1.
REAL NUMBERS
End of Unit 2 Review

2.
Try this!
a)
2
b) 12
c)
d)
e)
25
5
11
66
• a) Irrational
• b) Irrational
• c) Rational
• d) Rational
• e) Irrational

3.
Additional Example 1: Classifying Real
Numbers
Write all classifications that apply to each
number.
A.
5 is a whole number that is
not a perfect square.
irrational, real
5
B. –12.75 –12.75 is a terminating decimal.
rational, real
16
16
4
=
=2
C.
2
2
2
whole, integer, rational, real

4.
A fraction with a denominator of 0 is
undefined because you cannot divide
by zero. So it is not a number at all.

5.
Additional Example 2: Determining the
Classification of All Numbers
State if each number is rational,
irrational, or not a real number.
A.
21
irrational
B.
0
3
0
=0
3
rational

6.
Additional Example 2: Determining the
Classification of All Numbers
State if each number is rational,
irrational, or not a real number.
C.
4
0
not a real number

7.
Do Now
• List 3 different Rational Numbers. The numbers
must be greater than 1 and less than 2.
• List 3 different Irrational Numbers. The
numbers must be greater than 1 and less then 2.

8.
Comparing Rational and
Irrational Numbers
• When comparing different forms of
rational and irrational numbers,
convert the numbers to the same
form.
Compare -3 3 and -3.571
7
(convert -3 3 to -3.428571…
7
-3.428571… > -3.571

9.
Practice

10.
Ordering Rational and
Irrational Numbers
• To order rational and irrational
numbers, convert all of the numbers
to the same form.
• You can also find the approximate
locations of rational and irrational
numbers on a number line.

11.
Example
• Order these numbers from least to
greatest.
¹/₄, 75%, .04, 10%, ⁹/₇
¹/₄ becomes 0.25
75% becomes 0.75
0.04 stays 0.04
10% becomes 0.10
⁹/₇ becomes 1.2857142…
Answer:
0.04, 10%, ¹/₄, 75%, ⁹/₇

12.
Practice
Order these from least to greatest:

13.
Study
•
•
•
•
•
How to estimate square roots
Your list of Perfect Squares & Cubes
Comparing Numbers
What are number sets?
What are Real Numbers?