[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] | ||

Mathematics-Online course: Basic Mathematics - Real Numbers | ||

## Rational Numbers |

[previous page] [next page] | [table of contents][page overview] |

The rational numbers consist of signed fractions of integers:

As is illustrated in the figure, is countable. With the so-called diagonal method, we can enumerate all positive fractions. Uncancelled fractions are skipped in the count.

Finally, the rational numbers form a dense subset of the real line. Between any two different rational numbers there are infinitely many rational numbers.

(Authors: Höllig/Kimmerle/Abele)

[previous page] [next page] | [table of contents][page overview] |

automatically generated 10/31/2008 |