Difference between revisions of "Irrational number"
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| − | An '''irrational number''' is a number that when expressed in decimal notation, never terminates nor repeats | + | An '''irrational number''' is a [[real number]] that cannot be expressed as the [[ratio]] of two [[integer]]s. Equivalently, an irrational number, when expressed in [[decimal notation]], never terminates nor repeats. Examples are <math>\pi, \sqrt{2}, e, \sqrt{32134},</math> etc. |
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| + | Because the [[rational number]]s are [[countable]] while the reals are [[uncountable]], one can say that the irrational numbers make up "almost all" of the real numbers. | ||
Revision as of 13:09, 23 June 2006
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 
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.
