## Number Systems: A Modern Introduction |

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### Contents

Mathematical Reasoning and Creativity 1 Introduction | 1 |

Inductive reasoning | 2 |

Deductive reasoning | 5 |

Copyright | |

79 other sections not shown

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### Common terms and phrases

a o x Abelian group additive identity additive inverse arithmetic mod arithmetic numbers associative law base calculation casting out nines commutative law considered corresponds decimal numerals decimal point deductive reasoning defined definition digit symbols distributive law element equation equivalence class equivalence relation example expanded numeral fractional numeral fractional symbols illustrated isomorphic large number law of addition ln fact ln other words mathematical system metic modular arithmetics multiplicative identity multiplicative inverse named natural numbers negative integer negative number notation number system numbers of arithmetic obtained odd numbers operation ordered pairs ordinary arithmetic pairs of whole partial quotient polygon positive integers prime factorization prime number probability proof properties Prove Theorem rational numbers real numbers remainder replacement set result Review Practice Exercises REVlEW PRACTlCE EXERClSES ring scientific notation set of whole solution set square root subtraction symbols represent Theorem lll tion triangle true whole numbers