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Absolute Value Calculator

Math Calculators

|x| — absolute value of any number

Quick Answer

Absolute Value Calculator: |x| — absolute value of any number. Absolute Value Calculator uses standard math formulas to compute accurate results instantly.

|-7.5|
7.5
Opposite7.5
x²56.25
√(x²) = |x|7.5
Sign−

Calculation steps

  1. 1-7.5 < 0, so |-7.5| = −(-7.5) = 7.5
  2. 2Definition: |x| = x if x ≥ 0; |x| = −x if x < 0. It equals the distance from x to 0 on the number line.
💡 Key properties: |x| ≥ 0; |x·y| = |x|·|y|; |x+y| ≤ |x|+|y| (triangle inequality); √(x²) = |x| (NOT just x — this is a common exam trap!).

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How to Use

  1. Enter values or expressions: type directly into the Absolute Value Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Absolute Value Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: |x| — absolute value of any number.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Absolute Value Calculator formula

Absolute Value Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the Absolute Value Calculator?
Open the page and fill in the input fields — results update automatically. |x| — absolute value of any number.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Absolute Value Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/absolute

Results provided by this tool are for reference only and do not constitute professional advice.