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Algebra

Absolute Value Calculator

Compute the absolute value of any expression. Free online Absolute Value Calculator for algebra — instant, accurate results, mobile-friendly, no signup needed.

Absolute value |x|
5

Derivation

  1. ├── 01Givenx = -5
  2. ├── 02Formula|t|
  3. └── 03Compute Absolute value |x|5
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§01What is

Understanding the Absolute Value Calculator

The Absolute Value Calculator computes Absolute value |x| from 1 input: number. Compute the absolute value of any expression.

Algebra is the art of solving for the unknown. Rearranging a formula to isolate the variable you actually need is the single most common real-world math skill — and doing it with real numbers under time pressure is where errors happen. The Absolute Value Calculator sits in that toolkit — it compute the absolute value of any expression. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

|t|

Where

x
Number
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Number = -5.

  1. 01Start by noting the input — Number: -5.
  2. 02Substitute these values into the formula: |t|
  3. 03Compute Absolute value |x|: the calculator returns 5.
  4. 04Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Absolute Value Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Number halved

x = -2.5 (from -5)

Keep every other input at its default and halve the number. See how absolute value |x| responds.

  1. 01New Number: -2.5
  2. 02Baseline Absolute value |x|: 5
  3. 03New Absolute value |x|: 2.5
  4. 04Absolute value |x| decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Number doubled

x = -10 (from -5)

Keep every other input at its default and double the number. See how absolute value |x| responds.

  1. 01New Number: -10
  2. 02Baseline Absolute value |x|: 5
  3. 03New Absolute value |x|: 10
  4. 04Absolute value |x| increases by 100% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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