Classifying Rational Numbers
7(2)(A)
Activity Objective
Materials
I can use a diagram to classify numbers.

Where Do I Belong?
I can use a diagram to describe the relationship
between sets and subsets of rational numbers.
Answer Key
Rational
Numbers
Integers
8
9
1
4
7
8
X
2.5
X
1
X
X
0
X
X
X
8
9
X
4
X
X
X
8.99
X
0
Whole Numbers
4
8.99
2.5
Debriefing Questions

How did you use the diagram to help you
determine the sets or subsets of numbers to
which 4 belongs?

What is an example of a rational number that
is not an integer?

What is an example of an integer that is a
rational number?

Why can one number belong to more than one
set?
Listen For . . .


Connections among the sets of whole numbers,
integers, and rational numbers.
Connections between the diagram and the
chart.
© 2015 Region 4 Education Service Center
Whole
Numbers
7
8
4
Rational Numbers
Integers
Communicating about
Mathematics
Students may respond by talking to
a partner and recording a written
response in the space provided.
Possible sentence frame:
Integers and rational numbers
______ because ______.
Listen/Look For . . .
Connections among the
relationships of the sets and
subsets of rational numbers, the
diagram, and the chart.
Student Name: _____________________________
Date: ________________
Where Do I Belong?
Write each number in the set below in the appropriate section of the diagram.
8
 7

4 ,  2.5,  1, 0, , 4, 8.99
9
 8

Rational Numbers
Integers
Whole Numbers
Use the diagram to complete the chart below. Place an X in the box if the number belongs to the
set.
Rational Numbers
4
Integers
Whole Numbers
7
8
2.5
1
0
8
9
4
8.99
Communicating about Mathematics
Describe the relationship between integers and rational numbers.
________________________________________________________
________________________________________________________
________________________________________________________
________________________________________________________
________________________________________________________
________________________________________________________
© 2015 Region 4 Education Service Center