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Module 2 lesson 14
- 1. Module 2 Lesson 14.notebook 1 November 23, 2015 Lesson 14: ConvertingRational Numbers to Decimals Using Long Division 11/23/15 Homework: Lesson 14 Problem Set #1 and 2 Exam 3 Wednesday 11/25/15 Integers Fluency Practice 1.) -9 + 5 2.) -9 + (-5) 3.) 9 + (-5) 4.) -60 + 23 5.) 4 - 10 6.) -4 - 10 7.) -4 - (-10) 8.) 4 - (-10)
- 2. Module 2 Lesson 14.notebook 2 November 23, 2015 Integers Fluency Practice 9.)-5(6) 10.) -5(-6) 11.) 5(-6) 12.) -9(-1) 13.) -81 9 14.) -81 -9 15.) 81 -9 16.)
- 3. Module 2 Lesson 14.notebook 3 November 23, 2015 Review 1.) 2.) 3.) I paidfor 5 months of my gym membership and my bank account changed $-240. What was the change each month?
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- 5. Module 2 Lesson 14.notebook 5 November 23, 2015 Example 1: CanAll Rational Numbers Be Written as Decimals? a. Using the division button on your calculator, explore various quotients of integers 1 through 11. Record your fraction representations and their corresponding decimal representations in the space below. b. What two types of decimals do you see? S.85
- 6. Module 2 Lesson 14.notebook 6 November 23, 2015 Example 2: DecimalRepresentations of Rational Numbers In the chart below, organize the fractions and their corresponding decimal representations listed in example 1 according to their type of decimal. What do these fractions have in common? What do these fractions have in common? Terminating Non-Terminating The denominators are only divisible by factors of 2's and 5's. The denominators are only divisible by another factor other than factors of 2's and 5's. S.85
- 7. Module 2 Lesson 14.notebook 7 November 23, 2015 Example 3: ConvertingRational Numbers to Decimals Using Long-Division Use the long division algorithm to find the decimal value of S.86
- 8. Module 2 Lesson 14.notebook 8 November 23, 2015 Exercise 1: Convert eachrational number to its decimal form using long division a. b. S.86
- 9. Module 2 Lesson 14.notebook 9 November 23, 2015 Example 4: ConvertingRational Numbers to Decimals Using Long-Division Use long division to find the decimal representation of S.87
- 10. Module 2 Lesson 14.notebook 10 November 23, 2015 What part ofyour calculation causes the decimal to repeat? Question:
- 11. Module 2 Lesson 14.notebook 11 November 23, 2015 Exercise 2 Calculate thedecimal value of the fraction below using long division. Express your answers using bars over the shortest sequence of repeating digits. a. b. c. d. S.87
- 12. Module 2 Lesson 14.notebook 12 November 23, 2015 Exercise 2 Calculate thedecimal value of the fraction below using long division. Express your answers using bars over the shortest sequence of repeating digits. a. b. c. d. S.87
- 13. Module 2 Lesson 14.notebook 13 November 23, 2015 Example 5: FractionsRepresent Terminating or Repeating Decimals How do we determine whether the decimal representation of a quotient of two integers, with the divisor not equal to zero, will terminate or repeat? If the remainder is zero: If the remainder is not zero: S.88
- 14. Module 2 Lesson 14.notebook 14 November 23, 2015 Example 6: UsingRational Number Conversions in Problem Solving a. Eric and four of his friends are taking a trip across the New York State Thruway. They decide to split the cost of tolls equally. If the total cost of tolls is $8, how much will each person have to pay? b. Just before leaving on the trip, two of Eric's friends have a family emergency and cannot go. What is each person's share of the $8 toll now? S.88
- 15. Module 2 Lesson 14.notebook 15 November 23, 2015 Closing: 1.) What shouldyou do if the remainders of a quotient of integers do not seem to repeat? 2.) What is the form for writing a repeating decimal? 89
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