# absolute value

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## absolute value

n.
1. The numerical value of a real number without regard to its sign. For example, the absolute value of -4 (written │-4│) is 4. Also called numerical value.
2. The modulus of a complex number, equal to the square root of the sum of the squares of the real and imaginary components of the number.

## absolute value

n
1. (Mathematics) the positive real number equal to a given real but disregarding its sign. Written | x |. Where r is positive, | r | = r = | –r |
2. (Mathematics) Also called: modulus 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

## ab′solute val′ue

n.
1. 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 three.
2. the square root of the sum of the squares of the real and imaginary parts of a given complex number. Also called modulus.
[1905–10]

## absolute value

The value of a number without regard to its sign. For example, the absolute value of +3 (written │+3│) and the absolute value of -3 (written │-3│) are both 3.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 absolute value - a real number regardless of its signnumerical valuedefinite quantity - a specific measure of amountmodulus - the absolute value of a complex number
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