Chapter 5 Review – NON CALCULATOR
Be able to define the following:
1) The Real Number System (construct a Venn Diagram showing the relationships between the different sets of
numbers with examples of the types of numbers within each set)
2) Fundamental Theorem of Arithmetic
3) Inverse
4) Identity
5) Closure
6) Associative
7) Commutative
8) Distributive
Be able to classify numbers as Natural, Whole, Integer, Rational, Irrational, or Real
Number
Natural
Whole
Integer
Rational
5
Be able to perform the following computations
9) Find the GCD of two numbers (ex. 90 and 42)
10) Find the LCM of two numbers (ex. 280 and 5488)
11) Find the prime factorization of a number (ex. 2520)
Irrational
Real
12) Evaluate integer expressions (addition, subtraction, multiplication, division) and rational expressions
(add/subtract fractions with unlike denominators, multiply/divide fractions)
a.
b.
c.
d.
e.
13) Write an improper fraction as a mixed number
14) Write a mixed number as an improper fraction
15) Write a decimal as a fraction (terminating and repeating)
a.
b.
c.
d.
16) Simplify a radical (ex.
17) Add/subtract radicals
18) Multiply/distribute radicals
19) Rationalize a radical
)
)