Algebra Know-It-ALL

Preface xiii

Acknowledgment xiv

Part 1 Numbers, Sets, and Operations

1 Counting Methods 3

Fingers and Sticks 3

Roman Numerals 6

Hindu-Arabic Numerals 8

The Counting Base 11

Practice Exercises 17

2 The Language of Sets 19

The Concept of a Set 19

How Sets Relate 22

Set Intersection 27

Set Union 30

Practice Exercises 33

3 Natural Numbers and Integers 35

How Natural Numbers are Made 35

Special Natural Numbers 38

Natural Number Nontrivia 42

The Integers 45

Practice Exercises 49

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Contents

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