Absolute Value Calculator
Calculate absolute values with step-by-step solutions and visualizations
Absolute Value Input
Absolute Value Formula
|x| = x if x ≥ 0, -x if x < 0
Where:
- |x| represents the absolute value of x
- x is the original number
- The absolute value is always non-negative
How to Use This Calculator
Enter any real number (positive, negative, or zero) to calculate its absolute value.
The calculator will compute:
- Original Number – The number you entered
- Absolute Value – The non-negative value of the number
- Step-by-Step Solution – How the absolute value was calculated
Examples:
|5| = 5 (positive numbers remain the same)
|-5| = 5 (negative numbers become positive)
|0| = 0 (zero remains zero)
Absolute Value Results
Original Number
–
Absolute Value
–
Number Line Visualization
Calculation Steps
Enter a number to see detailed calculation steps
What is Absolute Value?
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.
For example:
- The absolute value of 5 is 5 (distance of 5 units from zero)
- The absolute value of -5 is also 5 (distance of 5 units from zero)
- The absolute value of 0 is 0 (no distance from zero)