cover next page > title: All the Math You'll Ever Need : A Self- teaching Guide author: Slavin, Stephen L. publisher: John Wiley & Sons, Inc. (US) isbn10 | asin: 0471317519 print isbn13: 9780471317517 ebook isbn13: 9780585256054 language: English subject Mathematics. publication date: 1999 lcc: QA39.2.S56 1999eb ddc: 513/.1 subject: Mathematics. cover next page > < previous page page_i next page > Page i All the Math You'll Ever Need A Self-Teaching Guide Revised Edition Steve Slavin < previous page page_i next page > < previous page page_ii next page > Page ii This book is printed on acid-free paper. Copyright (c) 1989, 1999 by Steve Slavin. All rights reserved. Published by John Wiley & Sons, Inc. Published simultaneously in Canada. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 750-4744. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10158-0012, (212) 850-6011, fax (212) 850-6008, E-Mail: [email protected]. This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional service. If legal advice or other expert assistance is required, the services of a competent professional person should be sought. Library of Congress Cataloging-in-Publication Data: Slavin, Steve. All the math you'll ever need: a self-teaching guide / Steve Slavin. Rev. ed. p. cm. Includes index. ISBN 0-471-31751-9 (pbk. : alk. paper) ISBN 0-471-38241-8 (cloth: alk. paper) 1. Mathematics. I . Title. QA39.2.S56 1999 510dc21 98-37205 Printed in the United States of America 10 9 8 7 6 5 4 3 2 < previous page page_ii next page > < previous page page_iii next page > Page iii Contents How to Use This Book vii Acknowledgments x 1 1 Getting Started 2 4 Simple Multiplication What Is Multiplication? 4 The Multiplication Table 5 Learning the Multiplication Table 5 3 10 Long Multiplication Testing Your Knowledge 10 About Long Multiplication 11 Practice Exercises with Two Digits 13 Multiplying Three Digits 14 Four-Digit Multiplication 15 Word Problems with Multiplication 17 4 19 Division Short Division 19 Long Division 22 Word Problems with Division 25 < previous page page_iii next page > < previous page page_iv next page > Page iv 5 28 Fast Multiplication and Division Fast Multiplication 28 Fast Division 30 How Are You Doing So Far? 31 6 32 Multiplying and Dividing with Decimals Multiplying with Decimals 32 Dividing with Decimals 34 7 36 Converting Fractions into Decimals and Decimals into Fractions Converting Fractions into Decimals 36 Converting Decimals into Fractions 38 Reducing Fractions to Their Lowest Denominators 39 8 41 Adding, Subtracting, Multiplying, and Dividing Fractions Adding Fractions 41 Subtracting Fractions 44 Multiplying by Fractions 45 Dividing by Fractions 47 Cancelling Out 49 9 51 Advanced Word Problems Words and Fractions 51 Word Problems with Money 53 10 56 Percentages Fractions, Decimals, and Percentages 56 Percentage Changes 59 Fast Percentage Changes 60 Percentage Distribution 62 Tipping 65 11 67 Negative Numbers What Are Negative Numbers? 67 Adding Negative Numbers 68 Subtracting Negative Numbers 68 Multiplying Negative Numbers 69 Division with Negative Numbers 71 < previous page page_iv next page > < previous page page_v next page > Page v 12 72 The Isolation of x The Care and Treatment of Equations 72 Isolating x 72 Addition and Subtraction with x 73 Multiplication and Division with x 74 Decimals with x 76 Negative Numbers 77 Combination Problems with x 79 13 83 Exponents and Square Roots Exponents: The Powers of x 83 Square Roots 85 Advanced Problems 87 14 89 Ratios and Proportions Ratios 89 Proportions 91 15 95 Finding the Areas of Rectangles and Triangles Areas of Rectangles 95 When We Use Area 98 Perimeters of Rectangles 100 Areas of Triangles 102 16 105 Finding the Circumferences and Areas of Circles Circumferences of Circles 105 The Area of a Circle 108 17 112 Rate, Time, and Distance Problems The Magic Formula 112 The Terms 112 Finding Distance 113 Finding Rate 115 Finding Time 120 Rate, Time, and Distance Problems 124 Speed Limit Problems 126 18 131 Finding x: Advanced Problems Age Problems 131 < previous page page_v next page > < previous page page_vi next page > Page vi Finding the Numbers 134 Nut Problems 137 19 141 Interest Rates Simple Interest 141 Compound Interest 143 Doubling Time: The Rule of 70 146 Discounting 148 The True Rate of Interest 150 20 153 Big Numbers Thousands and Millions 153 Billions and Trillions 155 Quadrillions, Quintillions, and Even Bigger Numbers 158 Multiplying Big Numbers 159 Dividing Big Numbers 160 21 163 A Taste of Statistics The Mean, the Median, and the Mode 163 22 166 Personal Finances Mark-Down Problems 166 Sales Tax Problems 170 Credit Card Problems 173 Figuring Your Federal Income Tax 176 Mortgage Interest and Taxes 179 23 183 Business Math Commissions 183 Mark-Ups 186 Discounting from List Price 188 Quantity Discounts 191 2/10 n/30 193 Chain Discounts 197 Profit 199 24 206 Review Where To from Here? 227 Index 229 < previous page page_vi next page >