# absolute value

### noun Mathematics.

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.

the square root of the sum of the squares of the real and imaginary parts of a given complex number, as |a + bi| is equal to .

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## Nearby words

## Origin of absolute value

First recorded in 1905–10

Also called modulus.

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## British Dictionary definitions for absolute value

## absolute value

### noun maths

the positive real number equal to a given real but disregarding its sign. Written | x |. Where r is positive, | r | = r = | – r |

Also called: modulus a measure of the magnitude of a complex number, represented by the length of a line in the Argand diagram: | x + i y | = √(x ² + y ²), so | 4 + 3i | = 5

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Science definitions for absolute value

## 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.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.