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Name: __________________
Class: _________
Date: __________
Unit 3 Target 2.2 Practice: Classifying Real Numbers
Directions: Identify the categories to which each of the following numbers belongs by
marking an “X” in the appropriate boxes.
Number
1.
7/8
2.
-2
3.
-9/37
4.
0
5.
-6.06
6.
4.5666…
7.
∏
8.
√225
9.
.634
10.
14/7
Real
Number
Rational
Number
Integer
Whole
Number
Natural
Number
Irrational
Number
Is the statement true or false? Circle the correct answer.
11. All integers are rational numbers.
True
False
12. All negative numbers are integers.
True
False
13. 3.87655 is a rational number.
True
False
14. All fractions are integers.
True
False
15. Pi (∏) is a rational number.
True
False
Classify each number as rational or irrational. Justify your answer by giving a
reason for your answer. (Hint: Look at the definitions for each type of number)
16. a. 7329 _____________________
Reason: _____________________________________________________
b. √4 ______________________
Reason: _____________________________________________________
17. a. 0.95832758941… ________________________
Reason: _____________________________________________________
b. 0.5287593593593 _______________________
Reason: _____________________________________________________
Give an example of a number that would satisfy these rules.
18. A number that is: real, rational, whole, an integer, and natural _____________
19. A number that is: real and irrational _________________________________
20. A number that is: real, rational, an integer ____________________________
Name: KEY
Class: _________
Date: __________
Skills Practice #1: Classifying and Identifying Types of Numbers
Classify these numbers as rational or irrational and give your reason.
1. a. 7329 Rational
Reason: Because it is an integer, whole #, and a natural #
b. √4 Rational
Reason: Because the number simplified is 2 which is a natural, whole, and integer
2. a. 0.95832758941… irrational
Reason: Because the decimal does not repeat or terminate
b. 0.5287593593593 rational
Reason: Because the decimal repeats in a consistent pattern
Give an example of a number that would satisfy these rules.
3. A number that is: real, rational, whole, an integer, and natural
Any counting number…1,2,3, etc.
4. A number that is: real and irrational
Answers will vary but any number that has a non-repeating, non-terminating decimal
such as pi.
5. A number that is: real, rational, an integer
Any whole number or its opposite or zero. Examples include -1, 5, -215, 164, etc.
Classify each number as: real, rational, irrational, whole, natural, and integer. Give your
reason.
6. a. 3/4 Real and Rational
Reason: because this number is 0.75 which is a terminating decimal.
b. -12/4 Real, rational, and integer
Reason: because when the number is simplified it is -3 which is real, rational, and an
integer.