G6Q1 WEEK 8 MATH PPT.MATHEMATICS PPTpptx

G6Q1 WEEK 8 MATH PPT.pptx

1. QUARTER 1 WEEK 8 DAY 1

2. Directions : Find the value N. Try to give the quotient mentally. 1.) 0.58 ÷ 0.1 = N 2.) 0.0007 ÷ 0.01 = N 3.) 72.3582 ÷ 0.001 = N 4.) 68.481 ÷ 0.01 = N 5.) 0.9435 ÷ 0.001 = N REVIEW

3. Study these examples. A. 3.75 ÷ 10 = 0.375 B. 3.75 ÷ 100 = 0.0375 C. 3.75 ÷ 1 000 = 0.00375 What do you see in the pattern?

4. DIVIDING DECIMALS UP TO 2 DECIMAL PLACES BY 10, 100, AND 1 000 MENTALLY

5. In dividing a decimal number by 10, 100 or 1 000, consider the number of zeros in the divisor.

6. A. Dividing decimals by 10 3.75 ÷ 10 3.75 ÷ 10 = 0.375 Since there is only one zero in the divisor which is 10, move the decimal point of the dividend one place to the left. The new decimal number formed is the quotient. Hence, 3.75 ÷ 10 = 0.375.

7. B. Dividing decimals by 100 3.75 ÷ 100 3.75 ÷ 100 = 0.0375 Since there are two zeros in the divisor which is 100, move the decimal point of the dividend two places to the left.

8. B. Dividing decimals by 100 In this case, if you move two places to the left, there is no more digit before 3 so affix zero to the left on the empty place. The new decimal number formed is the quotient. Hence, 3.75 ÷ 100 = 0.0375.

9. C. Dividing decimals by 1 000 3.75 ÷ 1 000 3.75 ÷ 1 000 = 0.00375 Since there are three zeros in the divisor which is 1 000, move the decimal point of the dividend three places to the left.

10. C. Dividing decimals by 1 000 In this case, if you move three places to the left, there is no more digit before 3 so affix zeros to the left on the empty places. The new decimal number formed is the quotient. Hence, 3.75 ÷ 1000 = 0.00375.

11. Directions: Give the answer mentally. Example: 386.5 ÷ 100 = 3.865 1.) 20.38 ÷ 100 =__________ 2.) 57.01 ÷ 10 =__________ ACTIVITY 1

12. 3.) 391.74 ÷ 1 000 =__________ 4.) 8.06 ÷ 1 000 =__________ 5.) 0.04 ÷ 100 =__________ ACTIVITY 1

13. Directions : Find the quotient mentally. 1.) 14.98 ÷ 10 = __________ 2.) 2 308.9 ÷ 1 000 = __________ ASSESSMENT

14. 3.) 7.56 ÷ 100 = __________ 4.) 0.13 ÷ 100 = __________ 5.) 865.4 ÷ 1 000 = __________ ASSESSMENT

15. QUARTER 1 WEEK 8 DAY 2

16. Directions: Give the answer mentally. 1.) 22.27 ÷ 10 = N 2.) 9.4 ÷ 100 = N 3.) 286.9 ÷ 100 = N 4.) 75.3 ÷ 10 = N 5.) 0.02 ÷ 100 = N REVIEW

17. Study these examples. A. 3.75 ÷ 10 = 0.375 B. 3.75 ÷ 100 = 0.0375 C. 3.75 ÷ 1 000 = 0.00375 What do you see in the pattern?

18. DIVIDING DECIMALS UP TO 2 DECIMAL PLACES BY 10, 100, AND 1 000 MENTALLY

19. In dividing a decimal number by 10, 100 or 1 000, consider the number of zeros in the divisor.

20. A. Dividing decimals by 10 3.75 ÷ 10 3.75 ÷ 10 = 0.375 Since there is only one zero in the divisor which is 10, move the decimal point of the dividend one place to the left. The new decimal number formed is the quotient. Hence, 3.75 ÷ 10 = 0.375.

21. B. Dividing decimals by 100 3.75 ÷ 100 3.75 ÷ 100 = 0.0375 Since there are two zeros in the divisor which is 100, move the decimal point of the dividend two places to the left.

22. B. Dividing decimals by 100 In this case, if you move two places to the left, there is no more digit before 3 so affix zero to the left on the empty place. The new decimal number formed is the quotient. Hence, 3.75 ÷ 100 = 0.0375.

23. C. Dividing decimals by 1 000 3.75 ÷ 1 000 3.75 ÷ 1 000 = 0.00375 Since there are three zeros in the divisor which is 1 000, move the decimal point of the dividend three places to the left.

24. C. Dividing decimals by 1 000 In this case, if you move three places to the left, there is no more digit before 3 so affix zeros to the left on the empty places. The new decimal number formed is the quotient. Hence, 3.75 ÷ 1000 = 0.00375.

25. Directions: Give the answer mentally. 1.) 46.7 ÷ 100 = N 2.) 569.38 ÷ 1 000 = N 3.) 0.81 ÷ 10 = N 4.) 30.4 ÷ 1 000 = N 5.) 64.7 ÷ 1000 = N ACTIVITY 2

26. Directions: Find the quotient mentally. 1.) 54.79 ÷ 10 = N 2.) 8.06 ÷ 100 = N 3.) 300.2 ÷ 1 000 = N 4.) 0.04 ÷ 10 = N 5.) 48.93 ÷ 1 000 = N ASSESSMENT

27. QUARTER 1 WEEK 8 DAY 3

28. Directions: Read each problem and answer mentally. 1.) A circular park has a circumference of 98.5 meters. If 10 flower boxes are to be placed around it, how far apart are the flower boxes if they are at equal distance from each other? REVIEW

29. 2.) A can of paint contains 563.75 milliliters (mL). This is equivalent to how many liters? REVIEW

30. Find the value of N. Find the quotient. 1.) 79 ÷ 3 = N 2.) 96 ÷ 9 = N 3.) 185 ÷ 11 = N What did you observe in your answer?

31. DIFFERENTIATING TERMINATING FROM REPEATING NON-TERMINATING DECIMAL QUOTIENTS

32.  A terminating decimal quotient results when the division process terminates or stops with a zero remainder.  The quotient 0.75 is an example of a terminating decimal.  The remainder is 0 TERMINATING DECIMAL QUOTIENT

33. A repeating non-terminating decimal quotient results when the division process never ends. It has always a remainder. A remainder is a digit or group of digits in the decimal part that keeps repeating itself without end. A bar is placed on top of the repeating digit. REPEATING NON-TERMINATING DECIMAL QUOTIENT

34.  The quotient 0.333 is a repeating non-terminating decimal. REPEATING NON-TERMINATING DECIMAL QUOTIENT

35. Given Quotient Terminating or repeating non- terminating decimal 1.) 0.2 terminating decimal 2.) 8 ÷ 12 0.66 repeating non-terminating decimal 3.) 10 out of 100 0.1 terminating decimal 4.) 40 5 0.125 terminating decimal Given Quotient Terminating or repeating non- terminating decimal 0.2 terminating decimal 2.) 8 ÷ 12 0.66 repeating non-terminating decimal 3.) 10 out of 100 0.1 terminating decimal 4.) 40 5 0.125 terminating decimal

36. Directions: Draw a star if the statement is correct and triangle if not. 1.) The quotient of 20 divided by 30 is a repeating non-terminating decimal. 2.) When you divide 7 by 30, the quotient is a terminating decimal. ACTIVITY 3

37. 3.) The decimal value of is a repeating non-terminating decimal. 4.) Nine divided by ten is equal to 0.9, which is a terminating decimal. 5.) The equivalent value of in decimal form is 0. 72, which is a terminating decimal.   ACTIVITY 3

38. Directions: Find the quotient. Differentiate whether the quotient is terminating or repeating nonterminating decimal by putting a check (/) under the corresponding column. ASSESSMENT

39. ASSESSMENT Equation Quotient Terminating Repeating Non-   terminating Ex. 5 ÷ 15 =   0.33   / 1.) 3 ÷ 15 =       2.) 4 ÷ 45 =       3.) 9 ÷ 12 =       4.) 8 ÷ 12 =       5.) 2 ÷ 4 =      

40. QUARTER 1 WEEK 8 DAY 4

41. Directions: Solve for the quotient. Write T if the quotient is a terminating decimal and NT if repeating non-terminating. 1.) 3 ÷ 20 2.) 5 ÷ 30 3.) 8 ÷ 12 4.) 10 ÷ 40 5.) 8 ÷ 9 REVIEW

42. Directions : Solve for the quotient. Write T if the quotient is a terminating decimal and NT if repeating non-terminating. 1.) 3 ÷ 4 4.) 7 ÷ 8 2.) 5 ÷ 6 5.) 5 ÷ 10 3.) 8 ÷ 12

43. DIFFERENTIATING TERMINATING FROM REPEATING NON-TERMINATING DECIMAL QUOTIENTS

44.  A terminating decimal quotient results when the division process terminates or stops with a zero remainder.  The quotient 0.75 is an example of a terminating decimal.  The remainder is 0 TERMINATING DECIMAL QUOTIENT

45. A repeating non-terminating decimal quotient results when the division process never ends. It has always a remainder. A remainder is a digit or group of digits in the decimal part that keeps repeating itself without end. A bar is placed on top of the repeating digit. REPEATING NON-TERMINATING DECIMAL QUOTIENT

46.  The quotient 0.333 is a repeating non-terminating decimal. REPEATING NON-TERMINATING DECIMAL QUOTIENT

47. Given Quotient Terminating or repeating non- terminating decimal 1.) 0.2 terminating decimal 2.) 8 ÷ 12 0.66 repeating non-terminating decimal 3.) 10 out of 100 0.1 terminating decimal 4.) 40 5 0.125 terminating decimal Given Quotient Terminating or repeating non- terminating decimal 0.2 terminating decimal 2.) 8 ÷ 12 0.66 repeating non-terminating decimal 3.) 10 out of 100 0.1 terminating decimal 4.) 40 5 0.125 terminating decimal

48. Directions: Solve for the quotient. Write terminating decimal and or repeating non-terminating decimal. 1.) 1 ÷ 5 2.) 2 ÷ 8 3.) 7 ÷ 12 4.) 3 ÷ 8 5.) 1 ÷ 20 ACTIVITY 4

49. Directions: Give the equivalent value in decimal form. Tell whether the quotient is terminating or repeating non-terminating decimal. ASSESSMENT

50. Examples : = 0.8 – terminating decimal – repeating non-terminating decimal   ASSESSMENT

51. 1. 2. 3.   ASSESSMENT 4. 5.