Absolute Value
Find the absolute value of any real number instantly with our free calculator. Get |x| results with step-by-step explanation and number line visualization.
About This Calculator
The absolute value of a number is its distance from zero on the number line, regardless of direction. Written as |x|, it is always a non-negative value. For example, |5| = 5 and |-5| = 5. This calculator computes the absolute value of any real number instantly.
Mathematically, |x| = x for x >= 0 and |x| = -x for x < 0. The absolute value function is used extensively in algebra, calculus, distance measurements, error analysis, and real-world applications like temperature differences and financial calculations.
Frequently Asked Questions
What is absolute value?
Absolute value |x| is the distance of a number x from zero on the number line, always a non-negative value. For example, |5| = 5 and |-5| = 5.
How do you calculate absolute value?
For any real number x, |x| = x if x >= 0, and |x| = -x if x < 0. Simply remove the negative sign if present. Our calculator does this instantly.
What is the absolute value of 0?
|0| = 0. Zero is its own absolute value since it is exactly at the origin on the number line.
Can absolute value be negative?
No. Absolute value represents distance from zero, which is always non-negative. The result of |x| is always >= 0 for any real number x.
What are real-world uses of absolute value?
Absolute value is used in distance calculations, temperature differences, error measurement in engineering, financial gain/loss analysis, and calculating magnitude in physics and data science.
Is this tool free?
Yes, all calculators on Calculy are completely free to use with no registration required.