# Basic College Mathematics

3^{rd}Edition

ISBN10: 0073384410

ISBN13: 9780073384412

Copyright: 2015

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

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# Basic College Mathematics, 3rd Edition

## 1 Whole Numbers

1.1 Introduction to Whole Numbers1.2 Addition of Whole Numbers and Perimeter

1.3 Subtraction of Whole Numbers

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area

1.6 Division of Whole Numbers

PRE: Operations on Whole Numbers

1.7 Exponents, Square Roots, and the Order of Operations

1.8 Problem Solving Strategies

Group Activity: Becoming a Successful Student

## 2 Fractions and Mixed Numbers: Multiplication and Division

2.1 Introduction to Fractions and Mixed Numbers

2.2 Prime Numbers and Factorisations

2.3 Simplifying Fractions to Lowest Terms

2.4 Multiplication of Fractions and Applications

2.5 Division of Fractions and Applications

PRE: Multiplication and Division of Fractions

2.6 Multiplication and Division of Mixed Numbers

Group Activity: Cooking for Company

## 3 Fractions and Mixed Numbers: Addition and Subtraction

3.1 Addition and Subtraction of Like Fractions

3.2 Least Common Multiple

3.3 Addition and Subtraction of Unlike Fractions

3.4 Addition and Subtractions of Mixed Numbers

PRE: Operations on Fractions and Mixed Numbers

3.5 Order of Operations and Applications of Fractions and Mixed Numbers

Group Activity: Card Games with Fractions

## 4 Decimals

4.1 Decimal Notation and Rounding

4.2 Addition and Subtraction of Decimals

4.3 Multiplication of Decimals

4.4 Division of Decimals

PRE: Operations on Decimals

4.5 Fractions as Decimals

4.6 Order of Operations and Applications of Decimals Group Activity: Purchasing from a Catalog

## 5 Ratio and Proportion

5.1 Ratios

5.2 Rates and Unit Cost

5.3 Proportions

PRE: Operations on Fractions versus Solving Proportions

5.4 Applications of Proportions and Similar Figures

Group Activity: Investigating Probability

## 6 Percents

6.1 Percents and Their Fraction and Decimal Forms

6.2 Fractions and Decimals and Their Percent Forms

6.3 Percent Proportions and Applications

6.4 Percent Equations and Applications

PRE: Percents

6.5 Applications Involving Sales Tax, Commission, Discount, and Markup

6.6 Percent Increase and Decrease

6.7 Simple and Compound Interest

Group Activity: Credit Card Investment

## 7 Measurement

7.1 Converting US Customary Units of Length

7.2 Converting US Customary Units of Time, Weight, and Capacity

7.3 Metric Units of Length

7.4 Metric Units of Mass and Capactiy and Medical Applications

PRE: US Customary and Metric Conversions

7.5 Converting Between US Customary and Metric Units

Group Activity: Remodeling the Classroom

## 8 Geometry

8.1 Lines and Angles

8.2 Triangles and the Pythagorean Theorem

8.3 Quadrilaterals, Perimeter, and Area

8.4 Circles, Circumference, and Area

PRE: Area, Perimeter, and Circumference

8.5 Volume

Group Activity: Constructing a Golden Rectangle

## 9 Introduction to Statistics

9.1 Tables, Bar Graphs, Pictographs, and Lines Graphs

9.2 Frequency Distributions and Histograms

9.3 Circle Graphs

9.4 Mean, Median, and Mode

9.5 Introduction to Probability

Group Activity: Creating a Statistical Report

## 10 Real Numbers

10.1 Real Numbers and the Real Number Line

10.2 Addition of Real Numbers

10.3 Subtraction of Real Numbers

PRE: Addition and Subtraction of Real Numbers

10.4 Multiplication and Division of Real Numbers

PRE: Operations on Real Numbers

10.5 Order of Operations

Group Activity: Checking Weather Predictions

## 11 Solving Equations

11.1 Properties of Real Numbers

11.2 Simplifying Expressions

11.3 Addition and Subtraction Properties of Equality

11.4 Multiplication and Division Properties of Equality

11.5 Solving Equations with Multiple Steps

PRE: Equations versus Expressions

11.6 Applications and Problem Solving

Group Activity: Deciphering a Coded Message

## Additional Topics Appendix

A.1 Energy and Power

A.2 Scientific Notation

A.3 Rectangular Coordinate System

# About the Author

**Julie Miller**

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.

**My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.**

**Molly O'Neill**

Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.

**I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.**

**Nancy Hyde**

Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra.

**I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.**

# Basic College Mathematics, 3rd Edition

## 1 Whole Numbers

1.1 Introduction to Whole Numbers1.2 Addition of Whole Numbers and Perimeter

1.3 Subtraction of Whole Numbers

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area

1.6 Division of Whole Numbers

PRE: Operations on Whole Numbers

1.7 Exponents, Square Roots, and the Order of Operations

1.8 Problem Solving Strategies

Group Activity: Becoming a Successful Student

## 2 Fractions and Mixed Numbers: Multiplication and Division

2.1 Introduction to Fractions and Mixed Numbers

2.2 Prime Numbers and Factorisations

2.3 Simplifying Fractions to Lowest Terms

2.4 Multiplication of Fractions and Applications

2.5 Division of Fractions and Applications

PRE: Multiplication and Division of Fractions

2.6 Multiplication and Division of Mixed Numbers

Group Activity: Cooking for Company

## 3 Fractions and Mixed Numbers: Addition and Subtraction

3.1 Addition and Subtraction of Like Fractions

3.2 Least Common Multiple

3.3 Addition and Subtraction of Unlike Fractions

3.4 Addition and Subtractions of Mixed Numbers

PRE: Operations on Fractions and Mixed Numbers

3.5 Order of Operations and Applications of Fractions and Mixed Numbers

Group Activity: Card Games with Fractions

## 4 Decimals

4.1 Decimal Notation and Rounding

4.2 Addition and Subtraction of Decimals

4.3 Multiplication of Decimals

4.4 Division of Decimals

PRE: Operations on Decimals

4.5 Fractions as Decimals

4.6 Order of Operations and Applications of Decimals Group Activity: Purchasing from a Catalog

## 5 Ratio and Proportion

5.1 Ratios

5.2 Rates and Unit Cost

5.3 Proportions

PRE: Operations on Fractions versus Solving Proportions

5.4 Applications of Proportions and Similar Figures

Group Activity: Investigating Probability

## 6 Percents

6.1 Percents and Their Fraction and Decimal Forms

6.2 Fractions and Decimals and Their Percent Forms

6.3 Percent Proportions and Applications

6.4 Percent Equations and Applications

PRE: Percents

6.5 Applications Involving Sales Tax, Commission, Discount, and Markup

6.6 Percent Increase and Decrease

6.7 Simple and Compound Interest

Group Activity: Credit Card Investment

## 7 Measurement

7.1 Converting US Customary Units of Length

7.2 Converting US Customary Units of Time, Weight, and Capacity

7.3 Metric Units of Length

7.4 Metric Units of Mass and Capactiy and Medical Applications

PRE: US Customary and Metric Conversions

7.5 Converting Between US Customary and Metric Units

Group Activity: Remodeling the Classroom

## 8 Geometry

8.1 Lines and Angles

8.2 Triangles and the Pythagorean Theorem

8.3 Quadrilaterals, Perimeter, and Area

8.4 Circles, Circumference, and Area

PRE: Area, Perimeter, and Circumference

8.5 Volume

Group Activity: Constructing a Golden Rectangle

## 9 Introduction to Statistics

9.1 Tables, Bar Graphs, Pictographs, and Lines Graphs

9.2 Frequency Distributions and Histograms

9.3 Circle Graphs

9.4 Mean, Median, and Mode

9.5 Introduction to Probability

Group Activity: Creating a Statistical Report

## 10 Real Numbers

10.1 Real Numbers and the Real Number Line

10.2 Addition of Real Numbers

10.3 Subtraction of Real Numbers

PRE: Addition and Subtraction of Real Numbers

10.4 Multiplication and Division of Real Numbers

PRE: Operations on Real Numbers

10.5 Order of Operations

Group Activity: Checking Weather Predictions

## 11 Solving Equations

11.1 Properties of Real Numbers

11.2 Simplifying Expressions

11.3 Addition and Subtraction Properties of Equality

11.4 Multiplication and Division Properties of Equality

11.5 Solving Equations with Multiple Steps

PRE: Equations versus Expressions

11.6 Applications and Problem Solving

Group Activity: Deciphering a Coded Message

## Additional Topics Appendix

A.1 Energy and Power

A.2 Scientific Notation

A.3 Rectangular Coordinate System

# About the Author

**Julie Miller**

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.

**My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.**

**Molly O'Neill**

Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.

**I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.**

**Nancy Hyde**

Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra.

**I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.**

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