A comprehensive and hands-on guide to crucial math concepts and terminology
In the newly revised third edition of All the Math You’ll Ever Need: A Self-Teaching Guide, veteran math and computer technology teacher Carolyn Wheater and veteran mathematics author Steve Slavin deliver a practical and accessible guide to math you can use every day and apply to a wide variety of life tasks. From calculating monthly mortgage payments to the time you’ll need to pay off a credit card, this book walks you through the steps to understanding basic math concepts.
This latest edition is updated to reflect recent changes in interest rates, prices, and wages, and incorporates information on the intelligent and efficient use of calculators and mental math techniques. It also offers:
* A brand-new chapter on hands-on statistics to help readers understand common graphs
* An easy-to-use-format that provides an interactive method with frequent questions, problems, and self-tests
* Complete explanations of necessary mathematical concepts that explore not just how math works, but also why it works
Perfect for anyone seeking to make practical use of essential math concepts and strategies in their day-to-day life, All the Math You’ll Ever Need is an invaluable addition to the libraries of students who want a bit of extra help applying math in the real world.
Tabella dei contenuti
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
Circa l’autore
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 Ph D 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.
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