# ALL meanings of absolute value

ab·so·lute val·ue

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*noun*absolute value the positive real number equal to a given real but disregarding its sign. Written | x |. Where r is positive, | r | = r = | –r | 3 -
*noun*absolute value a measure of the magnitude of a complex number, represented by the length of a line in the Argand diagram: |x + iy | = √(x2 + y2), so | 4 + 3i | = 5 3 -
*noun*absolute value the magnitude of a real number, disregarding its positive or negative sign 3 -
*noun*absolute value the magnitude of a complex number; modulus 3 -
*noun*absolute value Also called**numerical value**. the magnitude of a quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |3| or |−3| is equal to 3. 2 -
*noun*absolute value the square root of the sum of the squares of the real and imaginary parts of a given complex number, as |a + b i | is equal to . 1 -
*noun*absolute value numerical value of a number 1 -
*noun*absolute value (mathematics) For a real number, its numerical value without regard to its sign; formally, -1 times the number if the number is negative, and the number unmodified if it is zero or positive; the distance of a quantity from zero on a number line. 0 -
*noun*absolute value (mathematics) For a complex number, the square root of the sum of the squares of its real and imaginary parts. 0