| |
| |
| Preface | |
| |
| |
| Introduction | |
| |
| |
| Reference Tables | |
| |
| |
| We Can Work Together | |
| |
| |
| Pretest 1 | |
| |
| |
| Number Symbols We Use | |
| |
| |
| Counting and Tallying | |
| |
| |
| One-Digit, Two-Digit, and Larger Numbers | |
| |
| |
| Each Place Has a Value | |
| |
| |
| Even Nothing Means Something | |
| |
| |
| Old Number Systems Still Influence Us | |
| |
| |
| Chapter Test 1 | |
| |
| |
| Answers and Explanations to Chapter Test 1 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| It All Adds Up! | |
| |
| |
| Pretest 2A | |
| |
| |
| Whole Numbers | |
| |
| |
| The Language of Addition | |
| |
| |
| Help from the Number Line | |
| |
| |
| Nothing Is Still Important | |
| |
| |
| Unequal Place Addition | |
| |
| |
| No Addition Problem Is Long | |
| |
| |
| Word Problems | |
| |
| |
| Chapter Test 2A | |
| |
| |
| Answers to Chapter Test 2A | |
| |
| |
| Answers to Pretest 2A and Practice Exercises | |
| |
| |
| Pretest 2B | |
| |
| |
| Every Number Has Its Place | |
| |
| |
| Place Value and Column Addition | |
| |
| |
| Longer Columns of Numbers | |
| |
| |
| When the Columns Are Broken | |
| |
| |
| Know the Combinations | |
| |
| |
| More Difficult Word Problems Requiring Addition | |
| |
| |
| More Problems with Addition | |
| |
| |
| Chapter Test 2B | |
| |
| |
| Answers and Explanations to Chapter Test 2B | |
| |
| |
| Answers to Pretest 2B and Practice Exercises | |
| |
| |
| Take It Away! Subtraction | |
| |
| |
| Pretest 3 | |
| |
| |
| What Happens in Subtraction? | |
| |
| |
| The Language of Subtraction | |
| |
| |
| Help from the Number Line | |
| |
| |
| Unequal Place Subtraction | |
| |
| |
| Word Problems | |
| |
| |
| Subtraction by Addition | |
| |
| |
| Numbers Can Be Exchanged | |
| |
| |
| Exchanging in Subtraction | |
| |
| |
| More Difficult Word Problems Requiring Subtraction | |
| |
| |
| Chapter Test 3 | |
| |
| |
| Answers and Explanations to Chapter Test 3 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Remember Those Times? Multiplication | |
| |
| |
| Pretest 4 | |
| |
| |
| Multiplication Is Repeated Addition | |
| |
| |
| Help from the Number Line | |
| |
| |
| Multiplying Whole Numbers | |
| |
| |
| Those Old Combinations Again | |
| |
| |
| Multiplying by a One-Digit Number | |
| |
| |
| Word Problems | |
| |
| |
| Multiplying by a Number Having Two or More Digits | |
| |
| |
| Multiplication Applied to Measuring | |
| |
| |
| More Difficult Word Problems Requiring Multiplication | |
| |
| |
| Chapter Test 4 | |
| |
| |
| Answers and Explanations to Chapter Test 4 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Let's Divide It Up! | |
| |
| |
| Pretest 5 | |
| |
| |
| What Is Division? | |
| |
| |
| The Language of Division | |
| |
| |
| You Still Need Those Combinations | |
| |
| |
| Help from the Number Line | |
| |
| |
| Dividing by a One-Digit Number | |
| |
| |
| When the Quotient Contains Fewer Places Than the Dividend | |
| |
| |
| Zero as a Place Holder | |
| |
| |
| Dividing and Leaving a Remainder | |
| |
| |
| Carrying Remainders | |
| |
| |
| Word Problems Requiring Division | |
| |
| |
| Dividing by More Than a One-Digit Number | |
| |
| |
| More Difficult Word Problems Requiring Division | |
| |
| |
| Mean, Median, and Mode | |
| |
| |
| Division Applied to Area Measurement | |
| |
| |
| Chapter Test 5 | |
| |
| |
| Answers and Explanations to Chapter Test 5 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| The Important Parts-Fractions | |
| |
| |
| Pretest 6 | |
| |
| |
| What Is a Fraction? | |
| |
| |
| The Language of a Fraction | |
| |
| |
| What Kinds of Fractions Are There? | |
| |
| |
| Simplifying Fractions | |
| |
| |
| Equivalent Fractions | |
| |
| |
| Which Fraction Is Larger or Smaller? | |
| |
| |
| Changing Improper Fractions to Mixed Numbers | |
| |
| |
| Changing Mixed Numbers to Improper Fractions | |
| |
| |
| Chapter Test 6 | |
| |
| |
| Answers and Explanations to Chapter Test 6 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Piece by Piece-Adding Fractions | |
| |
| |
| Pretest 7 | |
| |
| |
| Fractions Can Be Added | |
| |
| |
| After Adding, What Next? | |
| |
| |
| Fractions Whose Sum Is One | |
| |
| |
| Fractions Whose Sum Is Greater Than One | |
| |
| |
| Mixed Numbers Can Also Be Added | |
| |
| |
| Mixed Numbers Whose Sum May Be Simplified | |
| |
| |
| Mixed Numbers Whose Fractional Parts Add Up to One | |
| |
| |
| Mixed Numbers with Fractional Parts Whose Sum Is Greater Than One | |
| |
| |
| Word Problems | |
| |
| |
| What About Those Denominators? | |
| |
| |
| Mixing Them All Up | |
| |
| |
| More Difficult Word Problems | |
| |
| |
| Chapter Test 7 | |
| |
| |
| Answers and Explanations to Chapter Test 7 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Subtracting Fractions | |
| |
| |
| Pretest 8 | |
| |
| |
| Subtracting Fractions | |
| |
| |
| After Subtracting, What Next? | |
| |
| |
| Like Fractions Whose Difference Is One or Greater Than One | |
| |
| |
| Mixed Numbers Can Also Be Subtracted | |
| |
| |
| Exchanging in Subtracting Fractions | |
| |
| |
| Exchanging in Subtracting Mixed Numbers (Like Denominators) | |
| |
| |
| Word Problems | |
| |
| |
| Subtracting Fractions with Unlike Denominators | |
| |
| |
| Subtracting Mixed Numbers | |
| |
| |
| Exchanging in Subtracting Mixed Numbers (Unlike Denominators) | |
| |
| |
| More Difficult Word Problems | |
| |
| |
| Chapter Test 8 | |
| |
| |
| Answers and Explanations to Chapter Test 8 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Multiplying and Dividing Fractions | |
| |
| |
| Pretest 9A | |
| |
| |
| The Product of Two Fractions | |
| |
| |
| Cancellation | |
| |
| |
| Finding Parts of Whole Numbers | |
| |
| |
| Multiplying Three or More Fractions | |
| |
| |
| Multiplying Mixed Numbers | |
| |
| |
| Word Problems | |
| |
| |
| Chapter Test 9A | |
| |
| |
| Answers and Explanations to Chapter Test 9A | |
| |
| |
| Answers to Pretest 9A and Practice Exercises | |
| |
| |
| Pretest 9B | |
| |
| |
| The Quotient of Two Fractions | |
| |
| |
| Dividing Mixed Numbers | |
| |
| |
| Word Problems | |
| |
| |
| Chapter Test 9B | |
| |
| |
| Answers and Explanations to Chapter Test 9B | |
| |
| |
| Answers to Pretest 9B and Practice Exercises | |
| |
| |
| What's the Point? Decimals | |
| |
| |
| Pretest 10 | |
| |
| |
| Introducing Decimals | |
| |
| |
| Reading and Writing Decimals | |
| |
| |
| Which Fraction Equals Which Decimal? | |
| |
| |
| Comparing Decimals | |
| |
| |
| Rounding Off Decimals | |
| |
| |
| Chapter Test 10 | |
| |
| |
| Answers and Explanations to Chapter Test 10 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Adding and Subtracting Decimals | |
| |
| |
| Pretest 11A | |
| |
| |
| Adding Decimals | |
| |
| |
| Adding Mixed Decimals | |
| |
| |
| Word Problems Requiring the Addition of Decimals | |
| |
| |
| Chapter Test 11A | |
| |
| |
| Answers and Explanations to Chapter Test 11A | |
| |
| |
| Answers to Pretest 11A and Practice Exercises | |
| |
| |
| Pretest 11B | |
| |
| |
| Subtracting Decimals | |
| |
| |
| Subtracting Mixed Decimals | |
| |
| |
| Word Problems Requiring the Subtraction of Decimals | |
| |
| |
| Chapter Test 11B | |
| |
| |
| Answers and Explanations to Chapter Test 11B | |
| |
| |
| Answers to Pretest 11B and Practice Exercises | |
| |
| |
| Multiplying Decimals | |
| |
| |
| Pretest 12 | |
| |
| |
| Multiplying a Decimal by a Whole Number | |
| |
| |
| Multiplying Decimal Numbers | |
| |
| |
| Special Multipliers of 10, 100, 1,000, and so on | |
| |
| |
| Word Problems Requiring the Multiplication of Decimals | |
| |
| |
| Chapter Test 12 | |
| |
| |
| Answers and Explanations to Chapter Test 12 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Dividing Decimals | |
| |
| |
| Pretest 13 | |
| |
| |
| Dividing a Decimal by a Whole Number | |
| |
| |
| Zero As a Place Holder in the Quotient | |
| |
| |
| Changing a Fraction into a Decimal | |
| |
| |
| Dividing a Decimal by a Decimal | |
| |
| |
| Zero As a Place Holder in the Dividend | |
| |
| |
| Word Problems Requiring the Division of Decimals | |
| |
| |
| Special Divisors of 10, 100, 1,000, and so on | |
| |
| |
| Changing a Decimal into a Fraction | |
| |
| |
| Rewriting Decimals with Fractions | |
| |
| |
| Word Problems Combining Fractions and Decimals | |
| |
| |
| Chapter Test 13 | |
| |
| |
| Answers and Explanations to Chapter Test 13 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Percents | |
| |
| |
| Pretest 14 | |
| |
| |
| Meaning of Percent | |
| |
| |
| Changing Percents to Decimals | |
| |
| |
| Changing Decimals to Percents | |
| |
| |
| Changing Percents to Fractions | |
| |
| |
| Changing Fractions to Percents | |
| |
| |
| Finding a Percent of a Number | |
| |
| |
| Finding the Percent That One Number Is of Another | |
| |
| |
| Finding a Number When a Percent of It is Known | |
| |
| |
| Chapter Test 14 | |
| |
| |
| Answers and Explanations to Chapter Test 14 | |
| |
| |
| Answers to Pretest and Practice Exercises | |
| |
| |
| Measurement | |
| |
| |
| Pretest 15 | |
| |
| |
| Units of Measurement | |
| |
| |
| Adding Measures | |
| |
| |
| Subtracting Measures | |
| |
| |
| Multiplying Measures | |
| |
| |
| Dividing Measures | |
| |
| |
| Word Problems Requiring Measures | |
| |
| |
| Converting Metric Measures | |
| |
| |
| Chapter Test 15 | |