Download How can you classify rational numbers?

LESSON
2.1
Classifying Rational Numbers
How can you classify rational numbers?
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.
ADDITIONAL EXAMPLE 1
Write each rational number as
A
B
C
D
.
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
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
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?
Write each rational number as
2. –27
3. 16
4. 0.15
.
Write each rational number as
5.
.
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
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
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.
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.