Math-6-Wk-9-L13-Division-of-Decimal-Numbers-PPT.pptx

math 6

1. MATHEMATICS 6 – Q1 Week 9 (Lesson 13) Division of Decimals Up To 2 Decimal Places by Whole Numbers And Division of Mixed Decimals Up To 2 Decimal Places

2. Dividing Decimals/Mixed Decimals Up To 2 Decimal Places by Whole Numbers

3. What’s In Find the quotient. Write your answers on your answer sheet.

4. 1) 8 ÷ 0.64 = N 2) 72 ÷ 0.96 = N 3) 24 ÷ 0.15 = N 4) 19 ÷ 0.38 = N 5) 48 ÷ 0.32 = N 12.5 75 160 50 150

5. What’s New Hazel and her 3 friends bought some food at the canteen. The total bill was ₱62.40. If they share the bill equally, how much will each one pay?

6. To solve the problem, divide ₱62.40 by 4. Follow the steps below. Step 1 Divide the numbers the way you divide whole numbers. a. Divide; 6 ÷ 4 - There is only one (1) group of 4 in 6, so we write 1 on the quotient b. Multiply: 1 x 4 = 4 c. Subtract: 6 – 4 = 2

7. Step 2 Bring down the next digit of the dividend 2 and annex it to the first remainder which is 2. This will form your new dividend which is 22. a. Divide; 22 ÷ 4 There are only five (5) groups of 4 in 22, so we write 5 on the quotient b. Multiply: 5 x 4 = 20 c. Subtract: 22 – 20 = 2

8. Step 3 Align the decimal point of the dividend to the quotient.

9. Step 4 Bring down the next digit of the dividend 4 and annex it to second remainder which is 2. This will form your next dividend which is 24. a. Divide; 24 ÷ 4 There are only six (6) groups of 4 in 24, so we write 6 on the quotient b. Multiply: 6 x 4 = 24 c. Subtract: 24 – 24 = 0 d. Since your remainder is already 0 and the last digit in the dividend is 0, you need not to bring it down anymore, instead bring it up or copy it to your quotient.

10. Therefore, each of them will pay ₱15.60 for some food at the canteen.

11. What’s More Find the quotient. Write your answer on your answer sheet.

12. 11.65 5.2 15.3 16.375 12.5

13. What I Can Do Read and solve. Show your solution and answer on a separate sheet of paper

14. Vangie, a store owner, has 8.12 kilograms of candies. If she puts the candies into 7 jars equally, how many kilograms will each jar contain? On his birthday, Jessie receives a cash gift of P189.75. He wants to split the amount into three leisure activities namely: zoo tickets, game tickets and movie downloads. If he wants to budget the same amount for each activity, how much amount will he allot in each activity? 1.16 kg ₱ 63.25

15. Assessment Divide the following. Write your answer on your answer sheet.

16. 1) 0.08 ÷ 2 = N 2) 0.14 ÷ 7 = N 3) 1.17 ÷ 9 = N 4) 0.24 ÷ 6 = N 5) 3.24 ÷ 4 = N

17. 6) 36.36 ÷ 6 = N 7) 22.40 ÷ 4 = N 8) 126.24 ÷ 12 = N 9) 20.41 ÷ 13 = N 10) 2.16 ÷ 9 = N

18. Answers

19. 1) 0.08 ÷ 2 = N 2) 0.14 ÷ 7 = N 3) 1.17 ÷ 9 = N 4) 0.24 ÷ 6 = N 5) 3.24 ÷ 4 = N 0.04 0.2 0.13 0.04 0.81

20. 6) 36.36 ÷ 6 = N 7) 22.40 ÷ 4 = N 8) 126.24 ÷ 12 = N 9) 20.41 ÷ 13 = N 10) 2.16 ÷ 9 = N 6.06 5.60 10.52 1.57 0.24

21. Additional Activities Divide the following. Write your answer on your answer sheet.

22. 1) 60.24 ÷ 12 = N 2) 122.40 ÷ 8 = N 3) 229.25 ÷ 35 = N 4) 326.20 ÷ 28 = N 5) 46.95 ÷ 3 = N

23. Dividing Decimals up to 2 Decimal Places

24. What’s In Find the quotient. Write your answers on your answer sheet.

25. 1) 104.56 ÷ 8 = N 2) 84.48 ÷ 12 = N 3) 0.72 ÷ 6 = N 4) 0.90 ÷ 15 = N 5) 117.91 ÷ 13 = N 13.07 7.04 0.12 0.06 9.07

26. What’s New Michael has 0.36 meter of string. He cuts it into pieces measuring 0.06 m. How many pieces of string will he get?

27. To find the number of pieces of string Michael will get, divide 0.36 by 0.06. Follow these steps: Step 1 Change the divisor into whole numbers by moving the decimal point two places to the right.

28. Step 2 Move the decimal point of the dividend also two places to the right.

29. Step 3 Divide as whole numbers.

30. Therefore, Michael can get 6 pieces of string which measures 0.06 m out from the original 0.36 meters.

31. What’s More This time find the quotient of the following mathematical expressions. Write the solutions on your answer sheet.

32. 1) 0.84 ÷ 0.21 = N 2) 0.75 ÷ 0.25 = N 3) 0.57 ÷ 0.03 = N 4) 0.76 ÷ 0.19 = N 5) 0.96 ÷ 0.48 = N 4 3 19 4 2

33. What I Can Do On your answer sheet, divide the following.

34. 1) 0.90 ÷ 0.18 = N 2) 0.66 ÷ 0.22 = N 3) 0.58 ÷ 0.29 = N 4) 0.87 ÷ 0.03 = N 5) 0.80 ÷ 0.40 = N 5 3 2 29 2

35. Assessment Divide the following. Show the solutions on your answer sheet.

36. 1) 0.77 ÷ 0.11 = N 2) 0.60 ÷ 0.15 = N 3) 0.80 ÷ 0.20 = N 4) 0.24 ÷ 0.08 = N 5) 0.36 ÷ 0.09 = N

37. 6) 0.86 ÷ 0.43 = N 7) 0.92 ÷ 0.46 = N 8) 0.54 ÷ 0.09 = N 9) 0.63 ÷ 0.07 = N 10) 0.95 ÷ 0.05 = N

38. Answers

39. 1) 0.77 ÷ 0.11 = N 2) 0.60 ÷ 0.15 = N 3) 0.80 ÷ 0.20 = N 4) 0.24 ÷ 0.08 = N 5) 0.36 ÷ 0.09 = N 7 4 4 3 4

40. 6) 0.86 ÷ 0.43 = N 7) 0.92 ÷ 0.46 = N 8) 0.54 ÷ 0.09 = N 9) 0.63 ÷ 0.07 = N 10) 0.95 ÷ 0.05 = N 2 2 6 9 19

41. Additional Activities Solve the following problems. Write your solution and answers on your answer sheet.

42. Ray has a piece of wood that is 0.98 meter in length. He needs to cut pieces that are 0.07 meter in length. How many pieces of 0.07 meter in length Ray can cut from the piece of wood that is 0.98 meter? In a mango bars factory, they make bars in different sizes. The small bars are sold in pieces and the big ones are packaged in chunks. Identical chunks weighing 0.15 kilogram each are made from a big mango bar weighing 0.90 kilogram. How many chunks can be made from each big mango bars?

43. Dividing Mixed Decimals up to 2 Decimal Places

44. What’s In Find the quotient. Show your solution on your answer sheet.

45. 1) 0.96 ÷ 0.12 = N 2) 0.38 ÷ 0.95 = N 3) 0.87 ÷ 0.29 = N 4) 0.68 ÷ 0.32 = N 5) 0.78 ÷ 0.15 = N 8 0.4 3 2.125 5.2

46. What’s New Christine bought 66.25 kilograms of mangoes. She packed these into packs containing 13.25 kilograms each. How many packs did she make?

47. To solve for the number of packs Christine made, divide 66.25 by 13.25. Follow the steps below: Step 1 Change the divisor into a whole number by moving the decimal point two places to the right.

48. Step 2 Move the decimal point of the dividend the same number of places as the divisor as shown below.

49. Step 3 Divide the dividend by the divisor the way you divide whole numbers. a. Divide; 6625 ÷ 1325 There are only five (5) groups of 1325 in 6625, so we write 5 on the quotient. b. Multiply: 5 x 1325 = 6625 c. Subtract: 6625 – 6625 = 0

50. Hence, Christine made 5 packs of mangoes containing 13.25 kilograms each.

51. What I Can Do Show your solution on your answer sheet.

52. There are 2.54 centimeters in one inch. How many inches are there in 45.72 centimeters? In a series, 2.35, 3.60, 4.85, 6.10,.., N, the 1st term is 2.35 and N is the 10th term. What is the quotient if the 10th term is divided by 1.6? 18 inches 8.5

53. Assessment Solve the following division equations on your answer sheet.

54. 1) 3.45 ÷ 1.15 = N 2) 17.84 ÷ 2.23 = N 3) 94.76 ÷ 4.12 = N 4) 19.89 ÷ 2.21 = N 5) 18.24 ÷ 1.14 = N

55. 6) 16.94 ÷ 2.42 = N 7) 25.84 ÷ 3.23 = N 8) 35.02 ÷ 2.06 = N 9) 24.44 ÷ 6.11 = N

56. 10) 12.56 is divided by a number with 1-digit decimal divisor. It gives a quotient greater than 3 but less than 3.5. What is the greatest possible value of the divisor?

57. Answers

58. 1) 3.45 ÷ 1.15 = N 2) 17.84 ÷ 2.23 = N 3) 94.76 ÷ 4.12 = N 4) 19.89 ÷ 2.21 = N 5) 18.24 ÷ 1.14 = N 3 8 23 9 16

59. 6) 16.94 ÷ 2.42 = N 7) 25.84 ÷ 3.23 = N 8) 35.02 ÷ 2.06 = N 9) 24.44 ÷ 6.11 = N 7 8 17 4

60. 10) 12.56 is divided by a number with 1-digit decimal divisor. It gives a quotient greater than 3 but less than 3.5. What is the greatest possible value of the divisor? 4.1

61. Additional Activities Divide the following. Write the solutions on your answer sheet.

62. 1) 47.36 ÷ 11.84 = N 2) 264.18 ÷ 88.06 = N 3) 66.15 ÷ 3.15 = N 4) 175.76 ÷ 3.38 = N 5) 63.48 ÷ 31.74 = N