The Nature of Mathematics, 12th Edition
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Section 5.2 Homework Hints

Problems 1-6
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 7-10
Use Table 5.2 or prime factorizations to see if each is a prime.
Problems 11-14
See Example 1.
Problem 11 can be done using your knowlege of the times tables.
Problem 12 ; the slash means "is not divisible by".
Problems 13 and 14 can be done with the help of a calculator.
Problem 15
Build a sieve of Erathosthenes.
Problem 16
See Table 5.2.
Problems 17-20
See Example 5. Build a factor tree.
Problems 21-36
See Example 6. Use a factor tree, then arrange the factors from smallest base to largest, using exponents for repeated base factors.
Problems 37-44
See Example 7 (gcf) and Example 8 (lcm).
Problems 45-46
Find the gcf of the given numbers.
Problems 47-49
Build a sieve of Erathosthenes read the problems carefully to answer the questions.

    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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