All the Math You'll Ever Need (eBook)

Carolyn C. WHEATER taught math and computer technology for more than 40 years to students from preschool through college, including 25 years at the Nightingale-Bamford School in New York City. Now retired, she continues to write about mathematics and test preparation. She is a member of the National Council of Teachers of Mathematics. Steve SLAVIN has a PhD in economics from New York University, and taught economics for 31 years at New York Institute of Technology, Brooklyn College, and New Jersey's Union County College of Mathematics.

How to Use This Book vii

Acknowledgments

1 Getting Started

2 Essential Arithmetic

Addition

What Is Multiplication?,

Subtraction

Division

3 Focus on Multiplication

The Multiplication Table,

Learning the Multiplication Table,

Testing Your Knowledge,

About Long Multiplication,

Practice Exercises with Two Digits,

Multiplying Three Digits,

Four-Digit Multiplication,

Word Problems with Multiplication,

4 Focus on Division

Short Division,

Long Division,

Word Problems with Division,

5 Mental Math

Fast Multiplication,

Fast Division,

How Are You Doing So Far?,

Mental Math Tricks

6 Positive and Negative Numbers

What Are Negative Numbers?,

Adding Positive and Negative Numbers,

Subtracting Positive and Negative Numbers,

Multiplying Positive and Negative Numbers,

Division with Positive and Negative Numbers,

7 Fractions

Changing the Look of Fractions,

Adding Fractions,

Subtracting Fractions,

Multiplying by Fractions,

Dividing by Fractions,

8 Decimals

Adding and Subtraction with Decimals,

Multiplying with Decimals,

Dividing with Decimals,

9 Converting Fractions and Decimals

Converting Fractions into Decimals,

Converting Decimals into Fractions,

Simplifying Fractions,

Repeating Decimals

Non-terminating Decimals

10 Ratios and Proportions

Ratios,

Proportions,

11 Solving Problems

Words and Fractions,

Word Problems with Money,

12 Area and Perimeter

Areas of Rectangles,

When We Use Area,

Perimeters of Rectangles,

Areas of Triangles,

13 Circumference and Area

Circumferences of Circles,

The Area of a Circle,

14 Percentages

Fractions, Decimals, and Percents,

Percent Change,

Fast Percent Change,

Percent Distribution,

Tipping,

15 Solving Simple Equations

The Care and Treatment of Equations,

Isolating x,

Addition and Subtraction with x,

Multiplication and Division with x,

Fractions and Decimals in Equations,

Negative Numbers,

Multi-Step Equations,

16 Powers and Roots

Exponents,

Roots,

Advanced Problems,

17 Very Large and Very Small Numbers

Writing Large Numbers,

Scientific Notation,

Millions, Billions, Trillions, and Beyond

Multiplying Large Numbers,

Dividing Large Numbers,

Scientific Notation for Very Small Numbers,

18 Algebra Problems

Age Problems,

Finding the Numbers,

Mixture Problems,

19 Interest Rates

Simple Interest,

Compound Interest,

A Word on Continuous Compounding,

Doubling Time: The Rule of 70,

Discounting,

20 Rate, Time and Distance

The Magic Formula,

The Terms,

Finding Distance,

Finding Rate,

Finding Time,

Rate, Time, and Distance Problems,

Speed Limit Problems,

21 Personal Finances

Mark-Down Problems,

Sales Tax Problems,

Credit Cards,

Federal Income Tax,

Mortgage Interest and Taxes,

22 Business Math

Commissions,

Mark-Ups,

Discounting from List Price,

Quantity Discounts,

2/10 n/30,

Chain Discounts,

Profit

23 A Taste of Statistics

Distributions of Data,

Measures of Center,

Measures of Spread,

Estimating,

24 Review

Index