Calculate absolute value and distance from zero
About Absolute Value
Absolute value is the distance of a number from zero, always positive or zero. Denoted as |x|.
Properties
- |x| ≥ 0 for all x
- |-x| = |x|
- |x × y| = |x| × |y|
- |x + y| ≤ |x| + |y| (triangle inequality)
Frequently Asked Questions
Why is absolute value always positive?
Absolute value represents distance, which cannot be negative. |-5| = 5 because -5 is 5 units from zero.
What is |0|?
The absolute value of zero is zero: |0| = 0