 Absolute value (algebra)

An absolute value on a field is a nonnegative multiplicative function that vanishes only at zero and satisfies the triangle inequality.

In algebra, the absolute value of a number is a measure of its distance from zero on the number line, regardless of direction. The absolute value of a number is always non-negative. The absolute value is denoted by two vertical bars surrounding the number or expression. For example, the absolute value of \( x \) is written as \( |x| \).