Absolute Value Calculator
Calculate the absolute value of a number. Also shows the distance from zero on the number line.
Abs Val
7.500000
Formule
## Absolute Value ### Definition **|x| = x if x ≥ 0, and |x| = -x if x < 0** The absolute value of a number is its distance from zero on the number line, always non-negative. ### Properties - |x| ≥ 0 for all x - |x| = 0 only when x = 0 - |xy| = |x| × |y| - |x + y| ≤ |x| + |y| (triangle inequality)
Exemple Résolu
Find the absolute value of -7.5.
- 01|-7.5| = 7.5
- 02The number is negative, so the sign is -1
- 03(-7.5)² = 56.25
Questions Fréquentes
What is absolute value?
Absolute value is the distance of a number from zero, regardless of direction. It strips away the negative sign if present.
Is absolute value always positive?
Absolute value is always non-negative. It equals zero only when the input is zero, and is positive for all other inputs.
How is absolute value used in real life?
Absolute value is used when only magnitude matters: distance between points, error margins, temperature differences, and electrical signal strength.
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