# Definitions for **absolute value**

### This page provides all possible meanings and translations of the word **absolute value**

### Random House Webster's College Dictionary

ab′solute val′ue(n.)

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 蜹3蜹 or 蜹−3蜹 is three.

the square root of the sum of the squares of the real and imaginary parts of a given complex number.

**Ref:**Also called modulus.

#### Origin of **absolute value**:

1905–10

### Princeton's WordNet

absolute value, numerical value(noun)

a real number regardless of its sign

### Wiktionary

absolute value(Noun)

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.

absolute value(Noun)

For a complex number, the square root of the sum of the squares of its real and imaginary parts.

### Freebase

Absolute value

In mathematics, the absolute value | x | of a real number x is the non-negative value of x without regard to its sign. Namely, | x | = x for a positive x, | x | = −x for a negative x, and | 0 | = 0. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero. Generalisations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.

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"absolute value." *Definitions.net.* STANDS4 LLC, 2014. Web. 29 Aug. 2014. <http://www.definitions.net/definition/absolute value>.