Arithmetic and Algebra Again by Immergut, Brita -- Read -- Imperial Library of Trantor

Index

Cover Title Page Copyright Page Contents Preface to the Second Edition To the Instructor Tips for Parents and Tutors To the Student Part One Arithmetic

Chapter 1 The Arithmetic of Whole Numbers

Where it all began

1.1 Basic Ideas

Vocabulary

1.2 Operations

The Number Line Addition Multiplication Properties Subtraction Division

1.3 Using a Calculator 1.4 Order of Operations

Checkpoint Summary Vocabulary Check List Readiness Check

1.5 Place Value and Names for Larger Numbers 1.6 Rounding and Approximating Numbers

Rounding Approximating the Answer

1.7 Applications

Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 2 Integers

The other side of zero

2.1 Absolute Value

The Number Line for the Integers Absolute Value

2.2 Addition and Subtraction of Integers

Addition Applications Subtraction Applications Combining More Than Two Integers Positive and Negative Numbers on the Calculator

2.3 Multiplication and Division of Integers

Multiplication Division Multiplication and Division with More Than Two Numbers Applications

2.4 Exponents and Radicals

Exponential Notation Radicals

2.5 Order of Operations

Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 3 Decimals and Percents

Ordering by tens

3.1 Decimals

Place Values Reading Decimals Ordering Decimals Rounding Decimals

3.2 Basic Operations with Decimals

Addition and Subtraction Multiplication and Division by Powers of 10 Multiplication Division Terminating and Nonterminating Decimals Irrational Numbers Applications

3.3 Percents

Conversions from Percent to Decimal Conversions from Decimal to Percent “Percent of” Estimating the Answer Applications Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 4 Fractions

The broken numbers

4.1 Vocabulary 4.2 Equivalent Fractions and Simplifying

Equivalent Fractions Reducing to Lowest Terms Divisibility by 2, 3, and 5 Prime Factorization The Greatest Common Factor Applications

4.3 Multiplication and Division of Fractions

Multiplication Division

4.4 Addition and Subtraction of Fractions

Addition Adding Mixed Numbers Subtracting Subtracting Mixed Numbers

4.5 Fractions with the Calculator 4.6 Applications 4.7 Relationships among Decimals, Fractions, and Percents

Decimals to Fractions Fractions to Decimals Percents into Fractions Fractions into Percents

4.8 Ordering Fractions

Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 5 Measurements

Which wrench do I use?

5.1 Powers of 10

Multiplication and Division by Powers of 10

5.2 Scientific Notation 5.3 The Metric System

Area Volume Applications

5.4 The Customary System of Measurement 5.5 Conversions between the Customary and Metric Systems

Summary Vocabulary Check List Review Exercises Readiness Check

Part Two Algebra

Chapter 6 Basic Operations

Letters for numbers

6.1 Vocabulary 6.2 Addition and Subtraction 6.3 Exponential Notation

Multiplying Numbers in Exponential Notation Power to a Power Product to a Power

6.4 Division with Exponents

Zero as a Power Negative Exponents

6.5 The Distributive Principle 6.6 Factoring 6.7 Evaluating Expressions 6.8 Applications

Formulas Geometry Physics Business Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 7 Equations and Inequalities

Mathematical sentences

7.1 Solving Equations

Equations with One Variable Equations with Variables on Both Sides

7.2 Solving Equations with Fractions and Decimals 7.3 Formulas

Geometry Physics Business

7.4 Inequalities 7.5 Systems of Linear Equations

The Elimination or Addition Method The Substitution Method Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 8 Graphing

The art in mathematics

8.1 Drawing Graphs 8.2 Graphing with Ordered Pairs

Graphing Ordered Pairs

8.3 Graphing Related Pairs

Vertical and Horizontal Lines

8.4 Slope and y-Intercept

Slope Intercept

8.5 Graphing Using Slope and y-Intercept 8.6 The Graphing Calculator

Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 9 Word Problems

The agony or joy of mathematics

9.1 Translating Words to Symbols 9.2 Writing Equations and Inequalities

Equations Inequalities

9.3 Strategies for Solving Word Problems

Number Problems Percent Problems Ratio and Proportion Problems Geometry Problems Motion Problems Age Problems Work Problems Coin and Mixture Problems

9.4 Additional Word Problems

Summary Vocabulary Check List Review Exercises Readiness Check

Part Three Practical Mathematics

Chapter 10 Applications

Using mathematics

10.1 Percents 10.2 Business Problems

Payroll Inventory Postage

10.3 Shopping

Best Buys International Best Buys

10.4 Personal Finance

Bank Accounts Stock Market Stocks and Bonds Depreciation

10.5 Taxes

Income Tax Sales Tax Property Tax

10.6 Travel

Time Problems Money Conversions Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 11 Mathematics in Banking

Pay interest and earn interest

11.1 Loans and Mortgages

Simple Interest Loans Credit Cards Mortgages

11.2 Bank Interest

Formula for Compound Interest Annual Yield The Rule of 70 Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 12 Statistics

Organizing information

12.1 Descriptive Statistics

Frequency Distribution Graphs Grouped Intervals

12.2 Measures of Central Tendency and Dispersion

Mean, Median, and Mode Measures of Variance and Dispersion Standard Deviation Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 13 Probability

Heads or tails?

13.1 Probability and Odds

Probability Odds

13.2 Sets

Set Notation Venn Diagrams Summary Vocabulary Check List Review Exercises Readiness Check

Chapter 14 Calculators

Use of technology

14.1 Arithmetic

Basic Operations with Whole Numbers, Decimals, and Percents Integers Powers Fractions

14.2 Algebra

Formulas

14.3 Practical Mathematics

Answers to Exercises Answers to Readiness Checks Index

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