Tag: Rational numbers

• What Is a Number? From the Naturals to the Reals, and Why 1 = 0.999… Is TrueFollows the extension from the naturals to the reals through unsolvable equations, proves that the rationals have gaps, and derives 1 = 0.999… three ways from the completeness axiom.MathematicsFoundations of MathematicsUndergraduateReal numbersRational numbersIrrational numbersCompletenessInfinite decimals~15 min