Fundamentals of General, Organic, and Biological Chemistry (6th Edition) - ISBN 0136054501, 978-0136054504
Fundamentals of General, Organic, and Biological Chemistry (6th Edition) - ISBN 0136054501, 978-0136054504
Fundamentals of General, Organic, and Biological Chemistry (6th Edition) - ISBN 0136054501, 978-0136054504
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About the Authors
John McMurry, educated at Harvard and Columbia, has taught
approximately 17,000 students in general and organic chemistry over
a 30-year period. A Professor of Chemistry at Cornell University since
1980, Dr. McMurry previously spent 13 years on the faculty at the
University of California at Santa Cruz. He has received numerous
awards, including the Alfred P. Sloan Fellowship (1969 71), the
National Institute of Health Career Development Award (1975 80),
the Alexander von Humboldt Senior Scientist Award (1986 87), and the Max Planck
Research Award (1991).
Carl A. Hoeger received his B.S. in Chemistry from San Diego State
University and his Ph.D. in Organic Chemistry from the University of
Wisconsin, Madison in 1983. After a postdoctoral stint at the Univer-
sity of California, Riverside, he joined the Peptide Biology Laboratory
at the Salk Institute in 1985 where he ran the NIH Peptide Facility
while doing basic research in the development of peptide agonists
and antagonists. During this time he also taught general, organic, and
biochemistry at San Diego City College, Palomar College, and Miramar College.
He joined the teaching faculty at University of Califiornia, San Diego in 1998.
Dr. Hoeger has been teaching chemistry to undergraduates for over 20 years, where
he continues to explore the use of technology in the classroom. In 2004 he won the
Paul and Barbara Saltman Distinguished Teaching Award from UCSD. He is
currently the General Chemistry coordinator at UCSD, where he is also responsible
for the training and guidance of over 100 teaching assistants in the Chemistry and
Biochemistry departments.
Applications xiii
17 Carboxylic Acids and Their
Preface xv Derivatives 516
A Student s Guide to Using This Text xxiv
18 Amino Acids and Proteins 552
1 Matter and Life 2
19 Enzymes and Vitamins 592
2 Measurements in Chemistry 18
20 Chemical Messengers: Hormones,
3 Atoms and the Periodic Table 48 Neurotransmitters, and Drugs 628
Applications xiii
Preface xv
2 Measurements in Chemistry 18
Application: The Origin of Chemical
Elements 61
2.1 Physical Quantities 19 3.6 Electronic Structure of Atoms 61
2.2 Measuring Mass 21 3.7 Electron Configurations 64
2.3 Measuring Length and Volume 22 3.8 Electron Configurations and the
2.4 Measurement and Significant Figures 24 Periodic Table 68
2.5 Scientific Notation 26 3.9 Electron-Dot Symbols 71
Application: Powers of 10 28 Application: Atoms and Light 72
2.6 Rounding Off Numbers 29
2.7 Problem Solving: Converting a Quantity from One
Unit to Another 31 4 Ionic Compounds 78
2.8 Problem Solving: Estimating Answers 33 4.1 Ions 79
2.9 Measuring Temperature 35 4.2 Periodic Properties and Ion Formation 81
Application: Temperature-Sensitive 4.3 Ionic Bonds 83
Materials 36 4.4 Some Properties of Ionic Compounds 84
2.10 Energy and Heat 38 4.5 Ions and the Octet Rule 84
2.11 Density 39 Application: Minerals and Gems 85
Application: Obesity and Body Fat 41 4.6 Ions of Some Common Elements 87
2.12 Specific Gravity 42 Application: Salt 89
4.7 Naming Ions 90
v
vi Contents
8.10 Partial Pressure and Daltons Law 233 10.11 Buffer Solutions 312
8.11 Intermolecular Forces 235 10.12 Buffers in the Body 315
Application: Greenhouse Gases and Global Application: Buffers in the Body: Acidosis
Warming 236 and Alkalosis 317
8.12 Liquids 240 10.13 Acid and Base Equivalents 318
8.13 Water: A Unique Liquid 242 10.14 Some Common Acid Base Reactions 320
8.14 Solids 243 10.15 Titration 321
8.15 Changes of State 244 Application: Acid Rain 324
Application: Biomaterials for Joint 10.16 Acidity and Basicity of Salt Solutions 325
Replacement 246
Application: CO2 as an Environmentally Friendly
Solvent 248 11 Nuclear Chemistry 332
11.1 Nuclear Reactions 333
11.2 The Discovery and Nature of Radioactivity 334
9 Solutions 254 11.3 Stable and Unstable Isotopes 335
9.1 Mixtures and Solutions 255 11.4 Nuclear Decay 336
9.2 The Solution Process 257 11.5 Radioactive Half-Life 341
9.3 Solid Hydrates 259 Application: Medical Uses of Radioactivity 342
9.4 Solubility 260 11.6 Radioactive Decay Series 344
9.5 The Effect of Temperature on Solubility 261 11.7 Ionizing Radiation 345
9.6 The Effect of Pressure on Solubility: 11.8 Detecting Radiation 347
Henry s Law 262 11.9 Measuring Radiation 348
9.7 Units of Concentration 265 Application: Irradiated Food 349
Application: Breathing and Oxygen Transport 266 11.10 Artificial Transmutation 350
9.8 Dilution 273 Application: Body Imaging 352
9.9 Ions in Solution: Electrolytes 275 11.11 Nuclear Fission and Nuclear Fusion 352
9.10 Electrolytes in Body Fluids: Equivalents Application: Archaeological Radiocarbon
and Milliequivalents 276 Dating 355
9.11 Properties of Solutions 278
Application: Electrolytes, Fluid Replacement,
and Sports Drinks 279 12 Introduction to Organic Chemistry:
9.12 Osmosis and Osmotic Pressure 282 Alkanes 360
9.13 Dialysis 285
12.1 The Nature of Organic Molecules 361
Application: Timed-Release Medications 286
12.2 Families of Organic Molecules: Functional
Groups 363
10 Acids and Bases 292
10.1 Acids and Bases in Aqueous Solution 293
10.2 Some Common Acids and Bases 294
10.3 The Brønsted Lowry Definition of Acids
and Bases 295
10.4 Water as Both an Acid and a Base 298
10.5 Acid and Base Strength 299
Application: GERD Too Much Acid or Not
Enough? 302
10.6 Acid Dissociation Constants 303
10.7 Dissociation of Water 304
10.8 Measuring Acidity in Aqueous Solution: pH 306
10.9 Working with pH 308
10.10 Laboratory Determination of Acidity 310
Application: pH of Body Fluids 311
viii Contents
12.3 The Structure of Organic Molecules: 13.10 Naming Aromatic Compounds 423
Alkanes and Their Isomers 368 13.11 Reactions of Aromatic Compounds 426
12.4 Drawing Organic Structures 370 Application: Why We See Color 428
12.5 The Shapes of Organic Molecules 376
12.6 Naming Alkanes 378
Application: Displaying Molecular 14 Some Compounds with Oxygen,
Shapes 379 Sulfur, or a Halogen 434
12.7 Properties of Alkanes 385
14.1 Alcohols, Phenols, and Ethers 435
12.8 Reactions of Alkanes 386
14.2 Some Common Alcohols 437
12.9 Cycloalkanes 387
14.3 Naming Alcohols 438
Application: Petroleum 388
14.4 Properties of Alcohols 441
12.10 Drawing and Naming Cycloalkanes 389
14.5 Reactions of Alcohols 442
Application: Ethyl Alcohol as a Drug and
13 Alkenes, Alkynes, and Aromatic a Poison 447
14.6 Phenols 448
Compounds 396
14.7 Acidity of Alcohols and Phenols 449
13.1 Alkenes and Alkynes 397 Application: Phenols as Antioxidants 450
13.2 Naming Alkenes and Alkynes 398 14.8 Ethers 451
13.3 The Structure of Alkenes: Cis Trans 14.9 Thiols and Disulfides 453
Isomerism 401 Application: Inhaled Anesthetics 454
13.4 Properties of Alkenes and Alkynes 405 14.10 Halogen-Containing Compounds 455
13.5 Types of Organic Reactions 405 Application: Chlorofluorocarbons and the Ozone
Application: The Chemistry of Vision 406 Hole 457
13.6 Reactions of Alkenes and Alkynes 409
13.7 How Alkene Addition Reactions Occur 415
13.8 Alkene Polymers 416 15 Amines 464
Application: Polymer Applications Currency 420 15.1 Amines 465
13.9 Aromatic Compounds and the Structure Application: Chemical Information 468
of Benzene 420 15.2 Properties of Amines 471
Application: Polycyclic Aromatic Hydrocarbons 15.3 Heterocyclic Nitrogen Compounds 473
and Cancer 422
Application: NO: A Small Molecule with Big
Responsibilities 475
15.4 Basicity of Amines 476
Application: Organic Compounds in Body Fluids
and the Solubility Switch 478
15.5 Amine Salts 479
15.6 Amines in Plants: Alkaloids 481
Application: Toxicology 482
22 Carbohydrates 692
22.1 An Introduction to Carbohydrates 693
22.2 Handedness of Carbohydrates 695
22.3 The D and L Families of Sugars: Drawing Sugar
Molecules 697
Application: Chirality and Drugs 699
22.4 Structure of Glucose and Other
Monosaccharides 700
Application: Carbohydrates in the Diet 704
22.5 Some Important Monosaccharides 705
22.6 Reactions of Monosaccharides 709
22.7 Disaccharides 711
Application: Cell Walls: Rigid Defense
Systems 714
22.8 Variations on the Carbohydrate Theme 715
20.7 How Neurotransmitters Work: Acetylcholine, 22.9 Some Important Polysaccharides 717
Its Agonists and Antagonists 643 Application: Cell-Surface Carbohydrates and
20.8 Histamine and Antihistamines 646 Blood Type 720
Application: And from This Little Frog ... 647 Application: Dietary Fiber 722
20.9 Serotonin, Norepinephrine, and Dopamine 648
20.10 Neuropeptides and Pain Relief 650 23 Carbohydrate Metabolism 728
20.11 Drug Discovery and Drug Design 651
23.1 Digestion of Carbohydrates 729
23.2 Glucose Metabolism: An Overview 730
21 The Generation of Biochemical 23.3
23.4
Glycolysis 732
Entry of Other Sugars into Glycolysis 736
Energy 658
Application: Tooth Decay 737
21.1 Energy and Life 659 23.5 The Fate of Pyruvate 738
21.2 Energy and Biochemical Reactions 660 23.6 Energy Output in Complete Catabolism of
Application: Life without Sunlight 663 Glucose 740
21.3 Cells and Their Structure 664 Application: Microbial Fermentations: Ancient and
21.4 An Overview of Metabolism and Energy Modern 741
Production 666 23.7 Regulation of Glucose Metabolism and Energy
21.5 Strategies of Metabolism: ATP and Energy Production 741
Transfer 669 23.8 Metabolism in Fasting and Starvation 742
21.6 Strategies of Metabolism: Metabolic Pathways 23.9 Metabolism in Diabetes Mellitus 744
and Coupled Reactions 671 Application: Diagnosis and Monitoring
Application: Basal Metabolism 673 of Diabetes 744
21.7 Strategies of Metabolism: Oxidized and Reduced 23.10 Glycogen Metabolism: Glycogenesis and
Coenzymes 674 Glycogenolysis 746
21.8 The Citric Acid Cycle 677 Application: The Biochemistry of Running 748
21.9 The Electron-Transport Chain and ATP 23.11 Gluconeogenesis: Glucose from
Production 680 Noncarbohydrates 749
Application: Energy Undone: Blockers and Application: Polysaccharides What Are They
Uncouplers of Oxidative Phosphorylation 683 Good For? 751
Contents xi
Appendices A-1
Glossary A-6
Index A-51
29 Body Fluids 878
29.1 Body Water and Its Solutes 879
29.2 Fluid Balance 882
Contents xiii
Applications
xiii
Preface
Organization
GENERAL CHEMISTRY: CHAPTERS 1 11 The introduction to elements, atoms, the
periodic table, and the quantitative nature of chemistry (Chapters 1 3) is followed
by chapters that individually highlight the nature of ionic and molecular com-
pounds (Chapters 4 and 5). The next two chapters discuss chemical reactions and
their stoichiometry, energies, rates, and equilibria (Chapters 6 and 7). Topics rele-
vant to the chemistry of life follow: Gases, Liquids, and Solids (Chapter 8); Solu-
tions (Chapter 9); and Acids and Bases (Chapter 10). Nuclear Chemistry (Chapter 11)
closes the general chemistry sequence.
Chapter 1
The Scientific Method is introduced in the text and reinforced in Applications
presented in the chapter.
Chapter 3
Discussion of the critical experiments of Thomson, Millikan, and Rutherford are
included in the Application Are Atoms Real to provide historical perspective
on the development of our understanding of atomic structure.
Electron dot structures are introduced in Chapter 3 to emphasize the impor-
tance of the valence shell electronic configurations with respect to chemical
behavior of the elements.
Chapter 4
Electron dot structures are used to reinforce the role of valence shell electronic
configurations in explaining periodic behavior and the formation of ions.
Chapter 5
The two methods for drawing Lewis dot structures (the general method and
the streamlined method for molecules containing C, N, O, X, and H) are dis-
cussed back-to-back to highlight the underlying principle of the octet rule com-
mon to both methods.
Chapter 6
The concept of limiting reagents is incorporated in Section 6.7 in the discussion
of reaction stoichiometry and percent yields.
Preface xvii
Chapter 7
The discussion of free energy and entropy in Section 7.4 has been revised to
help students develop a more intuitive understanding of the role of entropy in
spontaneous processes.
Section 7.8 includes more discussion of how the equilibrium constant is calcu-
lated and what it tells us about the extent of reaction.
Chapter 8
Sections 8.3 8.10 include more emphasis on use of the kinetic molecular theory
to understand the behavior of gases described by the gas laws.
Section 8.15 includes more discussion on the energetics of phase changes to
help students understand the difference between heat transfer associated with
a temperature change and heat transfer associated with the phase change of
a substance.
Chapter 9
Discussion of equivalents in Section 9.10 has been revised to emphasize the
relationship between ionic charge and equivalents of ionic compounds.
Discussion of osmotic pressure (Section 9.12) now includes the osmotic pres-
sure equation and emphasizes the similarity with the ideal gas law.
Chapter 10
Both the algebraic and logarithmic forms of Kw are presented in Section 10.8 to
give students another approach to solving pH problems.
The discussion of buffer systems now introduces the Henderson-Hasselbalch
equation. This relationship makes it easier to identify the factors that affect the
pH of a buffer system and is particularly useful in biochemical applications in
later chapters.
Discussion of common acid-base reactions has been moved back in the chapter
to provide a more logical segue into titrations in Section 10.15.
Chapter 11
Treatment of half-life in Section 11.5 now includes a generic equation to allow
students to determine the fraction of isotope remaining after an integral or
non-integral number of half-lives, which is more consistent with real world
applications.
The Applications in this chapter have been expanded to include discussion of
new technologies such as Boron Neutron-Capture Therapy (BNCT), or to clear
up misconceptions about current methods such as MRI.
The topic of how to draw and interpret line structures for organic molecules has
been added, along with worked examples of such.
The discussion of conformations has been expanded.
Chapter 13
A more general discussion of cis and trans isomers has been added.
The discussion of organic reaction types, particularly rearrangement reactions,
have been simplified.
Chapter 14
The topic of oxidation in organic molecules has been clarified.
Chapter 15
The role of NO in human biology has been updated to reflect current research.
Chapter 16
A more detailed discussion of what is meant by toxic or poisonous has been
added.
Chapter 17
A discussion of ibuprofen has been added.
Chapter 18
The discussion of sickle cell anemia has been expanded and the role of an
amino acid substitution on hemoglobin structure clarified.
The Application Prions Proteins That Cause Disease has been updated to reflect
current research.
Chapter 19
Incorporated the information about lead poisoning into the discussion of
enzyme inhibition.
Chapter 20
The discussion of anabolic steroids has been updated.
The discussion of drugs and their interaction with the neurotransmitter acetyl-
choline has been expanded.
Chapter 21
The discussion of ATP energy production has been revised.
Chapter 22
An explanation of the chair conformation of glucose has been included to
enhance understanding of the shape of cyclic sugars.
The Application Chirality and Drugs has been updated.
The Application Cell Surface Carbohydrates and Blood Type has been revised.
Preface xix
Chapter 23
The explanation of substrate level phosphorylation has been expanded for clarity.
The emerging medical condition referred to as Metabolic Syndrome has been
added to the text discussion of diabetes.
The Application Diagnosis and Monitoring of Diabetes has been updated to include
metabolic syndrome.
Section 23.11 now contains an expanded discussion of gluconeogenesis.
The discussion of polysaccharides has been updated.
Chapter 24
The description of the cell membrane has been expanded.
A discussion of some inhibitors of Cox 1 and Cox 2 enzymes, important in
inflammation, has been added.
Chapter 25
The discussion of triacylglycerol synthesis has been expanded.
The discussion of ketone body formation has been expanded.
A thorough explanation of the biosynthesis of fatty acids has been added.
Chapter 26
The Application Viruses and AIDS has been updated.
Information about the 1918 influenza pandemic was included in the Applica-
tion Bird Flu : The Next Epidemic?
Chapter 27
A discussion of the problems associated with using recombinant DNA for
commercial protein manufacture has been added.
In Section 27.5, new bioethical issues are pointed out to reflect modern
concerns.
The discussion of recombinant DNA and polymerase chain reactions has been
moved to this chapter from Chapter 26.
Focus on Learning
WORKED EXAMPLES Most Worked Examples, both quantitative and not quantita-
tive, include an Analysis section that precedes the Solution. The Analysis lays out
the approach to solving a problem of the given type. When appropriate, a Ballpark
Estimate gives students an overview of the relationships needed to solve the prob-
lem, and provides an intuitive approach to arrive at a rough estimate of the answer.
The Solution presents the worked-out example using the strategy laid out in the
Analysis and, in many cases, includes expanded discussion to enhance student
understanding. The use of the two-column format introduced in the fifth edition for
quantitative problems has been applied to more Worked Examples throughout the
text. Following the Solution there is a Ballpark Check that compares the calculated
answer to the Ballpark Estimate, when appropriate, and verifies that the answer
makes chemical and physical sense.
KEY CONCEPT PROBLEMS are integrated throughout the chapters to focus attention
on the use of essential concepts, as do the Understanding Key Concepts problems at
the end of each chapter. Understanding Key Concepts problems are designed to test
students mastery of the core principles developed in the chapter. Students thus
xx Preface
have an opportunity to ask Did I get it? before they proceed. Most of these Key
Concept Problems use graphics or molecular-level art to illustrate the core princi-
ples and will be particularly useful to visual learners.
PROBLEMS The problems within the chapters, for which brief answers are given
in an appendix, cover every skill and topic to be understood. One or more prob-
lems, many of which are new to this edition, follow each Worked Example and
others stand alone at the ends of sections.
KEY WORDS Every key term is boldfaced on its first use, fully defined in the mar-
gin adjacent to that use, and listed at the end of the chapter. These are the terms
students must understand to get on with the subject at hand. Definitions of all Key
Words are collected in the Glossary.
Focus on Relevancy
Chemistry is often considered to be a difficult and tedious subject. But when stu-
dents make a connection between a concept in class and an application in their
daily lives the chemistry comes alive, and they get excited about the subject. The
applications in this book strive to capture student interest and emphasize the rele-
vance of the scientific concepts. The use of relevant applications makes the concepts
more accessible and increases understanding.
Applications are both integrated into the discussions in the text and set off
from the text in Application boxes. Each boxed application provides sufficient
information for reasonable understanding and, in many cases, extends the con-
cepts discussed in the text in new ways. The boxes end with a cross-reference to
end-of-chapter problems that can be assigned by the instructor. Some well-
received Applications from previous editions that have been retained include
Breathing and Oxygen Transport, Buffers in the Body, Prions, Protein Analysis by
Electrophoresis, The Biochemistry of Running, and DNA Fingerprinting.
New Applications in this edition include Aspirin A Case Study, Temperature-
Sensitive Materials, Anemia A Limiting Reagent Problem, GERD: Too Much Acid or
Not Enough, and It s a Ribozyme!
We have also retained the successful concept link icons and Looking Ahead notes.
Concept link icons are used extensively to indicate places where previ-
ously covered material is relevant to the discussion at hand. These links pro-
vide for cross-references and also serve to highlight important chemical themes
as they are revisited.
Looking Ahead notes call attention to connections between just-covered mate-
rial and discussions in forthcoming chapters. These notes are designed to illus-
trate to the students why what they are learning will be useful in what lies
ahead.
Test Item File (0-32-161514-X) Updated to reflect the revisions in this text and con-
tains questions in a bank of more than 2,000 multiple-choice questions.
BlackBoard® and WebCT ® Practice and assessment materials are available upon
request in these course management platforms.
text s Selected Answer Appendix (problems numbered in blue in the text). Both ver-
sions explain in detail how the answers to the in-text and end-of-chapter problems
are obtained. They also contain chapter summaries, study hints, and self-tests for
each chapter.
Catalyst: The Prentice Hall Custom Laboratory Program for Chemistry. This pro-
gram allows you to custom-build a chemistry lab manual that matches your content
needs and course organization. You can either write your own labs using the Lab
Authoring Kit tool, or select from the hundreds of labs available at www.
prenhall.com/catalyst. This program also allows you to add your own course
notes, syllabi, or other materials.
Acknowledgments
From conception to completion, the development of a modern textbook requires
both a focused attention on the goals and the coordinated efforts of a diverse team.
We have been most fortunate to have had the services of many talented and dedi-
cated individuals whose efforts have contributed greatly to the overall quality of
this text.
First and foremost, we are grateful to Kent Porter Hamann who, as senior edi-
tor of this text through many past revisions, provided exemplary leadership and
encouragement to the team in the early stages of this project. Very special apprecia-
tion goes to Ray Mullaney, editor in chief of book development, who mentored the
new team members and managed to coordinate the many and varied details. Irene
Nunes, our developmental editor, worked closely with the authors to ensure
accuracy and consistency. We also are grateful for the services of Wendy Perez,
project manager; Laurie Varites, assistant editor; Lia Tarabokjia, and Jill Traut and
Robert Walters, production project managers. Finally, special thanks also to Susan
McMurry and Margaret Trombley, whose efforts on the Solutions Manuals and
MasteringChemistry tutorial software, respectively, have added value to the overall
package.
Finally, many instructors and students who have used the fifth edition have
provided valuable insights and feedback and improved the accuracy of the current
edition. We gratefully acknowledge the following reviewers for their contributions
to the sixth edition:
Sheikh Ahmed, West Virgina University Karen L. Ericson, Indiana University-Purdue
Stanley Bajue, CUNY-Medgar Evers College University, Fort Wayne
Daniel Bender, Sacramento City College Charles P. Gibson, University of Wisconsin,
Dianne A. Bennett, Sacramento City Oshkosh
College Clifford Gottlieb, Shasta College
Alfredo Castro, Felician College Mildred V. Hall, Clark State Community
Gezahegn Chaka, Louisiana State University, College
Alexandria Meg Hausman, University of Southern Maine
Michael Columbia, Indiana University- Ronald Hirko, South Dakota State University
Purdue University, Fort Wayne L. Jaye Hopkins, Spokane Community
Rajeev B. Dabke, Columbus State University College
Danae R. Quirk-Dorr, Minnesota State Margaret Isbell, Sacramento City College
University, Mankato James T. Johnson, Sinclair Community
Pamela S. Doyle, Essex County College College
Marie E. Dunstan, York College of Margaret G. Kimble, Indiana University-
Pennsylvania Purdue University Fort Wayne
Preface xxiii
Grace Lasker, Lake Washington Technical Douglas E. Raynie, South Dakota State
College University
Ashley Mahoney, Bethel University Paul D. Root, Henry Ford Community College
Matthew G. Marmorino, Indiana University, Victor V. Ryzhov, Northern Illinois University
South Bend Karen Sanchez, Florida Community College,
Diann Marten, South Central College, Mankato Jacksonville-South
Barbara D. Mowery, York College of Mir Shamsuddin, Loyola University, Chicago
Pennsylvania Jeanne A. Stuckey, University of Michigan
Tracey Arnold Murray, Capital University John Sullivan, Highland Community College
Andrew M. Napper, Shawnee State Deborah E. Swain, North Carolina Central
University University
Lisa Nichols, Butte Community College Susan T. Thomas, University of Texas, San
Glenn S. Nomura, Georgia Perimeter Antonio
College Yakov Woldman, Valdosta State University
The authors are committed to maintaining the highest quality and accuracy and
look forward to comments from students and instructors regarding any aspect of
this text and supporting materials. Questions or comments should be directed to
the lead co-author.
David S. Ballantine
dballant@niu.edu
Concise, Accessible, and Unique
QUANTITATIVE AND CONCEPTUAL
Worked Examples
These examples have been modified to
emphasize both problem-solving strategies
and conceptual understanding.
Analysis
Most Worked Examples include an Analysis section
that precedes the solution. The Analysis lays out the
approach to solving a problem of the given type.
NEW! Ballpark Estimates
Ballpark Estimates help students arrive at a rough
estimate of the final answer based on an intuitive
approach to the problem.
Solution
The Solution shows students how to apply the
appropriate problem-solving strategy and guides them
through the steps to follow in obtaining the answer.
Ballpark Check
Many of the Worked Examples culminate with a
Ballpark Check that helps students quickly check
whether the answer they have calculated in numerical
Worked Examples is reasonable.
Looking Ahead
Looking Ahead Notes provide students with a preview
of how the material being presented connects to the
discussion in forthcoming chapters.
Concept Links
These links indicate where concepts in the text build on
material from earlier chapters. This chain link icon
provides a quick visual reminder that new material being
discussed relates to a concept introduced previously.