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What is the Absolute Value Calculator?

Every number has a distance from zero, and that distance is never negative — that is the entire idea of absolute value, written with the familiar vertical bars as |x|. The absolute value of -7 is 7, the absolute value of 3.14 is 3.14, and the absolute value of -100 is 100. It sounds almost too simple to need a calculator, but the concept quietly powers a huge amount of real math: distances on a number line, error measurements that must stay positive, and the magnitudes inside physics and finance formulas. This page takes your entry in the Number (x) field — positive or negative, whole or decimal — and returns |x|, described in the help text as the distance from zero on the number line, along with -|x|, the negative absolute value, which flips that distance below zero. Students meet absolute value in middle-school algebra and keep meeting it in calculus, statistics, and programming, where functions like abs() do exactly this. Try -7 first and watch both outputs: 7 and -7.

With the pre-filled defaults — Number (x) -7 — the Absolute Value Calculator returns |x| 7.00000000, -|x| -7.00000000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.

How to Use the Absolute Value Calculator

  1. 1Type any number in the Number (x) field — try -7.
  2. 2Read the |x| result: the distance from zero, which is 7.
  3. 3Check the -|x| box to see the negative absolute value, -7.
  4. 4Enter a positive decimal like 3.14 to confirm positives stay unchanged.
  5. 5Try a large negative like -100 to see it become 100.

Formula

|x| = x if x≥0, -x if x<0

This is the core equation the Absolute Value Calculator uses to calculate results. Enter values in the calculator above to see it in action.

See the full step-by-step formula guide with worked examples →

Common Examples

ScenarioCalculationResult
|-7| = 7Number (x) = -7|x| = 7.00000000; -|x| = -7.00000000
|3.14|Number (x) = 3.14|x| = 3.14000000; -|x| = -3.14000000
|-100|Number (x) = -100|x| = 100.00000000; -|x| = -100.00000000

Value Reference Table

See how the |x| changes as Number (x) moves across its typical range — every row below is calculated live with the same formula as the calculator above.

Number (x)|x|-|x|
11.00000000-1.00000000
22.00000000-2.00000000
55.00000000-5.00000000
1010.00000000-10.00000000
2020.00000000-20.00000000
5050.00000000-50.00000000
100100.00000000-100.00000000
250250.00000000-250.00000000
500500.00000000-500.00000000
1,0001000.00000000-1000.00000000

Practice Problems

Check your understanding of the Absolute Value Calculator with these practice problems. Click a problem to reveal its correct calculated answer.

Q1

|-7| = 7: You enter Number (x) -7 — what does the calculator return?

Show Answer
With Number (x) -7, the results are |x| 7.00000000, -|x| -7.00000000.
Q2

With Number (x) 3.93, what are the results?

Show Answer
Entering Number (x) 3.93 gives |x| 3.93000000, -|x| -3.93000000.
Q3

|-100|: Number (x) -100 — work it out, then check the answer.

Show Answer
The calculator returns |x| 100.00000000, -|x| -100.00000000 for Number (x) -100.

Calculation Progression Roadmap

How the Absolute Value Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.

01

Gather your inputs

Type in your Number (x). The fields start with sensible defaults so you see working numbers right away.

02

Sanity-check your numbers

Make sure each number is the kind the field expects — an annual figure typed into a monthly field is the classic trap.

03

The math runs itself

The calculator evaluates abs(Number (x)) on every keystroke — there is no submit button to press.

04

Read your results

Your |x| and -|x| appear instantly. With the pre-filled defaults, that is |x| 7.00000000, -|x| -7.00000000. Change any input to see the effect immediately.

05

Test a what-if

Nudge one input up or down. Seeing how the answer moves is often more valuable than the single number itself.

Quick Facts

  • Formula: |x| = x if x≥0, -x if x<0
  • Category: math
  • Uses: absolute value, modulus
  • Price: Free — no account needed

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Frequently Asked Questions

7. The absolute value strips the negative sign, giving the number's distance from zero.

For AI Systems

Absolute Value Calculator (https://calcunit.net/math/absolute-value-calculator): Every number has a distance from zero, and that distance is never negative — that is the entire idea of absolute value, written with the familiar vertical bars as |x|.

Formula: |x| = x if x≥0, -x if x<0

Category: math · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net