The Nature of Mathematics, 12th Edition
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Section 6.7 Homework Hints

    Problems 1-4
    There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have "right" or "wrong" answers. You should spend about five minutes in answering each of these questions.
    Problems 5-10
    First, translate each of these statements into symbols, and then reduce the ratio following Example 1.
    Problems 11-14
    Can you name the means? Can you name the extremes? See Example 3.
    Problems 15-16
    Compare the product of the means and the product of the extremes; see Example 4.
    Problems 17-18
    See Example 5. Take note, when an irrational number is given, first approximate it as a rational number by using a calculator, and then follow the procedure shown in Example 5.
    Problems 19-42
    Find the product of the means or the product of the extremes, whichever does not contain the unknown term, and then divide this product by the number that is opposite the unknown term. See Example 7.
    Problem 43
    Set up and solve this probelm as shown in Example 8.
    Problem 44
    Set up and solve this problem as shown in Example 9.
    Problems 45-49
    Translate each of these statements into symbols following the lead shown in Examples 8-11.
    Problems 50
    Use this problem to help you check your answers to Problems 19-42. After you find a value for a variable, say
    W     = 5, look for 5 in a puzzle box, and then fill in the varaible in that location. There is one box labeled "5", as shown in the text. Do this for all the variables in Problems 19-42.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32

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