# Prealgebra

3^{rd}Edition

ISBN10: 1259616770

ISBN13: 9781259616778

Copyright: 2020

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# Prealgebra, 3rd Edition

## Chapter 1:Whole Numbers

1.1 Study Tips

Group Activity: Becoming a Successful Student

1.2 Introduction to Whole Numbers

1.3 Addition and Subtraction of Whole Numbers and Perimeter

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area 1.6 Division of Whole Numbers

Problem Recognition Exercises - Operations on Whole Numbers

1.7 Exponents, Algebraic Expressions, and the Order of Operations

1.8 Mixed Applications and Computing Mean

## Chapter 2: Integers and Algebraic Expressions

2.1 Integers, Absolute Value, and Opposite

2.2 Addition of Integers

2.3 Subtraction of Integers

2.4 Multiplication and Division of Integers

Problem Recognition Exercises - Operations on Integers

2.5 Order of Operations and Algebraic Expressions

Group Activity: Checking Weather Predictions

## Chapter 3: Solving Equations

3.1 Simplifying Expressions and Combining Like Terms

3.2 Addition and Subtraction Properties of Equality

3.3 Multiplication and Division Properties of Equality

3.4 Solving Equations with Multiple Steps

Problem Recognition Exercises - Identifying Expression and Equations

3.5 Applications and Problem Solving

Group Activity: Deciphering a Coded Message

## Chapter 4: Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Simplifying Fractions

4.3 Multiplication and Division of Fractions

4.4 Least Common Multiple and Equivalent Fractions

4.5 Addition and Subtraction of Fractions

4.6 Estimation and Operations on Mixed Numbers

Problem Recognition Exercises - Operations on Fractions and Mixed Numbers

4.7 Order of Operations and Complex Fractions

4.8 Solving Equations Containing Fractions

Problem Recognition Exercises - Comparing Expressions and Equations

Group Activity: Card Games with Fractions

## Chapter 5: Decimals

5.1 Decimal Notation and Rounding

5.2 Addition and Subtraction of Decimals

5.3 Multiplication of Decimals and Applications with Circles

5.4 Division of Decimals

Problem Recognition Exercises - Operations on Decimals

5.5 Fractions, Decimals, and the Order of Operations

5.6 Solving Equations Containing Decimals

5.7 Mean, Median, and Mode

Group Activity: Purchasing from a Catalog

## Chapter 6: Ratio and Proportion

6.1 Ratios

6.2 Rates and Unit Cost

6.3 Proportions

Problem Recognition Exercises - Operations on Fractions versus Solving Proportions

6.4 Applications of Proportions and Similar Figures

Group Activity: Investigating Probability

## Chapter 7: Percents

7.1 Percents, Fractions, and Decimals

7.2 Percent Proportions and Applications

7.3 Percent Equations and Applications

Problem Recognition Exercises - Percents

7.4 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease

7.5 Simple and Compound Interest

Group Activity: Credit Card Interest

## Chapter 8: Measurement and Geometry

8.1 US Customary Units of Measurement

8.2 Metric Units of Measurement

8.3 Converting Between US Customary and Metric Units Problem Recognition Exercises - US Customary and Metric Conversions

8.4 Medical Applications Involving Measurement

8.5 Lines and Angles

8.6 Triangles and the Pythagorean Theorem

8.7 Perimeter, Circumference, and Area

Problem Recognition Exercises - Area, Perimeter, and Circumference

8.8 Volume and Surface Area

Group Activity: Remodeling the Classroom

## Chapter 9: Graphs and Statistics

9.1 Rectangular Coordinate System

9.2 Graphing Two-Variable Equations

9.3 Tables, Bar Graphs, Pictographs, and Line Graphs

9.4 Frequency Distributions and Histograms

9.5 Circle Graphs

9.6 Introduction to Probability

Group Activity: Creating a Statistical Report

## Chapter 10: Exponents and Polynomials

10.1 Addition and Subtraction of Polynomials

10.2 Multiplication Properties of Exponents

10.3 Multiplication of Polynomials

Problem Recognition Exercises - Operations on Polynomials and Exponential Expressions

10.4 Introduction to Factoring

10.5 Negative Exponents and the Quotient Rule for Exponents

10.6 Scientific Notation

Group Activity: Evaluating and Interpreting a Polynomial Model

# 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.**

#### Accessibility Rubric

Creating accessible products is a priority for McGraw-Hill. We have put in place processes to make accessibility and meeting the WCAG AA guidelines part of our day-to-day development efforts and product roadmaps.

Please review our accessibility information for this specific product.

In future editions, this rubric will be reformatted to increase accessibility and usability.

McGraw-Hill sites may contain links to websites owned and operated by third parties. These links are provided as supplementary materials, and for learners’ information and convenience only. McGraw-Hill has no control over and is not responsible for the content or accessibility of any linked website.

**For further information on McGraw‐Hill and Accessibility, please visit our accessibility page or contact us at accessibility@mheducation.com**

# Prealgebra, 3rd Edition

## Chapter 1:Whole Numbers

1.1 Study Tips

Group Activity: Becoming a Successful Student

1.2 Introduction to Whole Numbers

1.3 Addition and Subtraction of Whole Numbers and Perimeter

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area 1.6 Division of Whole Numbers

Problem Recognition Exercises - Operations on Whole Numbers

1.7 Exponents, Algebraic Expressions, and the Order of Operations

1.8 Mixed Applications and Computing Mean

## Chapter 2: Integers and Algebraic Expressions

2.1 Integers, Absolute Value, and Opposite

2.2 Addition of Integers

2.3 Subtraction of Integers

2.4 Multiplication and Division of Integers

Problem Recognition Exercises - Operations on Integers

2.5 Order of Operations and Algebraic Expressions

Group Activity: Checking Weather Predictions

## Chapter 3: Solving Equations

3.1 Simplifying Expressions and Combining Like Terms

3.2 Addition and Subtraction Properties of Equality

3.3 Multiplication and Division Properties of Equality

3.4 Solving Equations with Multiple Steps

Problem Recognition Exercises - Identifying Expression and Equations

3.5 Applications and Problem Solving

Group Activity: Deciphering a Coded Message

## Chapter 4: Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Simplifying Fractions

4.3 Multiplication and Division of Fractions

4.4 Least Common Multiple and Equivalent Fractions

4.5 Addition and Subtraction of Fractions

4.6 Estimation and Operations on Mixed Numbers

Problem Recognition Exercises - Operations on Fractions and Mixed Numbers

4.7 Order of Operations and Complex Fractions

4.8 Solving Equations Containing Fractions

Problem Recognition Exercises - Comparing Expressions and Equations

Group Activity: Card Games with Fractions

## Chapter 5: Decimals

5.1 Decimal Notation and Rounding

5.2 Addition and Subtraction of Decimals

5.3 Multiplication of Decimals and Applications with Circles

5.4 Division of Decimals

Problem Recognition Exercises - Operations on Decimals

5.5 Fractions, Decimals, and the Order of Operations

5.6 Solving Equations Containing Decimals

5.7 Mean, Median, and Mode

Group Activity: Purchasing from a Catalog

## Chapter 6: Ratio and Proportion

6.1 Ratios

6.2 Rates and Unit Cost

6.3 Proportions

Problem Recognition Exercises - Operations on Fractions versus Solving Proportions

6.4 Applications of Proportions and Similar Figures

Group Activity: Investigating Probability

## Chapter 7: Percents

7.1 Percents, Fractions, and Decimals

7.2 Percent Proportions and Applications

7.3 Percent Equations and Applications

Problem Recognition Exercises - Percents

7.4 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease

7.5 Simple and Compound Interest

Group Activity: Credit Card Interest

## Chapter 8: Measurement and Geometry

8.1 US Customary Units of Measurement

8.2 Metric Units of Measurement

8.3 Converting Between US Customary and Metric Units Problem Recognition Exercises - US Customary and Metric Conversions

8.4 Medical Applications Involving Measurement

8.5 Lines and Angles

8.6 Triangles and the Pythagorean Theorem

8.7 Perimeter, Circumference, and Area

Problem Recognition Exercises - Area, Perimeter, and Circumference

8.8 Volume and Surface Area

Group Activity: Remodeling the Classroom

## Chapter 9: Graphs and Statistics

9.1 Rectangular Coordinate System

9.2 Graphing Two-Variable Equations

9.3 Tables, Bar Graphs, Pictographs, and Line Graphs

9.4 Frequency Distributions and Histograms

9.5 Circle Graphs

9.6 Introduction to Probability

Group Activity: Creating a Statistical Report

## Chapter 10: Exponents and Polynomials

10.1 Addition and Subtraction of Polynomials

10.2 Multiplication Properties of Exponents

10.3 Multiplication of Polynomials

Problem Recognition Exercises - Operations on Polynomials and Exponential Expressions

10.4 Introduction to Factoring

10.5 Negative Exponents and the Quotient Rule for Exponents

10.6 Scientific Notation

Group Activity: Evaluating and Interpreting a Polynomial Model

# 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.**

#### Accessibility Rubric

Creating accessible products is a priority for McGraw-Hill. We have put in place processes to make accessibility and meeting the WCAG AA guidelines part of our day-to-day development efforts and product roadmaps.

Please review our accessibility information for this specific product.

In future editions, this rubric will be reformatted to increase accessibility and usability.

McGraw-Hill sites may contain links to websites owned and operated by third parties. These links are provided as supplementary materials, and for learners’ information and convenience only. McGraw-Hill has no control over and is not responsible for the content or accessibility of any linked website.

**For further information on McGraw‐Hill and Accessibility, please visit our accessibility page or contact us at accessibility@mheducation.com**

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