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      Does math really need to be so hard? Nope.

      I say this speaking as a guy who has struggled with math as much as, if not more than, you have. Believe me. And a big part of the struggle often has more to do with the lack of clarity in how math is explained than with the actual math.

      This is too bad, because the whole idea behind math is supposed to be clarity. In a world where so many things are unclear, 2 + 2 will always equal 4.

      My second-greatest joy in teaching math is when a light breaks across a student’s face as they suddenly understand something new. My greatest joy, though, is what often follows: a skepticism that it couldn’t possibly be this easy.

      When you approach math right, it’s almost always easier than you think. And a lot of the stuff that hung you up when you first saw it probably isn’t all that scary after all. Many students feel they got lost somewhere along the way on the road between learning to count to ten and their first day in an algebra class — and this may be true whether they’re 14 or 104. If this is you, don’t worry. You’re not alone, and help is right here!

      This book brings together the four components you need to make sense of math:

       Clear explanations of each topic

       Example questions with step-by-step answers

       Plenty of practice problems (with more available online!)

       Chapter quizzes to test your knowledge at the end of most chapters

      Although you can certainly work through this book from beginning to end, you don’t have to. Feel free to jump directly to whatever chapter has the type of problems you want to practice. When you’ve worked through enough problems in a section to your satisfaction, feel free to jump to a different section. If you find the problems in a section too difficult, flip back to an earlier section or chapter to practice the skills you need — just follow the cross-references.

      If you’re planning to read this book, you likely fall into one of these categories:

       A student who wants a solid understanding of the basics of math for a class or test you’re taking

       An adult who wants to improve skills in arithmetic, fractions, decimals, percentages, weights and measures, geometry, algebra, and so on for when you have to use math in the real world

       Someone who wants a refresher so you can help another person understand math

      My only assumption about your skill level is that you can add, subtract, multiply, and divide. So, to find out whether you’re ready for this book, take this simple test:

4 + 7 = ____ 13 – 5 = ____ 9 × 3 = ____ 35 ÷ 7 = ____

      If you can answer these four questions correctly (the answers are 11, 8, 27, and 5), you’re ready to begin.

      You’ll see the following five icons throughout the book:

      Example Each example is a math question based on the discussion and explanation, followed by a solution. Work through these examples, and then refer to them to help you solve the practice problems that follow them, as well as the quiz questions at the end of the chapter.

      Remember This icon points out important information that you need to focus on. Make sure you understand this information fully before moving on. You can skim through these icons when reading a chapter to make sure you remember the highlights.

      Tip This icon points out hints that can help speed you along when answering a question. You should find them useful when working on practice problems.

      Warning This icon flags common mistakes that students make if they’re not careful. Take note and proceed with caution!

      Yourturn When you see this icon, it’s time to put on your

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