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Lesson 5-2 Pages 205-209 Rational Numbers Lesson Check 5-1 What you will learn! 1. How to write rational numbers as fractions. 2. How to identify and classify rational numbers. Rational number What you really need to know! A number that can be written as a fraction is a rational number. Mixed numbers, integers, and many decimals can be written as fractions. What you really need to know! Other decimals such a = 3.14592654… are infinite and nonrepeating. They are called irrational numbers. What you really need to know! Rational Numbers 1.8 Integers -5 6 0.7 Whole Numbers Natural Numbers -12 15 2 1 30 2 3 2 4 5 -3.222… 5 0 -7 4.5 3/4 3/4 5 0 5 Natural Numbers Whole Numbers -7 0 5 Integers 4.5 -7 0 5 Rational Numbers Example 1: 3 Write - 4 as a fraction. 8 -(8 • 4 + 3) 35 8 Example 2: Write 10 as a fraction. 10 1 Example 3: Write each decimal as a fraction or mixed number in simplest form. 26 13 0.26 100 50 Example 4: Write each decimal as a fraction or mixed number in simplest form. 875 7 2.875 2 2 1000 8 Example 5: Write 0.39 as a fraction in simplest from. n = 0.39393939… 100n = 39.393939… Example 5: 100n = 39.393939… - n = 0.393939… 99n = 39 99 99 39 13 n n 99 33 Example 6: Identify all sets to which each number belongs. Natural, Whole, a. 15 integer, and rational 1 b. 8 Rational number Example 6: Identify all sets to which each number belongs. c. 0.3030303030… Rational number Page 207 Guided Practice #’s 3-11 Read: Pages 205-207 with someone at home and study examples! Homework: Pages 208-209 #’s 12-48 even #’s 52-75 Lesson Check 5-2 Page 733 Lesson 5-2 Lesson Check 5-2