Free Absolute Value Calculator: Find the Magnitude of Any Real Number
Enter any real number, hit “Calculate”, and the tool returns its distance from zero—always a non-negative result. Formula: $$|x|=sqrt{x^{2}}$$. Example: |−9.81| → 9.81. Absolute value concepts appear in 42 % of grade-8 TIMSS algebra tasks (IEA, 2020).
Absolute Value Calculator
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How to use the tool
Enter a number: Type any real value, e.g., -9.81 or 112.4.
Click “Calculate Absolute Value”: The script runs Math.abs() in your browser.
Read the result: The magnitude appears with two-decimal precision, hiding any sign.
Formula behind the button
The calculator implements the standard definition $$|x| = rac{|x|}{1}= \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x<0 \end{cases}$$ (ISO 80000-2, 2019).
Example calculations
Input: -9.81 → Output: 9.81
Input: 4 → Output: 4.00
Quick-Facts
Notation |x| defined in ISO 80000-2:2019 (ISO, 2019).
Distance has no direction, so |x| ≥ 0 for all real x (NIST DLMF, 2022).
Tool rounds to two decimals using Number.toFixed(2) (Mozilla Docs, 2023).
Accessible form elements meet WCAG 2.1 success criterion 3.3.2 (W3C, 2018).
FAQ
What is absolute value?
Absolute value is a number’s distance from zero on the real line; distance cannot be negative (NIST DLMF, 2022).
Why does the calculator never return a negative result?
Because Math.abs() multiplies negative inputs by −1, ensuring |x| ≥ 0 as required by ISO 80000-2 (ISO, 2019).
How are results rounded?
The script applies .toFixed(2), producing two digits after the decimal for readability (Mozilla Docs, 2023).
Will large numbers appear in scientific notation?
Yes—inputs beyond 1 × 1021 display in exponential form per ECMAScript numeric formatting (ECMA-262, 2023).
Can I enter a fraction like -3/4?
Convert the fraction to decimal (-0.75) before entry; the calculator then returns 0.75.
Does the tool validate non-numeric input?
The HTML number field blocks letters; script displays “Please enter a valid number” if parsing fails.
Which browsers are supported?
All modern browsers that implement ECMAScript 2023, including Chrome 117, Firefox 117, Safari 17, and Edge 117.
Is this calculator classroom-ready?
Yes; its free, no-login interface lets students verify homework quickly, aligning with grade-7 Common Core standards (CCSS, 2020).
Important Disclaimer
The calculations, results, and content provided by our tools are not guaranteed to be accurate, complete, or reliable. Users are responsible for verifying and interpreting the results. Our content and tools may contain errors, biases, or inconsistencies. We reserve the right to save inputs and outputs from our tools for the purposes of error debugging, bias identification, and performance improvement. External companies providing AI models used in our tools may also save and process data in accordance with their own policies. By using our tools, you consent to this data collection and processing. We reserve the right to limit the usage of our tools based on current usability factors. By using our tools, you acknowledge that you have read, understood, and agreed to this disclaimer. You accept the inherent risks and limitations associated with the use of our tools and services.
