Studying for a chapter
examination is a personal process, one
which nobody else can do for you. Simply
take the time to review what you have
done.
Addition law of exponents [1.3]
Axiom [1.2]
Base [1.3]
Billion [1.3]
Conclusion [1.2]
Conjecture [1.3]
Counting number [1.2[
Cube [1.2]
Decimal notation [1.3]
Deductive reasoning [1.2]
Distributive laws of exponents [1.3]
Estimate [1.3]
Exponent [1.3]
Exponential [1.2]
Exponential notation [1.2]
Exponentiation [1.2]
Extended order of operations [1.3]
Euler circle [1.2]
Fixed-point form [1.3]
Floating-point form [1.3]
Googol [1.3]
Inductive reasoning [1.2]
Invalid argument [1.2]
Laws of exponents [1.3]
Million [1.3]
Multiplication law of exponents [1.3]
Natural number [1.2]
Order of operations [1.2]
Pascal's triangle [1.1]
Power [1.3]
Problem-solving procedure [1.1]
Scientific notation [1.3]
Square [1.2]
Street problem [1.1]
Subtraction law of exponents [1.3]
Syllogism [1.2]
Theorem [1.2]
Trillion [1.3]
Undefined term [1.2]
Valid argument [1.2] If you can describe the term,
read on to the next one; if you cannot,
then look it up in the text (the section
number is shown in brackets).
Can you explain each of these important
ideas in your own words?
Guidelines for Problem Solving[1.1]
Order of Operations [1.2]
Extended Order of Operations [1.3]
Laws of Exponents [1.3]
Inductive vs Deductive Reasoning [1.3]
Euler Circles [1.3]
Next,
make sure you understand the types of
problems in Chapter 1.
Use Polya's method to solve a problem.
[1.1]
Use Pascal's triangle as an aid to problem
solving. [1.1]
Answer questions by using inductive reasoning.
[1.2]
Simplify an expression using the order
of operations. [1.2, 1.3]
Distinguish inductive from deductive
reasoning. [1.2]
Use Euler circles to determine the validity
of a syllogism [1.2]
Write out exponential numbers without
using exponents. [1.3]
Write a large or small number in scientific
notation. [1.3]
Use a calculator to answer numerical
questions. [1.3]
Estimate answers to numerical questions.
[1.3]
Simplify numerical problems by using
the laws of exponents. [1.3]
Describe the relative sizes of large
and small numbers. [1.3]
Once again, see if you can verbalize
(to yourself) how to do each of the listed
types of problems. Work all of Chapter
1 Review Questions (whether they
are assigned or not).
Work through
all of the problems before looking at
the answers, and then correct each of
the problems. The entire solution is
shown in the answer section at the back
of the text. If you worked the problem
correctly, move on to the next problem,
but if you did not work it correctly
(or you did not know what to do), look
back in the chapter to study the procedure,
or ask your instructor. Finally, go back
over the homework problems you have been
assigned. If you worked a problem correctly,
move on the next problem, but if you
missed it on your homework, then you
should look back in the book or talk
to your instructor about how to work
the problem. If you follow these steps,
you should be successful with your review
of this chapter. We give all of the answers to the Chapter
Review questions (not just the odd-numbered
questions), so be sure to check your
work with the answers as you prepare
for an examination.
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