## Summary

**Basic Mathematical Skills with Geometry, 9/e, by Baratto, Bergman, and Hutchison** is part of the latest offerings in the successful Hutchison Series in Mathematics. The book is designed for a one-semester course in basic math and is appropriate for lecture, learning center, laboratory, and self-paced settings. The ninth edition continues the series’ hallmark approach of encouraging mastery of mathematics through careful practice. The text provides detailed, straightforward explanations and accessible pedagogy to help students grow their math skills from the ground up. The authors use a three-pronged approach of communication, pattern recognition, and problem solving to present concepts understandably, stimulate critical-thinking skills, and stress reading and communication skills in order to help students become effective problem-solvers. Features such as Tips for Student Success, Check Yourself exercises, and Activities underscore this approach and the underlying philosophy of mastering math through practice. Exercise sets have been significantly expanded and are now better-organized, and applications are now more thoroughly integrated throughout the text. The text is fully-integrated with McGraw-Hill’s online learning system, Connect Math Hosted by ALEKS Corp, and is available with ALEKS 360.

## Table of Contents

# Basic Mathematical Skills with Geometry, 9th edition, by Baratto, Bergman, and Hutchison

### Preface

### Applications Index

### Chapter 1- Operations on Whole Numbers

#### 1.1 The Decimal Place-Value System

#### 1.2 Addition

#### 1.3 Subtraction

#### Activity 1: Population Changes

#### 1.4 Rounding, Estimation, and Order

#### 1.5 Multiplication

#### 1.6 Division

#### Activity 2: Restaurant Management

#### 1.7 Exponential Notation and the Order of Operations

#### Activity 3: Population Growth

#### Chapter 1: Summary

#### Chapter 1: Summary Exercises

#### Chapter 1: Chapter Test

### Chapter 2- An Introduction to Fractions

#### Chapter 2: Prerequisite Check

#### 2.1 Prime Numbers and Divisibility

#### 2.2 Factoring Whole Numbers

#### 2.3 Fraction Basics

#### 2.4 Simplifying Fractions

#### Activity 4: Daily Reference Values

#### 2.5 Multiplying Fractions

#### Activity 5: Overriding a Presidential Veto

#### 2.6 Dividing Fractions

#### Activity 6: Adding a Recipe

#### Chapter 2: Summary

#### Chapter 2: Summary Exercises

#### Chapter 2: Chapter Test

#### Chapters 1-2: Cumulative Review

### Chapter 3- Adding and Subtracting Fractions

#### Chapter 3: Prerequisite Check

#### 3.1 Adding and Subtracting Like Fractions

#### 3.2 Common Multiples

#### 3.3 Adding and Subtracting Unlike Fractions

#### Activity 7: Kitchen Subflooring

#### 3.4 Adding and Subtracting Mixed Numbers

#### Activity 8: Sharing Costs

#### 3.5 Order of Operations with Fractions

#### Activity 9: Aerobic Exercise

#### Chapter 3: Summary

#### Chapter 3: Summary Exercises

#### Chapter 3: Chapter Test

#### Chapters 1-3: Cumulative Review

### Chapter 4- Decimals

#### Chapter 4: Prerequisite Check

#### 4.1 Place Value and Rounding

#### 4.2 Adding and Subtracting Decimals

#### 4.3 Multiplying Decimals

#### Activity 10: Safe Dosages?

#### 4.4 Dividing Decimals

#### Activity 11: The Tour de France

#### 4.5 Converting Between Fractions and Decimals

#### Activity 12: Terminate or Repeat?

#### Chapter 4: Summary

#### Chapter 4: Summary Exercises

#### Chapter 4: Chapter Test

#### Chapters 1-4: Cumulative Review

### Chapter 5- Ratios and Proportions

#### Chapter 5: Prerequisite Check

#### 5.1 Ratios

#### Activity 13: Working with Ratios

#### 5.2 Rates and Unit Pricing

#### Activity 14: Baseball Statistics

#### 5.3 Proportions

#### 5.4 Solving Proportions

#### Activity 15: Burning Calories

#### Chapter 5: Summary

#### Chapter 5: Summary Exercises

#### Chapter 5: Chapter Test

#### Chapters 1-5: Cumulative Review

### Chapter 6- Percents

#### Chapter 6: Prerequisite Check

#### 6.1 Writing Percents as Fractions and Decimals

#### 6.2 Writing Decimals as Fractions and Percents

#### Activity 16: M&M’s

#### 6.3 Solving Percent Problems

#### Activity 17: A Matter of Interest

#### 6.4 Percent Applications

#### Activity 18: Population Changes Revisited

#### Chapter 6: Summary

#### Chapter 6: Summary Exercises

#### Chapter 6: Chapter Test

#### Chapters 1-6: Cumulative Review

### Chapter 7- Measurement

#### Chapter 7: Prerequisite Check

#### 7.1 The U.S. Customary System of Measurement

#### Activity 19: Measurements

#### 7.2 Metric Units of Length

#### Activity 20: Computers and Measurements

#### 7.3 Metric Units of Weight and Volume

#### 7.4 Converting Between Measurement Systems

#### Activity 21: Tool Sizes

#### Chapter 7: Summary

#### Chapter 7: Summary Exercises

#### Chapter 7: Chapter Test

#### Chapters 1-7: Cumulative Review

### Chapter 8- Geometry

#### Chapter 8: Prerequisite Check

#### 8.1 Lines and Angles

#### 8.2 Perimeter and Area

#### Activity 22: Know the Angles

#### 8.3 Circles and Composite Figures

#### Activity 23: Exploring Circles

#### 8.4 Triangles

#### Activity 24: Composite Geometric Figures

#### 8.5 Square Roots and the Pythagorean Theorem

#### 8.6 Solid Geometry

#### Chapter 8: Summary

#### Chapter 8: Summary Exercises

#### Chapter 8: Chapter Test

#### Chapters 1-8: Cumulative Review

### Chapter 9- Data Analysis and Statistics

#### Chapter 9: Prerequisite Check

#### 9.1 Mean, Median, and Mode

#### Activity 25: Car Color Preferences

#### 9.2 Describing Data Sets

#### Activity 26: Outliers in Scientific Data

#### 9.3 Tables and Bar Graphs

#### 9.4 Line Graphs and Pie Charts

#### Activity 27: Graphing Car Color Data

#### Chapter 9: Summary

#### Chapter 9: Summary Exercises

#### Chapter 9: Chapter Test

#### Chapters 1-9: Cumulative Review

### Chapter 10- The Real Number System

#### Chapter 10: Prerequisite Check

#### 10.1 Real Numbers and Order

#### 10.2 Adding Real Numbers

#### Activity 28: Hometown Weather

#### 10.3 Subtracting Real Numbers

#### Activity 29: Plus/Minus Ratings in Hockey

#### 10.4 Multiplying Real Numbers

#### 10.5 Dividing Real Numbers and the Order of Operations

#### Activity 30: Building Molecules

#### Chapter 10: Summary

#### Chapter 10: Summary Exercises

#### Chapter 10: Chapter Test

#### Chapters 1-10: Cumulative Review

### Chapter 11- The Real Number System

#### Chapter 11: Prerequisite Check

#### 11.1 From Arithmetic to Algebra

#### 11.2 Evaluating Algebraic Expressions

#### Activity 31: Evaluating Net Pay

#### 11.3 Simplifying Algebraic Expressions

#### Activity 32: Writing Equations

#### 11.4 Solving Equations with the Addition Property

#### Activity 33: Graphing Solutions

#### 11.5 Solving Equations with the Multiplication Property

#### 11.6 Combining the Rules to Solve Equations

#### Chapter 11: Summary

#### Chapter 11: Summary Exercises

#### Chapter 11: Chapter Test

#### Chapters 1-11: Cumulative Review

### Brief Glossary

### Answers to Prerequisite Checks

### Reading Your Text

### Summary Exercises

### Chapter Tests

### Cumulative Reviews

### Index