1. Mid Chapter Check

20. Log onto my website and click on the Quia link to begin the Chapter 6.5 quiz. Username is first name last name 371 (no spaces, no capitals). Username is the proper name as used in Progress Book. Password is the student ID. You will have a maximum of 25 minutes. When complete, work on Accum Rev 5 or Compass Learning.

21. Mid C

25. Wednesday, Oct 22 Lesson 6.5.4 Terminating and Repeating Decimals

26. Objective: To express positive and negative fractions as decimals.

27. Terminating and Repeating Decimals A Rational Number is any number that can be written as a fraction. That means it can be written as a fraction, in which both the numerator and the denominator are whole numbers.

28. Terminating and Repeating Decimals

29. Non-rational numbers are called irrational numbers. Do you know an irrational number? A number that cannot be expressed as a fraction?

30. Terminating and Repeating Decimals Non-rational numbers are called irrational numbers. Do you know an irrational number? Do you know an irrational number? π

31. Terminating and Repeating Decimals Every rational number can be written as either a terminating decimal or repeating decimal. Terminate means to end.

32. Terminating and Repeating Decimals Every rational number can be written as either a terminating decimal or repeating decimal. Bar notation is a bar placed over the digit(s) that repeat. e.g. 0.54545454… = 0.54

33. Terminating and Repeating Decimals 5 Write 12 as a decimal. How do you set this up as a math problem?

34. Terminating and Repeating Decimals 5 Write 12 as a decimal. 12 ) 5 or 5 ÷ 12 What is it as a decimal?

35. Terminating and Repeating Decimals 5 Write 12 as a decimal. 0.416 0.4166 12 ) 5.0000 -48 20 -12 80 -72 80 -72 8 The remainder will never be zero. On tonight’s homework, you must show all work to get credit.

36. Terminating and Repeating Decimals 1 Write 6 as a decimal. Do this on your own.

37. Terminating and Repeating Decimals 1 Write 6 as a decimal. 0.16 0.166 6)1.000 -6 40 -36 40

38. Terminating and Repeating Decimals 2 Write - 9 as a decimal. Do this on your own.

39. Terminating and Repeating Decimals 2 Write - 9 as a decimal. We can remove the negative sign to divide and re-attach it at the end.

40. Terminating and Repeating Decimals 2 Write - 9 as a decimal. - 0.2 0.22 9)2.00 -18 20 -18 2

41. Terminating and Repeating Decimals 2 Write - 2 3 as a decimal. Do this on your own.

42. Terminating and Repeating Decimals 2 Write - 2 3 as a decimal. We can remove the negative sign and whole number to divide and re-attach them at the end.

43. Terminating and Repeating Decimals 2 Write - 2 3 as a decimal. - 2.6 0.66 3)2.00 -18 20 -18 2

44. Terminating and Repeating Decimals Write - 0.8 as a fraction. Do this on your own.

45. Terminating and Repeating Decimals Write - 0.8 as a fraction. 8 4 - 0.8= - 10 = - 5

46. Terminating and Repeating Decimals Write - 0.55 as a fraction. Do this on your own.

47. Terminating and Repeating Decimals Write - 0.55 as a fraction. 55 11 - 0.55= - 100 = - 20

48. Terminating and Repeating Decimals Write -2.4 as a fraction. Do this on your own.

49. Terminating and Repeating Decimals Write -2.4 as a fraction. 4 2 -2.4 = -2 10 = -2 5

50. Terminating and Repeating Decimals Frank made 34 out of 44 free throws this season. What is his free throw percentage? Do this on your own.

51. Terminating and Repeating Decimals Frank made 34 out of 44 free throws this season. What is his free throw percentage? 00.7727 Here is the decimal, what is the percentage? 44 )34.00000 -308 320 -308 120 -88 320 -308 120

52. Terminating and Repeating Decimals Frank made 34 out of 44 free throws this season. What is his free throw percentage? 00.7727 Here is the decimal, what is the percentage? 44 )34.00000 -308 320 -308 120 -88 320 -308 120 77.27%

53. Terminating and Repeating Decimals Write a fraction and an equivalent terminating decimal between 0.2 and 0.6.

54. Terminating and Repeating Decimals Write a fraction and an equivalent terminating decimal between 0.2 and 0.6. Sample answer: 3 10 = 0.3

55. Terminating and Repeating Decimals Identify the decimal equivalent that does not have the same characteristics as the other 3.

56. Terminating and Repeating Decimals Identify the decimal equivalent that does not have the same characteristics as the other 3. 3 12 is a terminating decimal

57. Terminating and Repeating Decimals Agenda Notes Homework – Homework Practice 6.5.4 Due Thursday, Oct 23 Circle all answers and show all work. Chapter 6.5 Test -Wednesday, Oct 29 Accum Rev 5 due by Oct 29