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

 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.
One way of dividing the real numbers is:

The real numbers can be counter-intuitive.

The reals can be constructed via

A4Paper
ApproximatingPi
Denominator
DividingRationalNumbers
ImproperFraction
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Numerator
PiIsIrrational
ReducingFractionsToLowestTerms
SubtractingRationalNumbers
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EIsIrrational
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RootTwoIsIrrational
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RealNumber
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Denominator
GeneralSequence
Integer
Numerator
Polynomial
Pythagoras
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RootTwoIsIrrational
SquareRoot
WholeNumber
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