All the Math You’ll Ever Need, Third Edition is a practical, accessible guide that helps readers understand mathematical concepts that directly apply to daily life tasks. From learning to calculate monthly mortgage payments and time to pay off a credit card balance, this book helps readers understand how and why mathematical concepts work. This revised edition will reflect recent changes in rates, prices, and wages. It will also incorporate information on intelligent and efficient use of calculators and introduce mental math techniques that improve estimation skills. The primary addition to this revision is a new statistics chapter that features basic coverage of measures of spread and understanding common graphs.
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Summary
Author Biography
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.
Table of Contents
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
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