Absolute Value Calculator
Choose the absolute value of one number or the distance between two points on a number line. Two-point mode also preserves the signed difference from the first point to the second.
How to use this calculator
Enter a calculation mode and either one finite real number or two finite real-number points.
Review the numeric sign, decimal entry, finite-value requirement, and the intended real-number domain.
Read the nonnegative absolute value, or the point distance and signed difference.
Formula
|x| = x when x ≥ 0 and −x when x < 0. For points A and B, signed difference = B − A and distance = |B − A|.
Worked example
For points −3 and 5, the signed difference is 5 − (−3) = 8 and the distance is |8| = 8.
Assumptions and limits
- Inputs are evaluated as finite real numbers; symbolic expressions, equations, inequalities, coordinate-plane distance, and complex values are not supported.
- Absolute Value Calculator treats the entered values as estimates and does not infer missing project, account, or personal details.
- Calculations retain working precision except where the cited method requires an intermediate rounding step; displayed values are then formatted separately. Source rules and dated rates must be rechecked when they change.
Sources
- OpenStax: College Algebra 2eAlgebraic, ratio, radical, equation, and function formulas. Reviewed 2026-08-14.
- OpenStax: Elementary Algebra 2eOfficial formula or method source used by this calculator. Reviewed 2026-08-14.
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Verification
How this calculator is checked
Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.
- Versioned calculationFormula logic is kept separate from the interface and covered by automated registry and behavior checks.
- Cited evidenceSources linked for independent checking: 2.
- Transparent AI useAI may assist drafting or adversarial review. Agreement between models is not proof, and no human expert review is claimed unless a named reviewer is shown.
Frequently asked questions
How does the Absolute Value Calculator work?
|x| = x when x ≥ 0 and −x when x < 0. For points A and B, signed difference = B − A and distance = |B − A|.
What information should I enter in the Absolute Value Calculator?
Enter a calculation mode and either one finite real number or two finite real-number points, then verify the numeric sign, decimal entry, finite-value requirement, and the intended real-number domain.
What should I verify before using this Absolute Value Calculator result?
Inputs are evaluated as finite real numbers; symbolic expressions, equations, inequalities, coordinate-plane distance, and complex values are not supported.
Last updated 2026-08-25 · number-or-two-point-distance-v2 · content-2026-08-14 · Published by YunFanLabs