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Abs Value Calculator

Absolute Value Calculator works out Absolute value and Rounded absolute value from What to calculate, Value and Compare with. The default figures on this page give absolute value of 7.5; change any entry and the result, the working and the sources update together.

Absolute value
7.5
Absolute Value Calculator
Rounded absolute value
7.5
Expression
|-7.5| = 7.5
Sign of the input
-1
Signed value
-7.5
First solution
7.5
Solution
7.5
Has a solution?
Yes
Worked out from NIST Digital Library of Mathematical Functions, 1.2 Elementary Algebra (absolute value and the triangle inequality) and 1 other source.

Your figures

Updates as you type
The number itself, or the value of x when evaluating an expression.
Absolute difference is |value - this|. Leave at 0 for a plain absolute value.

How this is worked out

1 step
  1. -7.5 is negative, so |-7.5| = -(-7.5) = 7.5.

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

2 sources
Sullivan, Algebra & Trigonometry, Appendix A.1 and Section 1.6 (equations and inequalities involving absolute value)
10th edition, 2016

What the Absolute Value Calculator calculates

Evaluates absolute values and absolute differences, evaluates |ax + b| at a point, solves absolute-value equations by splitting the two sign cases, and solves absolute-value inequalities into an interval.

How to use this Absolute Value Calculator

Enter What to calculate, Value, Compare with and Coefficient a (of x). Absolute value updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Absolute value, Rounded absolute value and Expression.

The method follows NIST Digital Library of Mathematical Functions, 1.2 Elementary Algebra (absolute value and the triangle inequality) and Sullivan, Algebra & Trigonometry, Appendix A.1 and Section 1.6 (equations and inequalities involving absolute value).

Absolute value of -7.5 example

With What to calculate: value, Value: -7.5, Compare with: 0, the calculator returns Absolute value: 7.5, Sign of the input: -1. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Absolute value, Rounded absolute value and Expression. The inputs you can vary are What to calculate, Value, Compare with, Coefficient a (of x), Constant b and Right-hand side c.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

How to do absolute on a calculator?

Evaluates absolute values and absolute differences, evaluates |ax + b| at a point, solves absolute-value equations by splitting the two sign cases, and solves absolute-value inequalities into an interval. Open “How this is worked out” beside the result to see each step for your own figures.

How do you calculate an absolute?

It needs What to calculate, Value, Compare with, Coefficient a (of x), Constant b and Right-hand side c. Nothing else is required, and the figures stay in your browser.

What is the absolute value of 25?

On the figures this page opens with — value -7.5 and compare with 0 — the absolute value is 7.5. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

What's the absolute value of |- 2?

Evaluates absolute values and absolute differences, evaluates |ax + b| at a point, solves absolute-value equations by splitting the two sign cases, and solves absolute-value inequalities into an interval. On this page it is computed from What to calculate, Value and Compare with and shown as Absolute value, Rounded absolute value and Expression.

What information do I need for the Absolute Value Calculator?

You need What to calculate, Value, Compare with, Coefficient a (of x), Constant b, Right-hand side c, Comparison and Decimal places. The page opens with default figures that give absolute value of 7.5, so you can see the scale before entering your own.

What does this Absolute Value Calculator show?

It shows Absolute value, Rounded absolute value, Expression, Sign of the input, Signed value, First solution, Second solution and Solution, with the working and any warnings for your entries.

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