Contents

  1. Introduction

    1. Changes from the first edition
    2. To the student
    3. To the instructor
    4. To everyone

    1. 1. Order of Operations

      1. Evaluating an Expression
      2. Exponents
      3. Grouping Symbols

    2. 2. Negative Numbers

      1. Absolute Value
      2. Adding Negative Numbers
      3. Subtracting Negative Numbers
      4. Absolute Value, Revisited
      5. Multiplying Negative Numbers
      6. Dividing Negative Numbers
      7. Order of Operations with Negative Numbers

    3. 3. Decimals

      1. Adding & Subtracting Decimals
      2. Multiplying Decimals
      3. Dividing Decimals
      4. Rounding Numbers

    4. 4. Fractions

      1. Writing Fractions
      2. Simplifying Fractions
      3. Multiplying Fractions
      4. Dividing Fractions
      5. Comparing Fractions
      6. Adding & Subtracting Fractions
      7. Fractions and Decimals
      8. Improper Fractions & Mixed Numbers

    5. 5. Accuracy and Significant Figures

      1. Exact Values and Approximations
      2. Accuracy and Significant Figures
      3. Accuracy-Based Rounding
      4. Accuracy when Multiplying and Dividing

    6. 6. Precision and GPE

      1. Precision
      2. Precision-Based Rounding
      3. Precision when Adding and Subtracting
      4. Greatest Possible Measurement Error (GPE)
      5. Summary of Accuracy, Precision, GPE

    7. 7. Formulas

      1. Formulas with One Input
      2. Temperature Conversions
      3. Formulas with More than One Input
      4. Formulas with a Yes or No Answer

    8. 8. Perimeter and Circumference

      1. Perimeter
      2. Circumference

    9. 9. Percents Part 1

      1. Percent Basics
      2. Solving Percent Problems: Finding the Amount

    10. 10. Ratios, Rates, Proportions

      1. Ratios & Rates
      2. Unit Rates
      3. Proportions

    11. 11. Scientific Notation

      1. Powers of Ten
      2. Scientific Notation
      3. Multiplying & Dividing with Scientific Notation
      4. Engineering Notation

    12. 12. Percents Part 2 and Error Analysis

      1. Solving Percent Problems: Finding the Rate
      2. Solving Percent Problems: Finding the Base
      3. Solving Percent Problems: Using Proportions
      4. Solving Percent Problems: Percent Increase
      5. Solving Percent Problems: Percent Decrease
      6. Relative Error
      7. Tolerance

    13. 13. The US Measurement System

      1. U.S. System: Measurements of Length
      2. U.S. System: Measurements of Weight or Mass
      3. U.S. System: Measurements of Volume or Capacity
      4. U.S. System: Using Mixed Units of Measurement

    14. 14. The Metric System

      1. Metric System: Measurements of Length
      2. Metric System: Measurements of Weight or Mass
      3. Metric System: Measurements of Volume or Capacity

    15. 15. Converting Between Systems

      1. Converting Measurements of Length
      2. Converting Measurements of Weight or Mass
      3. Converting Measurements of Volume or Capacity
      4. Converting Measurements: Extensions

    16. 16. Other Conversions

      1. Converting Measurements of Time
      2. Converting Rates
      3. Measurement Prefixes: Larger
      4. Measurement Prefixes: Smaller

    17. 17. Angles

      1. Angle Measure
      2. Angles in Triangles
      3. Angles and Parallel Lines
      4. Degrees, Minutes, Seconds

    18. 18. Triangles

      1. Classifying Triangles
      2. Similar Triangles
      3. The Pythagorean Theorem

    19. 19. Area of Polygons and Circles

      1. Area: Rectangles and Squares
      2. Area: Parallelograms
      3. Area: Triangles
      4. Area: Trapezoids
      5. Area: Circles

    20. 20. Composite Figures

      1. Composite Figures with Polygons
      2. Composite Figures with Circles

    21. 21. Converting Units of Area

      1. U.S. System: Converting Measurements of Area
      2. Metric System: Converting Measurements of Area
      3. Both Systems: Converting Measurements of Area
      4. Areas of Similar Figures

    22. 22. Surface Area of Common Solids

      1. Surface Area: Rectangular Solids
      2. Surface Area: Cylinders
      3. Surface Area: Spheres

    23. 23. Area of Regular Polygons

      1. Using the Distance from the Center to an Edge
      2. Using the Distance from the Center to a Vertex
      3. Composite Figures with Regular Polygons

    24. 24. Volume of Common Solids

      1. Volume: Rectangular Solids
      2. Volume: Rectangular Prisms
      3. Volume: Cylinders
      4. Volume: Spheres
      5. Volume: Composite Solids

    25. 25. Converting Units of Volume

      1. U.S. System: Converting Measurements of Volume
      2. Metric System: Converting Measurements of Volume
      3. Both Systems: Converting Measurements of Volume
      4. Density
      5. Volumes of Similar Solids

    26. 26. Pyramids and Cones

      1. Pyramids
      2. Cones

    27. 27. Percents Part 3

      1. Finding the Base After a Percent Increase
      2. Finding the Base After a Percent Decrease

    28. 28. Mean, Median, Mode

      1. Mean
      2. Median
      3. Mode

    29. 29. Probability

      1. Theoretical Probability
      2. Empirical Probability
      3. Probability of More Than One Event

    30. 30. Standard Deviation

      1. Normal Distributions & Standard Deviation
      2. The 68-95-99.7 Rule

    31. 31. Right Triangle Trigonometry

      Bob Brown and Morgan Chase

      1. Sine, Cosine, Tangent
      2. Trigonometry Applications
      3. Inverse Sine, Inverse Cosine, Inverse Tangent
      4. Inverse Trigonometry Applications
      5. Using Multiple Methods

    32. 32. Slope

      Bob Brown and Morgan Chase

      1. Slope as a Ratio
      2. Slope as an Angle

    33. 33. Non-Right Triangle Trigonometry

      1. Law of Sines
      2. Law of Cosines

    34. 34. Radian Measure

      1. Radian Measure

  3. Exercise Answers

    1. Module 1: Order of Operations
    2. Module 2: Negative Numbers
    3. Module 3: Decimals
    4. Module 4: Fractions
    5. Module 5: Accuracy and Significant Figures
    6. Module 6: Precision and GPE
    7. Module 7: Formulas
    8. Module 8: Perimeter and Circumference
    9. Module 9: Percents Part 1
    10. Module 10: Ratios, Rates, Proportions
    11. Module 11: Scientific Notation
    12. Module 12: Percents Part 2 and Error Analysis
    13. Module 13: The US Measurement System
    14. Module 14: The Metric System
    15. Module 15: Converting Between Systems
    16. Module 16: Other Conversions
    17. Module 17: Angles
    18. Module 18: Triangles
    19. Module 19: Area of Polygons and Circles
    20. Module 20: Composite Figures
    21. Module 21: Converting Units of Area
    22. Module 22: Surface Area of Common Solids
    23. Module 23: Area of Regular Polygons
    24. Module 24: Volume of Common Solids
    25. Module 25: Converting Units of Volume
    26. Module 26: Pyramids and Cones
    27. Module 27: Percents Part 3
    28. Module 28: Mean, Median, Mode
    29. Module 29: Probability
    30. Module 30: Standard Deviation
    31. Module 31: Right Triangle Trigonometry
    32. Module 32: Slope
    33. Module 33: Non-Right Triangle Trigonometry
    34. Module 34: Radian Measure

  4. Accessibility

    1. Accessibility Statement
    2. Accessibility features of the web version of this textbook
    3. Other file formats available
    4. Known accessibility issues and areas for improvement
    5. Let us know if you are having problems accessing this textbook