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Absolute Value Calculator

Calculate the absolute value of any real number and understand it as distance from zero.

Complete User Guide

Step 1: Enter any number (negative, positive, zero, or decimal).

Step 2: Click Calculate Absolute Value.

Step 3: Read the main result to see |x|.

Step 4: Check the supporting cards for the original number, sign category, and distance from zero.

Step 5: Try a quick example chip to calculate another value instantly.

The Mathematical Formula
|x| = x if x ≥ 0, and |x| = -x if x < 0

Absolute value is defined as: - |x| = x when x ≥ 0 - |x| = -x when x < 0

So absolute value always returns a non-negative magnitude. On a number line, |x| is the distance from x to 0. This same idea is used for differences such as distance between two points: |a - b|.

About Absolute Value Calculator

The Absolute Value Calculator helps you measure magnitude without direction. It converts any real number into its distance from zero, so positive and negative versions of the same number produce the same result.

Absolute value is used across algebra, geometry, statistics, and everyday problem solving. It is useful whenever only size matters, such as error size, distance, tolerance ranges, and the difference between two values.

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