## Numbers: rational and irrational |

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### Contents

Introduction | 3 |

Natural Numbers and Integers | 9 |

Rational Numbers | 21 |

Copyright | |

9 other sections not shown

### Common terms and phrases

algebraic number angle Appendix approximation assertion Chapter closed under addition common logarithms contradiction Corollary countable countable set cube decimal expansion decimal representation denominator denote digit divisible equation of degree equation with integer establish example factored into primes false form 2n Fundamental Theorem geometry given Hence inequalities of Theorem infinite decimal infinitely many rational integer coefficients interval irrational number irrationality line segment logarithms lowest terms mathematical mathematical proof method natural number negative notation number of degree numbers a/b obtain odd integers positive integer positive numbers possible rational roots prime factors prime numbers Problem Set quotient rational fraction a/b rational numbers m/n reader real numbers result satisfy the inequalities segment of length squaring the circle statement straightedge and compass subtraction symbols terminating decimal Theorem 6.5 Theorem of Arithmetic transcendental numbers trigonometric functions trisection true V3 is irrational whole numbers write written zero