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Classifying Numbers and the Number Line Worksheet
Name:_______________________________
Name
Period:______
Examples
Symbol
Whole Number
Integer
Rational Number
Irrational Number
Real Number
Definitions:

Rational Number: _____________________________________________________________________
_____________________________________________________________________

Irrational Number: ____________________________________________________________________
I. Classify each of the following using the appropriate symbolism (use any symbol except real numbers):
3
__________________
4
1.  6 __________________
2. 0 __________________
3.
4. 2.25 __________________
5. 1 __________________
6.  __________________
8.
9.
7. 
3
__________________
8
2 __________________
2
_________________
3
II. List the letters of the points whose coordinates are given. Use the number line provided.
10.  6 _______
11. 5 _______
12. 0 _______
14. 2 _______
15.  2 _______
16.  1
III. Write an inequality relating the coordinates of the points.
18.
19.
1
_______
2
13. 
7
_______
2
17. 2.5 _______
Classify the following numbers as either rational or irrational.
20. 7423
____________________
2
15
____________________
21.
22. 0.0174529816283…
____________________
23. 0.89567328415
____________________
Give an example of a number that would satisfy these rules:
24. A number that is rational and an integer but not whole
____________________
25. A number that is rational but not an integer
____________________
26. A number that is real but not rational.
____________________
27. A number that is rational, whole, and an integer.
____________________