Math & Algebra Tool

Absolute Value Calculator

Find the distance of a number from zero on the number line.

Σ The Formula

|x|

Real World Examples

Negative Number
|-15| = 15
Positive Number
|23| = 23
Zero
|0| = 0
Decimals
|-4.56| = 4.56

# About This Calculator

The absolute value of a number is its magnitude or size, regardless of its sign (+ or -). Geometrically, it represents the distance of a number from zero on the number line.

In mathematical terms, the absolute value |x| is defined as x if x ≥ 0, and -x if x < 0. Essentially, it strips away the negative sign from a number to make it positive.

Absolute values are fundamental in calculus (defining limits and continuity), algebra (solving equations and inequalities), and any field involving measurements where the direction doesn't matter, only the "amount" (like distance, temperature changes, or financial fluctuations).

This calculator helps you quickly determine the absolute value of any real number, including fractions and decimals, helping you simplify complex math problems in seconds.

How To Use

  1. Enter any number (positive, negative, or zero).
  2. Click "Find Absolute Value".
  3. The result will always be the positive version of that number.

Frequently Asked Questions

What is the absolute value of 0?+

The absolute value of 0 is 0, as 0 is exactly zero units away from zero on a number line.

Why do we use absolute values?+

We use them whenever we care about the magnitude of a change or a distance rather than the direction. For example, if you walk 10 steps forward or 10 steps back, you've moved 10 steps in both cases.

Is absolute value the same as the modulus?+

Yes, for real numbers, 'absolute value' and 'modulus' are used interchangeably. For complex numbers, the modulus refers to the distance from the origin in the complex plane.

Is Absolute Value Calculator free to use?+

Yes, Absolute Value Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Absolute Value Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Absolute Value Calculator are accurate for academic and professional use.

Can I use Absolute Value Calculator on my phone?+

Yes! Absolute Value Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

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