Absolute Value Calculator

Enter a number to find its absolute value.

Optional. Gives the distance between the two numbers.

This result is an estimate only. Double-check important figures before relying on them.

How it is calculated

  • |a| = a if a is zero or positive, and −a if a is negative
  • Distance between a and b = |a − b|

For the size of a complex number or a vector, use the vector magnitude calculator.

Worked example

  • |−7.5| = 7.5
  • Distance between 3 and 10 = |3 − 10| = 7

Why your number may differ

Absolute value is exact for any number you enter. The result is shown to 6 decimal places.

Frequently asked questions

What is absolute value?

The distance of a number from zero, always positive or zero. |−7.5| = 7.5 and |7.5| = 7.5.

How do I find the distance between two numbers?

Subtract one from the other and take the absolute value: |a − b|. The distance between 3 and 10 is 7.

Is absolute value the same as the modulus?

Yes. For real numbers the two words mean the same.