Absolute Value Calculator
Absolute Value Calculator
Enter any number to find its absolute value. This strips away the sign, giving you the number's distance from zero on the number line — always a non-negative result.
Absolute value is the mathematical way to express "how far" or "how much," independent of direction — a temperature 5 degrees below target and one 5 degrees above are both "5 degrees off," which is exactly what absolute value captures. This shows up constantly outside the classroom too: measuring error or deviation from a target value, calculating physical distance regardless of direction, and defining functions like absolute-value graphs (the classic V-shape) all rely on this same stripped-sign definition.
- Definition: |x| = x if x is zero or positive, and |x| = −x (which makes it positive) if x is negative.
- Always non-negative: the absolute value of any real number — positive, negative, or zero — is never negative.
- Common uses: measuring distance or magnitude regardless of direction, error/deviation calculations, and expressions where only the size of a value matters, not its sign.
What does |x| mean geometrically?
It represents the distance between x and 0 on the number line — distance is always a non-negative quantity, regardless of which direction you're measuring.
Is the absolute value of 0 positive, negative, or zero?
|0| = 0 — zero is neither positive nor negative, and its distance from itself on the number line is 0.
Absolute Value Calculator
Enter any number to find its absolute value. This strips away the sign, giving you the number's distance from zero on the number line — always a non-negative result.
Absolute value is the mathematical way to express "how far" or "how much," independent of direction — a temperature 5 degrees below target and one 5 degrees above are both "5 degrees off," which is exactly what absolute value captures. This shows up constantly outside the classroom too: measuring error or deviation from a target value, calculating physical distance regardless of direction, and defining functions like absolute-value graphs (the classic V-shape) all rely on this same stripped-sign definition.
- Definition: |x| = x if x is zero or positive, and |x| = −x (which makes it positive) if x is negative.
- Always non-negative: the absolute value of any real number — positive, negative, or zero — is never negative.
- Common uses: measuring distance or magnitude regardless of direction, error/deviation calculations, and expressions where only the size of a value matters, not its sign.
What does |x| mean geometrically?
It represents the distance between x and 0 on the number line — distance is always a non-negative quantity, regardless of which direction you're measuring.
Is the absolute value of 0 positive, negative, or zero?
|0| = 0 — zero is neither positive nor negative, and its distance from itself on the number line is 0.