# 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.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## 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*+ i

*y*| = √(

*x*

^{2}+

*y*

^{2}), so | 4 + 3i | = 5

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## 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]

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## 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® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Noun | 1. | absolute value - a real number regardless of its signdefinite quantity - a specific measure of amount modulus - the absolute value of a complex number |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

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