Warm-Up Write the integer to represent each situation Loss of 8 yards. 2. Going up 4 flights of stairs An elevation of 1,200 feet Order the following temperatures from coldest to warmest. The height of an iceberg is 38 meters above sea level. The bottom of the iceberg is 21 meters below sea level. Write the integer to represent the height and depth of the iceberg.

Classifying Rational Numbers 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.

Let’s Explore! Each piece of one square is equal to what fraction? Arrange your pieces to show how much clay each person gets. What fraction of a full square does each person have?

EXAMPLE 1 Write each rational number as . A B C D

Decimals t Fractions How do we convert fractions into decimals? Decimals into fractions? Fractions to Decimals Decimals t Fractions

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

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

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.

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.