📐Absolute Value Calculator

Calculate the absolute value and sign of any integer, decimal, or fraction.

How to Use the Absolute Value Calculator

The Absolute Value Calculator finds the absolute value and sign of any integer, decimal, or fraction. Absolute value represents the distance of a number from zero on the number line — it is always zero or positive regardless of the original sign.

Select Integer/Decimal to enter a single number, or select Fraction to enter a numerator and denominator separately. The result shows both the absolute value and whether the number is positive, negative, or zero.

Definition and Formula

|x| = x when x ≥ 0; |x| = −x when x < 0. Examples: |−7.5| = 7.5, |3/4| = 3/4 = 0.75, |0| = 0. The absolute value of a − b gives the distance between a and b on the number line.

Frequently Asked Questions

Why is absolute value always non-negative?

Absolute value measures distance, which cannot be negative. The sign of the original number is removed, leaving only its magnitude.

Can I enter a fraction as a decimal instead?

Yes. −3/4 = −0.75. You can enter either form and get the same absolute value of 0.75.

What is |−0|?

|−0| = 0. Zero has no sign and its absolute value is 0.