Fundamentals of Mathematics

by Denny Burzynski & Wade Ellis, Jr.

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This text covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: (1) have had previous courses in prealgebra, (2) wish to meet the prerequisites of higher level courses such as elementary algebra, and (3) need to review fundamental mathematical concepts and techniques

Description from LibreTexts.

Publisher
College of Southern Nevada
Subjects
Mathematics, PreAlgebra
Licence
CC BY, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. About the Authors
  5. Table of Contents
  6. Acknowledgements
  7. Licensing
  8. Preface
  9. 1: Addition and Subtraction of Whole Numbers
  10. 1.1: Whole Numbers
  11. 1.2: Reading and Writing Whole Numbers
  12. 1.3: Rounding Whole Numbers
  13. 1.4: Addition of Whole Numbers
  14. 1.5: Subtraction of Whole Numbers
  15. 1.6: Properties of Addition
  16. 1.7: Summary of Key Concepts
  17. 1.8: Exercise Supplement
  18. 1.9: Proficiency Exam
  19. 2: Multiplication and Division of Whole Numbers
  20. 2.1: Multiplication of Whole Numbers
  21. 2.2: Concepts of Division of Whole Numbers
  22. 2.3: Division of Whole Numbers
  23. 2.4: Some Interesting Facts about Division
  24. 2.5: Properties of Multiplication
  25. 2.6: Summary of Key Concepts
  26. 2.7: Exercise Supplement
  27. 2.8: Proficiency Exam
  28. 3: Exponents, Roots, and Factorization of Whole Numbers
  29. 3.1: Exponents and Roots
  30. 3.2: Grouping Symbols and the Order of Operations
  31. 3.3: Prime Factorization of Natural Numbers
  32. 3.4: The Greatest Common Factor
  33. 3.5: The Least Common Multiple
  34. 3.6: Summary of Key Concepts
  35. 3.7: Exercise Supplement
  36. 3.8: Proficiency Exam
  37. 4: Introduction to Fractions and Multiplication and Division of Fractions
  38. 4.1: Factions of Whole Numbers
  39. 4.2: Proper Fractions, Improper Fractions, and Mixed Numbers
  40. 4.3: Equivalent Fractions, Reducing Fractions to Lowest Terms, and Raising Fractions to Higher Terms
  41. 4.4: Multiplication of Fractions
  42. 4.5: Division of Fractions
  43. 4.6: Applications Involving Fractions
  44. 4.7: Summary of Key Concepts
  45. 4.8: Exercise Supplement
  46. 4.9: Proficiency Exam
  47. 5: Addition and Subtraction of Fractions, Comparing Fractions, and Complex Fractions
  48. 5.1: Addition and Subtraction of Fractions with Like Denominators
  49. 5.2: Addition and Subtraction of Fractions with Unlike Denominators
  50. 5.3: Addition and Subtraction of Mixed Numbers
  51. 5.4: Comparing Fractions
  52. 5.5: Complex Fractions
  53. 5.6: Combinations of Operations with Fractions
  54. 5.7: Summary of Key Concepts
  55. 5.8: Exercise Supplement
  56. 5.9: Proficiency Exam
  57. 6: Decimals
  58. 6.1: Reading and Writing Decimals
  59. 6.2: Converting a Decimal to a Fraction
  60. 6.3: Rounding Decimals
  61. 6.4: Addition and Subtraction of Decimals
  62. 6.5: Multiplication of Decimals
  63. 6.6: Division of Decimals
  64. 6.7: Nonterminating Divisions
  65. 6.8: Converting a Fraction to a Decimal
  66. 6.9: Combinations of Operations with Decimals and Fractions
  67. 6.10: Summary of Key Concepts
  68. 6.11: Exercise Supplement
  69. 6.12: Proficiency Exam
  70. 7: Ratios and Rates
  71. 7.1: Ratios and Rates
  72. 7.2: Proportions
  73. 7.3: Applications of Proportions
  74. 7.4: Percent
  75. 7.5: Fractions of One Percent
  76. 7.6: Applications of Percents
  77. 7.7: Summary of Key Concepts
  78. 7.8: Exercise Supplement
  79. 7.9: Proficiency Exam
  80. 8: Techniques of Estimation
  81. 8.1: Estimation by Rounding
  82. 8.2: Estimation by Clustering
  83. 8.3: Mental Arithmetic—Using the Distributive Property
  84. 8.4: Estimation by Rounding Fractions
  85. 8.5: Summary of Key Concepts
  86. 8.6: Exercise Supplement
  87. 8.7: Proficiency Exam
  88. 9: Measurement and Geometry
  89. 9.1: Measurement and the United States System
  90. 9.2: The Metric System of Measurement
  91. 9.3: Simplification of Denominate Numbers
  92. 9.4: Perimeter and Circumference of Geometric Figures
  93. 9.5: Area and Volume of Geometric Figures and Objects
  94. 9.6: Summary of Key Concepts
  95. 9.7: Exercise Supplement
  96. 9.8: Proficiency Exam
  97. 10: Signed Numbers
  98. 10.1: Variables, Constants, and Real Numbers
  99. 10.2: Signed Numbers
  100. 10.3: Absolute Value
  101. 10.4: Addition of Signed Numbers
  102. 10.5: Subtraction of Signed Numbers
  103. 10.6: Multiplication and Division of Signed Numbers
  104. 10.7: Summary of Key Concepts
  105. 10.8: Exercise Supplement
  106. 10.9: Proficiency Exam
  107. 11: Algebraic Expressions and Equations
  108. 11.1: Algebraic Expressions
  109. 11.2: Combining Like Terms Using Addition and Subtraction
  110. 11.3: Solving Equations of the Form x + a = b and x - a = b
  111. 11.4: Solving Equations of the Form ax = b and x/a = b
  112. 11.5: Applications I- Translating Words to Mathematical Symbols
  113. 11.6: Applications II- Solving Problems
  114. 11.7: Summary of Key Concepts
  115. 11.8: Exercise Supplement
  116. 11.9: Proficiency Exam
  117. Back Matter
  118. Index
  119. Glossary
  120. Detailed Licensing