Difference between revisions of "Irrational number"

(categories)
Line 12: Line 12:
  
 
{{stub}}
 
{{stub}}
 +
 +
[[Category:Definition]]
 +
[[Category:Number theory]]

Revision as of 18:10, 25 November 2007

An irrational number is a real number that cannot be expressed as the ratio of two integers. Equivalently, an irrational number, when expressed in decimal notation, never terminates nor repeats. Examples are $\pi, \sqrt{2}, e, \sqrt{32134},$ etc.

Because the rational numbers are countable while the reals are uncountable, one can say that the irrational numbers make up "almost all" of the real numbers.


See Also


This article is a stub. Help us out by expanding it.