Steve Slavin

All the Math You'll Ever Need


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       Wiley Self‐Teaching Guides teach practical skills in mathematics and science. Look for them at your local bookstore.

      Other Science and Math Wiley Self‐Teaching Guides:

       Science

       Basic Physics: A Self‐Teaching Guide, Third Edition, by Karl F. Kuhn and Frank Noschese

       Biology: A Self‐Teaching Guide, Third Edition, by Steven D. Garber

       Chemistry: A Self‐Teaching Guide, Third Edition, by Clifford C. Houk, Richard Post, and Chad A. Snyder

       Math

       All the Math You'll Ever Need: A Self‐Teaching Guide, by Steve Slavin

       Practical Algebra: A Self‐Teaching Guide, Second Edition, by Peter H. Selby and Steve Slavin

       Quick Algebra Review: A Self‐Teaching Guide, by Peter H. Selby and Steve Slavin

       Quick Business Math: A Self‐Teaching Guide, by Steve Slavin

       Quick Calculus: A Self‐Teaching Guide, Second Edition, by Daniel Kleppner and Norman Ramsey

      A Self-Teaching Guide

       Third Edition

       Carolyn C. Wheater

       Steve Slavin

      Copyright © 2022 John Wiley & Sons. All rights reserved.

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      Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

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      Wiley also publishes its books in a variety of electronic formats and by print-on-demand. Some material included with standard print versions of this book may not be included in e-books or in print-on-demand. If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at http://booksupport.wiley.com. For more information about Wiley products, visit www.wiley.com.

       Library of Congress Cataloging-in-Publication Data is Available:

      ISBN 9781119719182 (paperback)

      ISBN 9781119719229 (epdf)

      ISBN 9781119719199 (ebook)

      Cover Design: Paul McCarthy

      Cover Image: © Frankramspott/Getty Images

      This book is organized by chapter with periodic self-tests throughout each chapter. Their purpose is to make sure you comprehend material before moving on. If you find that you have made an error, look back at the preceding material to make sure you understand the correct answer. The information is arranged so that it builds on what comes before. To fully understand the information at the end of a chapter, you must first have completed all of the preceding self-tests.

      The format of this book lends itself to proper pacing. When you're going too slowly, you'll say to yourself, “This stuff is so easy—I'm getting bored.” You'll be able to skip a few sections and move on to new material. But when you find yourself pounding your fists against the wall and despairing of ever learning math, that may mean you've been moving ahead a bit too quickly.

      If you feel that you don't need to read a particular chapter, you may want to take the self-tests anyway. These provide not only a quick review of the subject matter covered in the chapter, but also a good way of gauging what you already know.

      Should you find, on the other hand, that you're having trouble doing a certain type of problem, it will be made clear to you that you need to review an earlier section. For example, no one can do simple division without knowing the multiplication table, so everyone who gets stuck at this point will be sent back to learn that table once and for all. Once that's accomplished, it will be clear sailing through the next few chapters.

      This book provides a fast-paced review of arithmetic and elementary algebra, with a smattering of statistics thrown in. It is intended to refresh the memory of the high school or college graduate.

      The main emphasis here is on getting you to rely on your own mathematical skills. No longer will you be intimidated trying to calculate tips. No longer will you need to whip out your pocket calculator to do simple arithmetic. And you