1. Mid Chapter Check

20. Friday, Nov 8 Lesson 5.4 Terminating and Repeating Decimals

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

22. Terminating and Repeating Decimals At the end of this lesson you should be able to answer the following question. How are repeating decimals used in real world situations?

23. 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.

24. Terminating and Repeating Decimals

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

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

27. Terminating and Repeating Decimals Bar notation is a bar placed over the digit(s) that repeat. example 0.54545454 = 0.54

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

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

30. 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

31. Terminating and Repeating Decimals 1 Write 6 as a decimal.

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

33. Terminating and Repeating Decimals 2 Write - 9 as a decimal.

34. 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.

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

36. Terminating and Repeating Decimals 2 Write - 2 3 as a decimal.

37. 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.

38. Terminating and Repeating Decimals 2 Write - 2 3 as a decimal. - 2.6

39. 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.

40. 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

41. 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%

42. Terminating and Repeating Decimals How are repeating decimals used in real world situations?

43. Terminating and Repeating Decimals Agenda Notes Homework – No Homework Chapter 5 Test –Friday, Nov 15