|42| = 42
The absolute value of 42 is 42.
The absolute value function returns the non-negative value of a number without regard to its sign. This calculator computes the absolute value (magnitude) of any real number, providing instant and accurate results for mathematical, scientific, and engineering applications.
Mathematical Explanation
The absolute value of a number x, denoted |x|, is defined as the distance from zero on the number line. Mathematically, |x| = x if x ≥ 0, and |x| = -x if x < 0. The absolute value is always non-negative and represents the magnitude of a number.
Frequently Asked Questions
Absolute value is the non-negative value of a number without regard to its sign. It represents the distance from zero on the number line. For example, |−5| = 5 and |5| = 5.
The absolute value of zero is zero: |0| = 0. Zero is neither positive nor negative, and its distance from itself is zero.
No, the absolute value is always non-negative (greater than or equal to zero). Even the absolute value of a negative number is positive.
For positive numbers and zero, the absolute value is the number itself. For negative numbers, remove the negative sign to get the absolute value. For example, |−7| = 7 and |7| = 7.
The absolute value is denoted by two vertical bars surrounding the number: |x|. This notation is used in mathematics to indicate the magnitude of a number.
Resources & References
Encyclopedia Resources
- Absolute Value - Wikipedia - Comprehensive guide to absolute value and its properties
- Number Line - Wikipedia - Learn about the number line and distance from zero
Educational Resources
- Khan Academy - Absolute Value - Free absolute value lessons and practice problems
- Math is Fun - Absolute Value - Interactive absolute value examples and explanations