Karl Jones: /* See also */

2016-12-13T17:44:57Z

‎See also

Karl Jones: /* External links */

2016-04-24T19:04:18Z

‎External links

Karl Jones: Created page with "In mathematics, a '''rational number''' is any number that can be expressed as the quotient or fraction ''p/q'' of two Integer|integer..."

2016-03-08T04:06:56Z

Created page with "In mathematics, a '''rational number''' is any number that can be expressed as the quotient or fraction ''p/q'' of two Integer|integer..."

New page

In [[mathematics]], a '''rational number''' is any [[number]] that can be expressed as the [[quotient]] or [[Fraction (mathematics)|fraction]] ''p/q'' of two [[Integer|integers]], a [[numerator]] ''p'' and a non-zero [[denominator]] ''q''.

== Description ==

Since ''q'' may be equal to 1, every [[integer]] is a rational number.

The set of all rational numbers is usually denoted by a boldface Q (or blackboard bold \mathbb{Q}, Unicode ℚ); it was thus denoted in 1895 by [[Giuseppe Peano|Peano]] after ''quoziente'', Italian for "quotient".

The [[decimal representation]] of a rational number always either terminates after a finite number of digits, or begins to repeat the same finite sequence of digits over and over.

Conversely, any repeating or terminating decimal represents a rational number.

These statements hold true not just for base 10, but also for any other integer base (e.g. [[binary]], [[hexadecimal]]).

== Irrational numbers ==

A real number that is not rational is called an [[irrational number]], or simply ''irrational''.

The decimal expansion of an irrational number continues without repeating.

Irrational numbers include √2, π, e, and φ.

== See also ==

* [[Decimal representation]]
* [[Integer]]
* [[Mathematics]]
* [[Number]]

== External links ==

* [https://en.wikipedia.org/wiki/Rational_number Rational number] @ Wikipedia

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 * [[Decimal representation]]
 * [[Integer]]
 * [[Mathematics]]
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 ==  External links ==

Rational number - Revision history

Karl Jones: /* See also */

Karl Jones: /* External links */

Karl Jones: Created page with "In mathematics, a '''rational number''' is any number that can be expressed as the quotient or fraction ''p/q'' of two Integer|integer..."