1. Classifying Rational Numbers
2.1
Classifying Rational Numbers
How can you classify rational numbers?

2. Texas Essential Knowledge and Skills
The student is expected to:
Number and operations—6.2.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 operations—6.2.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
Write each rational number as . 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. A
106
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. Write each rational number as .2.
–27 3. 16 4.
0.15

8. Write each rational number as .5.

9. Use the Venn diagram to determine in which set or sets each number belongs. Place the numbers in the Venn diagram. 6. 18
Whole Numbers, Integers, Rational Numbers 7.
–17
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. 8.
–2.3
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.