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