All the Math You'll Ever Need: A Self-Teaching Guide

ISBN-13: 9781119719182 / Angielski / Miękka / 2022 / 336 str.

Steve (New York University; New York Institute of Technology

Spis treści

How to Use This Book viiAcknowledgments1 Getting Started2 Essential ArithmeticAdditionWhat Is Multiplication?,SubtractionDivision3 Focus on MultiplicationThe 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 DivisionShort Division,Long Division,Word Problems with Division,5 Mental MathFast Multiplication,Fast Division,How Are You Doing So Far?,Mental Math Tricks6 Positive and Negative NumbersWhat 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 FractionsChanging the Look of Fractions,Adding Fractions,Subtracting Fractions,Multiplying by Fractions,Dividing by Fractions,8 DecimalsAdding and Subtraction with Decimals,Multiplying with Decimals,Dividing with Decimals,9 Converting Fractions and DecimalsConverting Fractions into Decimals,Converting Decimals into Fractions,Simplifying Fractions,Repeating DecimalsNon-terminating Decimals10 Ratios and ProportionsRatios,Proportions,11 Solving ProblemsWords and Fractions,Word Problems with Money,12 Area and PerimeterAreas of Rectangles,When We Use Area,Perimeters of Rectangles,Areas of Triangles,13 Circumference and AreaCircumferences of Circles,The Area of a Circle,14 PercentagesFractions, Decimals, and Percents,Percent Change,Fast Percent Change,Percent Distribution,Tipping,15 Solving Simple EquationsThe 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 RootsExponents,Roots,Advanced Problems,17 Very Large and Very Small NumbersWriting Large Numbers,Scientific Notation,Millions, Billions, Trillions, and BeyondMultiplying Large Numbers,Dividing Large Numbers,Scientific Notation for Very Small Numbers,18 Algebra ProblemsAge Problems,Finding the Numbers,Mixture Problems,19 Interest RatesSimple Interest,Compound Interest,A Word on Continuous Compounding,Doubling Time: The Rule of 70,Discounting,20 Rate, Time and DistanceThe Magic Formula,The Terms,Finding Distance,Finding Rate,Finding Time,Rate, Time, and Distance Problems,Speed Limit Problems,21 Personal FinancesMark-Down Problems,Sales Tax Problems,Credit Cards,Federal Income Tax,Mortgage Interest and Taxes,22 Business MathCommissions,Mark-Ups,Discounting from List Price,Quantity Discounts,2/10 n/30,Chain Discounts,Profit23 A Taste of StatisticsDistributions of Data,Measures of Center,Measures of Spread,Estimating,24 ReviewIndex

O autorze

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.