1. DECIMALS

2. Reading & Writing Decimals

3. . TenthsOnes Decimal.1 Lets take a look at the places and the values of decimals. 1 Tens 10 Hundredths.01.001 Thousandths Decimal Place Values

4. Example 8,243. 67 Eight thousand, two hundred forty-three “and”sixty-sevenhundredths

5. Lets Practice:  247.017  16.3  4,764.52  63,920.143 two hundred forty-seven andseventeen thousandths. sixteen andthree tenths Four thousand, seven hundred sixty-four andfifty-two hundredths Sixty-three thousand, nine hundred twenty and one hundred forty-three thousandths

6. Writing Decimals in Standard Form

7. Example: Write the following number in standard form: two hundred six and five thousandths 206. The word “thousandths” indicates that we need three decimal places. __ __ __ 5 0 When we clean it up, the answer is 206.005

8. Lets Practice:  Six hundred fifty-three and twenty-three hundredths  Fourteen and five tenths  Three thousand, nine hundred thirty-five and sixty-one thousandths 653.23 14.5 3,935.061

9. Writing Decimals in Expanded Form

10. Example: Write 13.361 in expanded form. Remember, deal with the number before the decimal first. 10 + 3 Then, do the decimal part. 0.060.3+++0.001

11. Lets Practice:  249.617  16.3  4,764.52. 200 + 40 + 90.010.6+++0.007 10 + 60.3+ 4,000 + 700 + 60 + 70.020.5++

12. Lets Practice: 249.617 16.3 4,764.52 200 + 40 + 90.010.6+++0.007 10 + 60.3+ 4,000 + 700 + 60 + 70.020.5++

13. Special Seatwork (6 points) Write these in words. 1.) 35.037 2.) 10.238 3.) 8.009

14. Special Seatwork (6 points) Write these in standard decimal form. 1.) forty-five and two thousandths 2.) four and nine hundredths 3.) six and twenty-one hundredths

15. Special Seatwork (6 points) Write these in expanded form. 1.) 4.205 2.) 10.871 3.)25.084

16. Games on decimals

17. Workbook Exercise A Number 1 to 6 Page 63 to 65

18. Digit Value Example 12.0945 Digit value of 1 – 10 2 – 2 0 – 0 9 – 0.09 4 – 0.004 5 – 0.0005

19. Exercise From the number 2.4079, find the digit value of the following; a.) 2 - ________ b.) 4 - ________ c.) 0 - ________ d.) 7 - ________ e.) 9 - ________

20. Special Seatwork (3 points) From the number 32.508, find the digit value of the following; a.) 3 - ________ b.) 2 - ________ c.) 5 - ________ d.) 0 - ________ e.) 8 - ________

21. Workbook Exercise B Number 1 to 4 Page 66 to 67

22. Comparing Decimals Example 1 Which is bigger 10.408 or 10.508? Answer: Since 5 is bigger than 4 on the tenths place, therefore 10.508 is bigger than 10.408.

23. Example 2 Which is smaller 8.347 or 8.346? Answer: Since 6 is smaller than 7 on the thousandths place, therefore 8.346 is smaller than 8.347.

24. Exercise 1.) Which is larger 26.357 or 26.358? 2.) Which is the largest 3.74, 3.78 or 3.71?

25. Special Seatwork( 3 points) 1.) Which is smaller 0.047 or 0.329? 2.) Which is larger 139.0047 or 128.9059?

26. Special Seatwork( 3 points) 1.) Which is smallest 10.147, 10.329, 12.025 or 11.013? 2.) Which is largest 9.3044, 9.3324 8.5039 or 9.434?

27. Workbook Exercise C Number 1 to 6 Page 68 to 69

28. CONVERTING DECIMALS TO FRACTIONS Example 1 Convert 2.8 to fraction. Working: 2.8 = 2 + 0.8 = 2 + 8/10 = 2 + 4/5 = 2 4 / 5

29. Example 2 Convert 45.3 to fraction. Working: 45.3 = 45 + 0.3 = 45 + 3/10 = 45 3 / 10

30. Exercise Convert the following to fractions. 1.) 4.25 2.) 12.8 3.) 9.7

31. Special Seatwork ( 3 points) Convert the following to fractions. 1.) 6.14 2.) 24.6 3.) 3.3

32. CONVERTING FRACTIONS TO DECIMALS Example 1 Convert 3 2 / 5 to decimals. Working: 3 2 / 5 = 3 + 2 / 5 = 3 + 2 / 5 x 2 / 2 = 3 + 4/10 = 3 + 0.4 = 3.4

33. Example 2 Convert 2 8 / 25 to decimal. Working: 2 8 / 25 = 2 + 8 / 25 = 2 + 8 / 25 x 4 / 4 = 2 + 32/100 = 2 + 0.32 = 2.32

34. Exercise Convert the following to decimals. 1.) 6 / 10 2.) 2 4 / 10 3.) 1 4 / 5

35. Special Seatwork ( 3 points) Convert the following to decimals. 1.) 2 1 / 2 2.) 14 / 5 3.) 3 / 5

36. Workbook Exercise D Number 1 to 4 Page 70 to 71

37. OPERATIONS WITH DECIMALS

38. ADDITION OF DECIMALS Vertical Addition Examples 1.) 12.6 + 9.7 = Working 12.6 9.7 22.3

39. 2.) 42.653 + 3.9057 = Working 42.6530 3.9057 46.5587

40. 3.) 46.4054 + 9.63 = Working 46.4054 9.6300 56.0354

41. Workbook Exercise A Number 1 to 6 Page 75 to 77

42. SUBTRACTION OF DECIMALS Vertical Subtraction Examples 1.) 12.9 - 9.7 = Working 12.9 9.7 3.2

43. 2.) 42.658 - 3.9057 = Working 42.6580 3.9057 38.7523

44. Workbook Exercise B Number 1 to 6 Page 78 to 80

45. MULTIPLICATION OF DECIMALS Vertical Multiplication Examples 1.) 5 x 0.8 = Working 5 x 0.8 4.0 or 4

46. Examples 2.) 4 x 1.7 = Working 4 x 1.7 28 4_ 6.8

47. More Examples on the board

48. Workbook Exercise C Number 1 to 5 Page 81 to 83

49. Solving word problems with decimals Workbook exercise D letter A Page 84. A boy had 345.25 Baht. He bought a wallet for 256.50 Baht. How much money did he have left?

50. We UNDERSTAND Question: How much money did he have left? Given: A boy had 345.25 Baht and he bought a wallet for 256.50 Baht. We PLAN Key words: left Operation: Subtraction We SOLVE Number Sentence: 345.25 – 256.50 = ____ Working: 345.25 256.50 88.75

51. We CHECK By Addition 88.75 + 256.50 = 345.25 345.25 = 345.25 Therefore, 88.75 is a correct answer. Answer: He have left 88.75 Baht.

52. Workbook Exercise D Letter B to D Page 85 to 87 (By Group)

53. Creating Word Problems with Decimals Workbook Exercise E Letter A and B Page 88

54. Solving Mixed Operations with Decimals Examples Workbook Exercise E Letter A and B Page 88

55. Workbook Exercise F Number 1, 2 and 3 Page 89 to 90