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Absolute Value

The absolute value of a number represents its distance from zero, and is defined as the non-negative value of that number without regard to its sign. For a positive number x, the absolute value is x, and for a negative number x it is the negative of x, which is a positive number. The absolute value generalizes the concept of distance from zero to other mathematical structures like complex numbers and vector spaces.

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66 views1 page

Absolute Value

The absolute value of a number represents its distance from zero, and is defined as the non-negative value of that number without regard to its sign. For a positive number x, the absolute value is x, and for a negative number x it is the negative of x, which is a positive number. The absolute value generalizes the concept of distance from zero to other mathematical structures like complex numbers and vector spaces.

Uploaded by

Marvi Navarro
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Absolute value

The absolute value of a number may be thought of as


its distance from zero.

|x| of a real number x is the non-negative value


of xwithout regard to its sign. Namely, |x| = x for a positive x, |x| = x for
a negative x (in which case x is positive), and |0| = 0. For example, the absolute value
In mathematics, the absolute value or modulus

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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