LESSON 2 1 Classifying Rational Numbers How can

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.