Advanced Absolute Value Calculator

Advanced Absolute Value Calculator

Calculate absolute values with interactive number line and 3D visualization

🔢 Absolute Value Calculator

Enter numbers to find their absolute values

Multiple Numbers (comma-separated)

📊 Results

Absolute value calculation results

|x| = 42
Original Number -42
Distance from Zero 42 units
Sign Negative

📈 Number Line

Visual representation on number line

🎯 3D Function Graph

Interactive f(x) = |x| visualization

Drag to rotate • Scroll to zoom

Understanding Absolute Value

The absolute value of a number is its distance from zero on the number line, regardless of direction. It's always non-negative and represents the magnitude of a number without considering its sign. This concept is fundamental in mathematics and has applications in distance calculations, error analysis, and optimization problems.

Definition

|x| = x if x ≥ 0
|x| = -x if x < 0
The absolute value is always ≥ 0

Geometric Meaning

Distance from zero on the number line. |x| represents how far x is from 0, regardless of direction.

Applications

Error analysis, distance calculations, optimization, signal processing, and solving equations with absolute values.

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