Numbers: Rational and IrrationalSelf-study guide on the classification of numbers and the standards used to determine whether a number is rational or irrational. |
Contents
Introduction | 3 |
Chapter | 4 |
Natural Numbers and Integers | 9 |
Copyright | |
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a/b in lowest algebraic number angle Appendix approximations assertion b₁ Chapter closed under addition construction contradiction countable decimal representation deduce denominator denote divisor of 35 equation with integer establish example factored into primes false form 3n form a/d Fundamental Theorem geometry given Hence I₁ indirect proof inequalities of Theorem infinite decimal infinitely many rational integer coefficients irrational numbers line segment lowest terms mathematical mathematical proof method natural number negative non-terminating notation number of degree number system numbers a/b obtain odd integers p₁ positive integer prime factors prime numbers Problem Set proposition prove quotient rational fraction a/b rational numbers m/n reader real numbers result satisfy the inequalities segment of length square squaring the circle statement straightedge and compass symbols Theorem 6.5 Theorem of Arithmetic transcendental numbers trigonometric functions trisection true values whole numbers write written zero