Absolute Value Calculator
How It Works
This absolute value calculator uses established formulas to provide accurate results.
The basic rule:
- |x| = x if x ≥ 0
- |x| = -x if x < 0
- Distance between a and b = |a - b|
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is absolute value?
Absolute value is the distance of a number from zero on a number line, regardless of direction. It is always positive or zero. For example, |-5| = 5 and |5| = 5, because both are 5 units from zero.
What is the absolute value of zero?
The absolute value of zero is 0. Zero is exactly at the origin on the number line, so its distance from zero is 0.
How is absolute value written?
Absolute value is written with vertical bars around the number: |x|. For example, |-7| means the absolute value of -7, which equals 7.
When is absolute value used in real life?
Absolute value is used when only the magnitude matters, not the direction. Examples include distance (you cannot travel -5 miles), temperature differences, and measuring error or deviation from a target.