What does absolute value mean?

Definitions for absolute value
ab·so·lute val·ue

This dictionary definitions page includes all the possible meanings, example usage and translations of the word absolute value.

Princeton's WordNet

  1. absolute value, numerical valuenoun

    a real number regardless of its sign

Wiktionary

  1. absolute valuenoun

    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.

  2. absolute valuenoun

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

Wikipedia

  1. Absolute value

    In mathematics, the absolute value or modulus of a real number x {\displaystyle x} , denoted | x | {\displaystyle |x|} , is the non-negative value of x {\displaystyle x} without regard to its sign. Namely, | x | = x {\displaystyle |x|=x} if x {\displaystyle x} is a positive number, and | x | = − x {\displaystyle |x|=-x} if x {\displaystyle x} is negative (in which case negating x {\displaystyle x} makes − x {\displaystyle -x} positive), and | 0 | = 0 {\displaystyle |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.

ChatGPT

  1. absolute value

    Absolute value refers to the non-negative value of a real number without considering its sign. It is the distance of a number from zero on the number line. The absolute value of a number is denoted by two vertical bars on either side of the number. For example, the absolute value of -5 or |-5| is 5 and the absolute value of 3 or |3| is also 3.

Wikidata

  1. 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.

Suggested Resources

  1. absolute value

    The absolute value symbol -- In this Symbols.com article you will learn about the meaning of the absolute value symbol and its characteristic.

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Numerology

  1. Chaldean Numerology

    The numerical value of absolute value in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of absolute value in Pythagorean Numerology is: 3

Examples of absolute value in a Sentence

  1. Ryan Pack:

    You don't want to be equal to your enemies, you don't want to be less than your enemies, you want to be enough times greater to conquer the sum total, the absolute value, of your enemies.

  2. Pope Francis:

    The commandment 'Thou shalt not kill' has absolute value and applies to both the innocent and the guilty.

  3. Link Starbureiy:

    Energy is the single thing of absolute value created in the Universe.

  4. Ryan Pack:

    God: God created the world, God knew the sum total, he knew the absolute value, of how the world was going to be, God does minimal to nothing to stop the malice, injustices, and cruelty. God rejects justice meaning he doesn't properly and appropriately penalize those who deserve to be punished and he doesn't protect and defend those who deserve to be secured. When I look at these harsh realities, my rational thinking activates, and makes me believe that God is pure evil.


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"absolute value." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/absolute+value>.

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