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Module 2 lesson 9 repeating decimals
- 1. Module 2 Lesson 9 Repeating Decimals.notebook 1 September 21, 2016 Homework Lesson 9 Problem set MidModule Test Tuesday Sept. 21th DO NOW: Socrative Space Race
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- 3. Module 2 Lesson 9 Repeating Decimals.notebook 3 September 21, 2016 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? 47
- 4. Module 2 Lesson 9 Repeating Decimals.notebook 4 September 21, 2016 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. 47
- 5. Module 2 Lesson 9 Repeating Decimals.notebook 5 September 21, 2016 Example 3: ConvertingRational Numbers to Decimals Using Long-Division Use the long division algorithm to find the decimal value of 48
- 6. Module 2 Lesson 9 Repeating Decimals.notebook 6 September 21, 2016 Exercise 1: Convert eachrational number to its decimal form using long division a. b. 48
- 7. Module 2 Lesson 9 Repeating Decimals.notebook 7 September 21, 2016 Example 4: ConvertingRational Numbers to Decimals Using Long-Division Use long division to find the decimal representation of 48
- 8. Module 2 Lesson 9 Repeating Decimals.notebook 8 September 21, 2016 What part ofyour calculation causes the decimal to repeat? Question:
- 9. Module 2 Lesson 9 Repeating Decimals.notebook 9 September 21, 2016 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. 49
- 10. Module 2 Lesson 9 Repeating Decimals.notebook 10 September 21, 2016 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. 49
- 11. Module 2 Lesson 9 Repeating Decimals.notebook 11 September 21, 2016 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: 49
- 12. Module 2 Lesson 9 Repeating Decimals.notebook 12 September 21, 2016 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? 49
- 13. Module 2 Lesson 9 Repeating Decimals.notebook 13 September 21, 2016 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?
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