Kostenloser Absolutwertrechner

Berechne den Absolutwert (Betrag) einer Zahl. Der Absolutwert gibt den Abstand zur Null auf dem Zahlenstrahl an.

Abs Val

7.500000

Sign-1
Squared56.2500

Formel

## 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)

Lösungsbeispiel

Find the absolute value of -7.5.

  1. 01|-7.5| = 7.5
  2. 02The number is negative, so the sign is -1
  3. 03(-7.5)² = 56.25

Häufig Gestellte Fragen

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.

Lernen

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