Mark Zegarelli - Basic Math & Pre-Algebra All-in-One For Dummies (+ Chapter Quizzes Online)

Basic Math & Pre-Algebra All-in-One For Dummies®

Published by: John Wiley & Sons, Inc.,111 River Street, Hoboken, NJ 07030-5774, www.wiley.com

Copyright © 2022 by John Wiley & Sons, Inc., Hoboken, New Jersey

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 the prior written permission of the Publisher. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions .

Trademarks:Wiley, For Dummies, the Dummies Man logo, Dummies.com, Making Everything Easier, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc., and may not be used without written permission. All other trademarks are the property of their respective owners. John Wiley & Sons, Inc., is not associated with any product or vendor mentioned in this book.

LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: WHILE THE PUBLISHER AND AUTHORS HAVE USED THEIR BEST EFFORTS IN PREPARING THIS WORK, THEY MAKE NO REPRESENTATIONS OR WARRANTIES WITH RESPECT TO THE ACCURACY OR COMPLETENESS OF THE CONTENTS OF THIS WORK AND SPECIFICALLY DISCLAIM ALL WARRANTIES, INCLUDING WITHOUT LIMITATION ANY IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. NO WARRANTY MAY BE CREATED OR EXTENDED BY SALES REPRESENTATIVES, WRITTEN SALES MATERIALS OR PROMOTIONAL STATEMENTS FOR THIS WORK. THE FACT THAT AN ORGANIZATION, WEBSITE, OR PRODUCT IS REFERRED TO IN THIS WORK AS A CITATION AND/OR POTENTIAL SOURCE OF FURTHER INFORMATION DOES NOT MEAN THAT THE PUBLISHER AND AUTHORS ENDORSE THE INFORMATION OR SERVICES THE ORGANIZATION, WEBSITE, OR PRODUCT MAY PROVIDE OR RECOMMENDATIONS IT MAY MAKE. THIS WORK IS SOLD WITH THE UNDERSTANDING THAT THE PUBLISHER IS NOT ENGAGED IN RENDERING PROFESSIONAL SERVICES. THE ADVICE AND STRATEGIES CONTAINED HEREIN MAY NOT BE SUITABLE FOR YOUR SITUATION. YOU SHOULD CONSULT WITH A SPECIALIST WHERE APPROPRIATE. 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.

For general information on our other products and services, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002. For technical support, please visit https://hub.wiley.com/community/support/dummies .

Wiley publishes in a variety of print and 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 Control Number: 2022932610

ISBN 978-1-119-86708-1 (pbk); ISBN 978-1-119-86748-7 (ebk); ISBN 978-1-119-86726-5 (ebk)

1 Cover

2 Title Page

3 Copyright

4 Introduction About This Book Foolish Assumptions Icons Used in This Book Beyond the Book Where to Go from Here

5 Unit 1: Getting Started with Basic Math & Pre-Algebra Chapter 1: Playing the Numbers Game Inventing Numbers Understanding Number Sequences Four Important Sets of Numbers Chapter 2: The Big Four Operations The Big Four Operations Applying the Big Four Operations to Larger Numbers

6 Unit 2: The Big Four Operations: Addition, Subtraction, Multiplication, and Division Chapter 3: Counting on Success: Numbers and Digits Knowing Your Place Value Close Enough for Rock ‘n’ Roll: Rounding and Estimating Practice Questions Answers and Explanations Whaddya Know? Chapter 3 Quiz Answers to Chapter 3 Quiz Chapter 4: Staying Positive with Negative Numbers Understanding Where Negative Numbers Come From Sign-Switching: Understanding Negation and Absolute Value Addition and Subtraction with Negative Numbers Knowing Signs of the Times (and Division) for Negative Numbers Practice Questions Answers and Explanations Whaddya Know? Chapter 4 Quiz Answers to Chapter 4 Quiz Chapter 5: Putting the Big Four Operations to Work Switching Things Up with Inverse Operations and the Commutative Property Getting with the In-Group: Parentheses and the Associative Property Understanding Inequalities Moving Beyond the Big Four: Exponents and Square Roots Practice Questions Answers and Explanations Whaddya Know? Chapter 5 Quiz Answers to Chapter 5 Quiz

7 Unit 3: Getting a Handle on Whole Numbers Chapter 6: Please Excuse My Dear Aunt Sally: Evaluating Arithmetic Expressions with PEMDAS The Three E’s of Math: Equations, Expressions, and Evaluation Introducing Order of Operations (PEMDAS) Handling Powers Responsibly Bringing It All Together: The Order of Operations Practice Questions Answers and Explanations Whaddya Know? Chapter 6 Quiz Answers to Chapter 6 Quiz Chapter 7: Turning Words into Numbers: Basic Math Word Problems Dispelling Two Myths about Word Problems Solving Basic Word Problems Solving More-Complex Word Problems Practice Questions Answers and Explanations Whaddya Know? Chapter 7 Quiz Answers to Chapter 7 Quiz Chapter 8: Divisibility and Prime Numbers Knowing the Divisibility Tricks Identifying Prime and Composite Numbers Practice Questions Answers and Explanations Whaddya Know? Chapter 8 Quiz Answers to Chapter 8 Quiz Chapter 9: Divided Attention: Factors and Multiples Knowing Six Ways to Say the Same Thing Understanding Factors and Multiples Finding Fabulous Factors Generating a Number’s Factors Decomposing a Number into Its Prime Factors Finding the Greatest Common Factor Generating the Multiples of a Number Finding the Least Common Multiple Practice Questions Answers and Explanations Whaddya Know? Chapter 9 Quiz Answers to Chapter 9 Quiz

8 Unit 4: Fractions Chapter 10: Understanding Fractions Slicing a Cake into Fractions Knowing the Fraction Facts of Life Increasing and Reducing Terms of Fractions Converting between Improper Fractions and Mixed Numbers Comparing Fractions with Cross-Multiplication Working with Ratios and Proportions Practice Questions Answers and Explanations Whaddya Know? Chapter 10 Quiz Answers to Chapter 10 Quiz Chapter 11: Fractions and the Big Four Operations Multiplying and Dividing Fractions Adding and Subtracting Fractions with the Same Denominator Adding and Subtracting Fractions with Different Denominators Practice Questions Answers and Explanations Whaddya Know? Chapter 11 Quiz Answers to Chapter 11 Quiz Chapter 12: Mixing Things Up with Mixed Numbers Multiplying and Dividing Mixed Numbers Adding Mixed Numbers Subtracting Mixed Numbers Practice Questions Answers and Explanations Whaddya Know? Chapter 12 Quiz Answers to Chapter 12 Quiz