Name:
Homework #:
1. Number Families: Fill in the diagram with each kind
of number and their relationship to each other. Give an
example of each kind of number.
2. True or False? Tell whether the statement is true of false. If it is false, give a
counterexample.
a. _____The sum of two non-integer rational numbers always results in a non-integer
rational number.
b. _____The division of two whole numbers always results in a non-integer rational
number.
c. _____The product of a non-integer rational number and a whole number always
results in a non-integer rational number.
d. _____The square of a non-integer rational number is always a non-integer rational
number.
3. Evaluating: Evaluate the expression when x=−1, x=0, and x=1. Then determine whether
the result is a whole number, an integer, or a rational number.
a.
x2 1
x 3
b.
1 x
x2
1
4. Rational or Not: For each number below, give the decimal or fraction equivalent for each.
Then, name the type of decimal represented and classify it as a rational or irrational number.
Number
3
8
0.25
π
81
0.3
2
0.27
0.125
1.44
2
8
5
7
11
Decimal or Fraction
Equivalent
Type of Decimal
Rational or
Irrational