Real numbers

1. REAL NUMBERS
End of Unit 2 Review

2. Try this!
•a) Irrational
•b) Irrational
•c) Rational
•d) Rational
•e) Irrational66 e)
d)
25 c)
12 b)
2 a)
11
5

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

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

6. not a real number
Additional Example 2: Determining the
Classification of All Numbers
4
0
C.
State if each number is rational,
irrational, or 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 and -3.571
(convert -3 to -3.428571…
-3.428571… > -3.571
3
7
3
7

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
¹/₄becomes 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?