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Chapter 5 Lesson 2 Rational Numbers Pgs. 205-209

Chapter 5 Lesson 2 Rational Numbers Pgs. 205-209. What you will learn (maybe): Write rational numbers as fractions Identify and Classify rational numbers. Vocabulary:.

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Chapter 5 Lesson 2 Rational Numbers Pgs. 205-209

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  1. Chapter 5 Lesson 2Rational NumbersPgs. 205-209 What you will learn (maybe): Write rational numbers as fractions Identify and Classify rational numbers

  2. Vocabulary: • Rational Number (205): A number that can be written as a fraction. Terminating decimals are rational numbers because they can be written as a fraction with a denominator of 10, 100, 1000 and so on….. Ex.) 0.75 = 3/4 28 = 28/1 1 1/4 = 5/4 _ -0.3 = - 1/3

  3. Write Mixed Numbers and Integers as Fractions Write 5 2/3 as a fraction. 217 Turn the Mixed # 3 3 into an improper fraction Write -3 as a fraction -3 = -33 1 1 5 = - or

  4. Write Terminating Decimals as Fractions Write each decimal as a fraction or mixed number in simplest form. 0.48 = 48 See the digit chart on pg. 206 100 Simplify: 12 25 375 1000 6.375 = 6 Simplify: 6 3 8

  5. Write Repeating Decimals as Fractions Write 0.8as a fraction in simplest form Let N represent the number: N= 0.888….. Multiply each side by 10 since one digit repeats:10N = 10(.888…) 10N = 8.888….. Subtract N from 10N to eleminate the repeating part. 0.888…. 10N = 8.888… - (N = 0.888…)9N = 8 N = 8 9N = 8 9 9 9 _

  6. Big Idea! Noteworthy!! All rational numbers can be written as terminating or repeating decimals. Decimals that do not terminate or repeat are called irrational numbers because they CANNOT be written as fractions Examples of irrational numbers: Pi = 3.141592654….. ----> digits DO NOT repeat 4.232232223…….---->same blocks of digits DON’T repeat

  7. Refer to the Concept Summary on Pg. 207 Identify all sets to which each number belongs: -6 2 4/5 0.914114111… Integer, Rational Rational Irrational

  8. You Try! Write each number as a fraction. -2 1/3 10 7 2/3 Write each number as a fraction or mixed number in simplest form. .8 6.35 -0.7 23 3 10 1 - 7/3 _ _ 7 9 4/5 6 7/20

  9. Homework Evens on the sheet by the door!

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