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Absolute Value Calculator

Return the non-negative magnitude |x| of any real input.

Clear formulas
Educational steps
Detail breakdown

|x| = x for x ≥ 0; |x| = −x for x < 0.

Limitation: Educational arithmetic—not vector norms or complex modulus.

Jump to calculator · Sources & review

How to Use the Absolute Value Calculator

|x| = x for x ≥ 0; |x| = −x for x < 0.

1

Open the Abs Value calculator and read field labels.

Match the mode

Educational arithmetic—not vector norms or complex modulus.

What It Calculates

|x| = x for x ≥ 0; |x| = −x for x < 0.

Worked Examples

|-7.5|

Inputs

value:-7.5

Result

7.5

Flip sign.

|0|

Inputs

value:0

Result

0

Zero magnitude.

|12|

Inputs

value:12

Result

12

Already non-negative.

Check your mode

Educational arithmetic—not vector norms or complex modulus.

Frequently Asked Questions

Yes. Results keep the precision shown on the page unless the engine requires integers.

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Formulas

Standard definitions with assumptions noted below.

Formula

x
​=​ max​(​x, −x​)​

Scientific Background

Standard core definitions with assumptions stated on-page. Educational only—not professional certification.

Sources & review

Absolute Value Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

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