## A Structural Approach to Arithmetic |

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### Contents

Sets and Their Properties | 3 |

Numeration Systems | 49 |

Addition of Cardinal Numbers | 69 |

Copyright | |

18 other sections not shown

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### Common terms and phrases

additive identity additive inverse algorithm arithmetic base sets base six cancellation property cardinal numbers Cartesian product Chapter concept consider correspondence decimal numerals defined Definition 16-1 denominator denoted determine digits discussed disjoint elements equality equivalence classes equivalence relation example EXERCISE SET exist expanded form fact Figure finite sets graph Hence identity element illustrate inequality infinite repeating decimals isomorphism listed mathematical method multiplicative identity multiplicative inverse natural numbers non-zero notation number line number sentences number system obtain order relation ordered pairs positive integer positive rational number possible Proof property of addition prove quotient real numbers relatively prime represent rules of signs set of cardinals set of integers set of rationals solution set statement Step student subset symbol system of cardinal system of integers terminating decimals Trichotomy Property true unique Venn diagrams write yields zero