The Nature of Mathematics, 12th Edition
Home
about dr. smith
glossary
transparencies
other books

Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
group projects
individual projects
links by topic

Section 5.5 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.
    Problem 7
    Write this out in words, being careful about the order of operations.
    Problems 8-11
    See Example 1. What you should be thinking here is that you are using the definition of square root.
    Problems 12-17
    See the discussion between Examples 1 and 2 paying addition to the factored form of the number under the square root symbol. What you are looking for are factors which are perfect squares. It is a good idea to remember the first few perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and 169. See Example 2.
    Problems 18-19
    See Examples 6 and 7a.
    Problem 20
    See Example 7b. Remember the number outside the radical symbol (3 in part a) is multiplied by the number using the radical symbol.
    Problem 21
    See Example 7e.
    Problem 22
    See Example 7g.
    Problem 23
    See Example 7f.
    Problems 24-25
    See Examples 7c and 7d.
    Problems 26-28
    See Example 7j.
    Problems 29-31
    See Example 7ell and m.
    Problems 32-33
    See Example 7h and 7i.
    Problems 34-37
    See Example 7n.
    Problems 38-39
    See Example 3.
    Problems 40-41
    See Example 4.
    Problem 42
    See Example 5.
    Problems 43-47
    Use the Pythagorean theorem; see Examples 3-5.

    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

< Back to Section 5