Absolute Value Calculator

Calculate the absolute value of a number. Also shows the distance from zero on the number line.

Abs Val

7.500000

Sign-1
Squared56.2500

Absolute Value

Definition

x= x if x ≥ 0, andx= -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)
  • Example Calculation

    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

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