How can you classify rational numbers?

1
Classifying Rational Numbers

• 2.1

• How can you classify rational numbers?

2
Texas Essential Knowledge and Skills

• The student is expected to

• Number and operations6.2.A

• Classify whole numbers, integers, and rational
  numbers using a visual representation
• such as a Venn diagram to describe relationships
  between sets of numbers.

• Number and operations6.2.E

• Extend representations for division to include
  fraction notation such as a/b
• represents the same number as a b where b ? 0.

• Mathematical Processes

• 6.1.G

• Display, explain, and justify mathematical ideas
  and arguments using precise
• mathematical language in written or oral
  communication.

3
ADDITIONAL EXAMPLE 1
A
B
C
D
4
ADDITIONAL EXAMPLE 2
Use the Venn diagram to determine to which set or
sets each number belongs. Place the numbers in
the Venn diagram.

• 106

A
whole numbers, integers, rational numbers
B
5
integers, rational numbers
5
ADDITIONAL EXAMPLE 2
Use the Venn diagram to determine to which set or
sets each number belongs. Place the numbers in
the Venn diagram.
C
rational numbers
D
0.4
rational numbers
6
2.1 LESSON QUIZ

• 6.2.A, 6.2.E

1.
There are 2 pounds of peanuts to be divided
evenly into 10 bags.
a.
How does this situation represent division?
2 pounds must be evenly divided among 10 bags.
This represents the division 2 10.
b.
What fraction of a pound of peanuts will each bag
get?
7
27
2.
16
3.
0.15
4.
8
5.
9

• Use the Venn diagram to determine in which set or
  sets each number belongs. Place the numbers in
  the Venn diagram.

18
6.
Whole Numbers, Integers, Rational Numbers
17
7.
Integers, Rational Numbers
10

• Use the Venn diagram to determine in which set or
  sets each number belongs. Place the numbers in
  the Venn diagram.

2.3
8.
Rational Numbers
9.
Rational Numbers
11

• Use this activity to extend student understanding
  of sets, subsets, and Venn diagrams. Have
  students complete the Venn diagram by placing the
  numbers from 1 to 20 in the correct part of the
  diagram.

12

• How can you classify rational numbers?

• You classify numbers according to their
  characteristics. Rational numbers can be written
  as a quotient of two integers, so rational
  numbers can be fractions, decimals, integers, or
  whole numbers.