# (eBook) (PDF) Using & Understanding Mathematics: A Quantitative Reasoning Approach, 7th edition

$29.90

By

Jeffrey O. Bennett,

William L. Briggs

## Description

Overview

With Using & Understanding Mathematics, see the relevance of mathematics in everyday life. From buying groceries to paying taxes, the text will help you develop your critical-thinking and quantitative reasoning skills — so you can master the math you’ll encounter in your college courses, future career, and daily life.

Published by Pearson (July 14th 2021) – Copyright © 2019

ISBN-13: 9780137553334

Subject: Liberal Arts Math

Category: Quantitative Reasoning

- Preface
- Acknowledgments
- Prologue: Literacy for the Modern World

### I. LOGIC AND PROBLEM SOLVING

**Thinking Critically****Activity: Bursting Bubble**- 1A. Living in the Media Age
*In Your World: Fact Checking on the Web*

- 1B. Propositions and Truth Values
- 1C. Sets and Venn Diagrams
*Brief Review: Sets of Numbers*

- 1D. Analyzing Arguments
*Mathematical Insight: Deductive Proof of the Pythagorean Theorem*

- 1E. Critical Thinking in Everyday Life
*In Your World: Beware of “Up to” Deals*

**Approaches to Problem Solving****Activity: Global Melting**- 2A. Understand, Solve, and Explain
*Brief Review: Common Fractions**Brief Review: Decimal Fractions**Using Technology: Currency Exchange Rates**In Your World: Changing Money in Foreign Countries*

- 2B. Extending Unit Analysis
*In Your World: Gems and Gold Jewelry**Brief Review: Powers of 10**Using Technology: Metric Conversions**In Your World: Save Money and Save the Earth*

- 2C. Problem-Solving Hints
*Mathematical Insight: Zeno’s Paradox*

### II. QUANTITATIVE INFORMATION IN EVERYDAY LIFE

**Numbers in the Real World****Activity: Big Numbers**- 3A. Uses and Abuses of Percentages
*Brief Review: Percentages**Brief Review: What Is a Ratio?*

- 3B. Putting Numbers in Perspective
*Brief Review: Working with Scientific Notation**Using Technology: Scientific Notation*

- 3C. Dealing with Uncertainty
*Brief Review: Rounding**Using Technology: Rounding in Excel*

- 3D. Index Numbers: The CPI and Beyond
*Using Technology: The Inflation Calculator**In Your World: The Chained CPI and the Federal Budget*

- 3E. How Numbers Can Deceive: Polygraphs, Mammograms, and More

**Managing Money****Activity: Student Loans**- 4A. Taking Control of Your Finances
- 4B. The Power of Compounding
*Brief Review: Powers and Roots**Using Technology: Powers**Using Technology: The Compound Interest Formula**Using Technology: The Compound Interest Formula for Interest Paid More Than Once a Year**Using Technology: APY in Excel**Using Technology: Powers of e**Brief Review: Four Basic Rules of Algebra**In Your World: Effects of Low Interest Rates*

- 4C. Savings Plans and Investments
*Mathematical Insight: Derivation of the Savings Plan Formula**Using Technology: The Savings Plan Formula**Using Technology: Fractional Powers (Roots)**In Your World: Building a Portfolio*

- 4D. Loan Payments, Credit Cards, and Mortgages
*Using Technology: The Loan Payment Formula (Installment Loans)**Mathematical Insight: Derivation of the Loan Payment Formula**Using Technology: Principal and Interest Portions of Loan Payments**In Your World: Avoiding Credit Card Trouble**In Your World: Choosing or Refinancing a Loan*

- 4E. Income Taxes
- 4F. Understanding the Federal Budget

### III. PROBABILITY AND STATISTICS

**Statistical Reasoning****Activity: Cell Phones and Driving**- 5A. Fundamentals of Statistics
*Using Technology: Random Numbers*

- 5B. Should You Believe a Statistical Study?
*In Your World: The Gun Debate: Defensive Gun Use*

- 5C. Statistical Tables and Graphs
*Using Technology: Frequency Tables in Excel**Using Technology: Bar Graphs and Pie Charts in Excel**Using Technology: Line Charts in Excel*

- 5D. Graphics in the Media
*Using Technology: Graphs with Multiple Data Sets*

- 5E. Correlation and Causality
*Using Technology: Scatterplots in Excel*

**Putting Statistics to Work****Activity: Are We Smarter Than Our Parents?**- 6A. Characterizing Data
*Using Technology: Mean, Median, and Mode in Excel*

- 6B. Measures of Variation
*Using Technology: Standard Deviation in Excel*

- 6C. The Normal Distribution
*Using Technology: Standard Scores and Percentiles in Excel*

- 6D. Statistical Inference
*In Your World: Is Polling Reliable?*

**Probability: Living With The Odds****Activity: Lotteries**- 7A. Fundamentals of Probability
- Brief Review: The Multiplication Principle

- 7B. Combining Probabilities
- 7C. The Law of Large Numbers
- 7D. Assessing Risk
- In Your World: Terrorism, Risk, and Human Psychology

- 7E. Counting and Probability
*Using Technology: Factorials**Brief Review: Factorials**Using Technology: Permutations**Using Technology: Combinations*

### IV. MODELING

**Exponential Astonishment****Activity: Towers of Hanoi**- 8A. Growth: Linear vs. Exponential
- 8B. Doubling Time and Half-Life
*Using Technology: Logarithms**Brief Review: Logarithms*

- 8C. Real Population Growth
*In Your World: Choosing Our Fate*

- 8D. Logarithmic Scales: Earthquakes, Sounds, and Acids
*In Your World: Ocean Acidification*

**Modeling Our World****Activity: Climate Modeling**- 9A. Functions: The Building Blocks of Mathematical Models
*Brief Review: The Coordinate Plane*

- 9B. Linear Modeling
*Using Technology: Graphing Functions**In Your World: Algebra’s Baghdad Connection*

- 9C. Exponential Modeling
*Brief Review: Algebra with Logarithms**Mathematical Insight: Doubling Time and Half-Life Formulas**In Your World: Changing Rates of Change*

**Modeling With Geometry****Activity: Eyes in the Sky**- 10A. Fundamentals of Geometry
*Mathematical Insight: Archimedes and Pi**In Your World: Plato, Geometry, and Atlantis*

- 10B. Problem Solving with Geometry
- 10C. Fractal Geometry

### V. FURTHER APPLICATIONS

**Mathematics and The Arts****Activity: Digital Music Files**- 11A. Mathematics and Music
*In Your World: Music Just for You*

- 11B. Perspective and Symmetry
- 11C. Proportion and the Golden Ratio

**Mathematics and Politics****Activity: Partisan Redistricting**- 12A. Voting: Does the Majority Always Rule?
*In Your World: Counting Votes–Not as Easy as It Sounds*

- 12B. Theory of Voting
- In Your World: The Electoral College and the Presidency

- 12C. Apportionment: The House of Representatives and Beyond
- 12D. Dividing the Political Pie

#### Credits

#### Answers to Quick Quizzes and Odd-Numbered Exercises

#### Index

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