Zero to Infinity: A History of Numbers

The Commonplace Chaos among Real Numbers (1x10)

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Rational and irrational numbers have a defining difference that leads us to an intuitive and correct conclusion, and to a new understanding about how common rationals and irrationals really are. Examining random base-10 real numbers introduces us to "normal" numbers and shows that "almost all" real numbers are normal and "almost all" real numbers are, in fact, irrational.