The Nature of Mathematics, 12th Edition
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Section 17.3 Homework Hints

    Problems 1-6
    Read the section first and then paraphrase each of the requested rounding or apportionment plans are requested by each of these problems.
    Problems 7-40
    These problems are dealing with the understanding of the following terms and procedures: standard divisor, standard quota, upper quota, lower quota, and modified quotas. Make sure you understand each of these before going on in this section. These words and processes can best be understood by looking at Examples 1, 2 and 3. A comparison of rounding using the arithmetic mean and the geometric mean is given in Example 9.
    Problem 41
    These problems are based on the Adam's plan, as shown in Example 4.
    Problem 42
    These problems are based on Jefferson's plan, as shown in Example 5.
    Problem 43
    These problems are based on Hamilton's plan, as shown in Examples 6 and 7.
    Problem 44
    These problems are based on the Webster's plan, as shown in Example 8.
    Problem 45
    These problems are based on Huntington-Hill's plan, as shown in Example 11.
    Problem 46
    These problems are based on the Adam's plan, as shown in Example 4.
    Problem 47
    These problems are based on Jefferson's plan, as shown in Example 5.
    Problem 48
    These problems are based on Hamilton's plan, as shown in Examples 6 and 7.
    Problem 49
    These problems are based on the Webster's plan, as shown in Example 8.
    Problem 51
    These problems are based on the Adam's plan, as shown in Example 4.
    Problem 52
    These problems are based on Jefferson's plan, as shown in Example 5.
    Problem 53
    These problems are based on Hamilton's plan, as shown in Examples 6 and 7.
    Problem 54
    These problems are based on the Webster's plan, as shown in Example 8.
    Problem 55
    These problems are based on Huntington-Hill's plan, as shown in Example 11.

    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 linksŐin 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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