## Most recent change of RealNumber

Edit made on March 19, 2013 by RiderOfGiraffes at 14:49:32

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WW

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HEADERS_END

The "Real Numbers" are all the "locations" on the number line.

IMG:Realnumberline1.png

There are the rational numbers and the irrational numbers.

Interestingly, between every pair of rational numbers there are infinitely many irrational numbers,

and between every pair of irrational numbers there are infinitely many rational numbers.

The real numbers can be counter-intuitive.

The reals can be constructed via

* Cauchy Sequences

* Cauchy Sequences (via Equivalence Classes)

* Dedekind Cuts

* Infinite decimal expansions

* Infinite decimal expansions (via Equivalence Classes)

* Continued Fractions