# Absolute Value Calculator Calculate the absolute value of positive, negative, or decimal numbers and explain the sign relationship > Canonical page: https://elysiatools.com/en/tools/absolute-value-calculator - **Category:** Math & Numbers - **Keywords:** absolute value, calculator, magnitude, distance from zero ## Overview The Absolute Value Calculator instantly determines the non-negative magnitude of any positive, negative, or decimal number. It calculates the exact distance of a number from zero on the number line, providing clear structured outputs that include the absolute value, the original sign, and the distance from zero, with customizable decimal precision. ## Inputs - **Number Input** (text): e.g. -15.75 - **Decimal Places** (number) ## When to use - When you need to find the non-negative magnitude of a negative number for mathematical equations. - When calculating the physical distance or difference between two points where negative values are not applicable. - When standardizing datasets that contain mixed positive and negative values into absolute magnitudes. ## How it works - Enter a positive, negative, or decimal number into the input field. - Specify the desired number of decimal places for the output (between 0 and 12). - The calculator processes the input and removes any negative sign to determine its magnitude. - Review the generated JSON output, which displays the absolute value, original sign, and distance from zero. ## Use cases - Converting negative financial variances into absolute magnitudes for reporting. - Calculating physical distances or tolerances in engineering where direction is irrelevant. - Teaching or learning basic algebra concepts related to number lines and magnitudes. ## Frequently asked questions ### What is an absolute value? The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative number. ### Can this calculator handle decimals? Yes, you can input decimal numbers and configure the output precision up to 12 decimal places. ### What happens if I input a positive number? The absolute value of a positive number is the number itself. The calculator will return the same value and identify the original sign as positive. ### What does the 'distance from zero' mean in the output? It represents the exact numerical distance between your input and zero on a number line, which is mathematically identical to the absolute value. ### Is the output format structured? Yes, the tool returns a structured JSON object containing the absolute value, the original sign, and the distance from zero. ## Related tools - [Adjusted R-Squared Calculator](https://elysiatools.com/en/tools/adjusted-r-squared-calculator): Calculate adjusted R squared from R squared, sample size, and predictor count - [Air Changes per Hour (ACH, n = Q/V)](https://elysiatools.com/en/tools/air-changes-per-hour): Compute the air change rate (ACH / n) of a room from the outdoor supply airflow Q and the room volume V: n = Q/V (1/h). Three modes: solve ACH (given Q and V), solve airflow (given n and V), or solve volume (given n and Q). Flow in m³/s/m³/h/CFM, volume in m³/ft³/L. 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