## Fundamental concepts of arithmetic |

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### Contents

Fractions | 5 |

Some Intuitive Properties of the Natural Numbers | 56 |

The Nature of Mathematical Systems | 86 |

Copyright | |

6 other sections not shown

### Common terms and phrases

A C B A U B addition and multiplication additive identity additive inverse associative law base three Boolean algebra cancellation law century circle clock arithmetic closed with respect closure laws column commutative law consider convergent corresponding counting decimal define Definition denote digits Diophantus distributive law divides division divisors of zero elements equal equation equivalent Euclidean Euclidean Algorithm example EXERCISES Figure fractions given hence idea integers interpretation intersection intuitive involved law for addition law for multiplication law of trichotomy mathematical system mathematician mean multiplication tables multiplicative identity multiplicative inverse natural number system notation notion number in base number line obtain operation ordinary arithmetic place value positive rational number postulates problem proof proposition quotient reader real number remainder representation result set of natural square statement subtraction subunits Theorem three natural numbers triangle true truth table units Venn diagrams write written