Absolute Value Calculator

Name: Absolute Value Calculator
Author: Jitendra Kumar

Calculate absolute value, number-line distance, opposites, and common absolute value equation and inequality forms.

Last Updated: May 2026

Absolute value

Sign of input

Negative

Opposite

Distance to point

Absolute Value Inputs

Enter a number to evaluate, a target for absolute value equations, and a comparison point for number-line distance.

Value

Example: -18, 0, or 7.25.

Equation target

Used for |x| = target and inequalities.

Comparison point

Used for distance |value - point|.

Value and Distance

Metric	Calculation	Result
Absolute value	\|-18\|	18
Distance from zero	distance between -18 and 0	18
Opposite value	--18	18
Distance between two numbers	\|-18 - 5\|	23
Target match	\|-18\| = 18	Yes

Equation and Inequality Forms

Form	Meaning	Solution
\|x\| = 18	Exact distance from zero	x = -18 or x = 18
\|x\| < 18	Inside the interval	-18 < x < 18
\|x\| <= 18	Inside or on the endpoints	-18 <= x <= 18
\|x\| > 18	Outside the interval	x < -18 or x > 18
\|x\| >= 18	Outside or on the endpoints	x <= -18 or x >= 18

Math Practice Notice

This calculator is for real-number absolute value practice. It does not graph shifted functions such as |x - h| + k or solve multi-step absolute value equations.

Reviewed For Methodology, Labels, And Sources

Every CalculatorWallah calculator is published with visible update labeling, linked source references, and founder-led review of formula clarity on trust-sensitive topics. Use results as planning support, then verify institution-, policy-, or jurisdiction-specific rules where they apply.

Reviewed By

Jitendra Kumar, Founder & Editorial Standards Lead, oversees methodology standards and trust-sensitive publishing decisions.

Review editor profile

Topic Ownership

Sales tax and tax-sensitive estimate tools, Education and GPA planning calculators, Health, protein, and screening-formula pages, Platform-wide publishing standards and methodology

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Methodology & Updates

Page updated May 2026. Trust-critical pages are reviewed when official rates or rules change. Evergreen calculator guides are checked on a recurring quarterly or annual cycle depending on topic volatility.

Sources & methodology About the review process

How to Use the Absolute Value Calculator

Enter the value you want to evaluate. Add an equation target if you want solution forms for absolute value equations and inequalities.

Use the comparison point to calculate distance between two numbers with the formula |value - point|.

Step 1: Enter the value
Use a positive number, negative number, decimal, or zero.
Step 2: Set an equation target
The target controls the |x| = a and inequality solution table.
Step 3: Add a comparison point
The calculator finds the absolute difference between the value and this point.
Step 4: Review distance and solutions
Check the absolute value, opposite, target match, and equation forms.

How This Absolute Value Calculator Works

The absolute value of a real number is its distance from zero, so negative inputs become positive while positive inputs and zero stay unchanged.

Distance between two numbers uses the absolute difference formula |a - b|. Subtracting in either order gives the same distance after absolute value is applied.

For solution forms, the calculator uses the number-line meaning of distance from zero. Values inside a target distance form an interval, while values outside a target distance split into two rays.

Absolute Value Guide

Absolute Value Rules

Rule	Formula	Meaning
Positive input	\|x\| = x when x >= 0	The absolute value is the number itself.
Negative input	\|x\| = -x when x < 0	The negative sign is removed.
Zero	\|0\| = 0	Zero is zero units from itself.
Distance from zero	\|x\|	Absolute value is a number-line distance.
Distance between two numbers	\|a - b\|	The nonnegative distance between a and b.
Equation	\|x\| = a	Solutions are x = -a and x = a when a is positive.

Worked Examples

Expression	Interpretation	Result
\|-18\|	distance from -18 to 0	18
\|7.25\|	distance from 7.25 to 0	7.25
\|14 - (-6)\|	\|20\|	20
\|x\| = 9	x is 9 units from 0	x = -9 or x = 9
\|x\| < 5	inside 5 units of 0	-5 < x < 5

Number-Line Meaning

Absolute value is easiest to read as distance. The numbers -8 and 8 are different locations, but both are 8 units from zero. That is why |-8| and |8| both equal 8.

Keep the research moving with Integer Calculator, Greater Than Or Less Than Calculator, Modulo Calculator, and Scientific Calculator.