This document contains practice problems for differentiating between terminating and repeating/non-terminating decimals. It begins with examples and definitions of terminating versus non-terminating decimals. Students are then asked to solve problems identifying the type of decimal quotient. The document focuses on having students practice this skill through examples like dividing fractions and solving word problems before assessing their understanding.

3. Dividing Decimals/mixed
Decimals up to 2 Decimal Places

4. divides decimals/mixed
decimals up to 2 decimal
places (M6NS-Ig-116.4)

5. Mr. Valencia jogged a total of 40
kilometers during his stay in the
city. He jogged 0.20 km daily.

6. KING BACK
L
Drill on basic division facts.

7. Who among
you owns a lot?
How did your
parents or
family acquire
it?

8. Mang Vic is a hardworking man who
owns six hectares of land in Amadeo,
Cavite. In his will, he divided his lot
equally among his sons. If each son will
get 1.2 hectares, how many sons does the
man have?
PROBLEM OPENER

9. How many hectares has
Mang Vic?
How many hectares will each
son get?
What is asked in the
problem?
What are given to solve the
problem?
What operation will you use to
solve the problem?

10. Divide the following:
A. 2.5 175
B. 7.2 648
C.1.75 749

11. Divide. (Pair Activity)
a) 28 ÷ 0.5
b) 42 ÷ 0.35
c) 53 ÷ 1.06

12. Solve the problem.
1) Mr. Navarro borrowed ₱5,115 from a
friend to be repaid at ₱170.50 a week.
How long will it take him to repay his
friend?

13. How do we divide decimals
and mixed decimals?
What have you learned?

14. Analyze and Solve.
Albert cut a bamboo 12 meters long. If he
were to cut it into pieces 1.2 meters long,
how many pieces of bamboo will there
be?
ASSESSMENT

15. Divide and check through
multiplication.
1) 264 ÷ 0.06
2) 260 ÷ 0.32
3) 672 ÷ 0.8
ASSIGNMENT

17. Dividing Decimals/mixed
Decimals up to 2 Decimal
Places

18. divides decimals/mixed
decimals up to 2 decimal
places (M6NS-Ig-116.4)

19. Rocky baked a batch of 81
cookies. He wants to split them up
evenly among 8 friends and
himself.

20. KING BACK
L
Dividing numbers mentally.
64 ÷ 8
36 ÷ 6
100 ÷ 4
15 ÷ 3
72 ÷ 9

21. Do you have
a lot/farm?
How many
hectares?

22. Mr. Santos owned 35 hectares of
farm. He wants to divide it equally
his children. If each child will get
2.5 hectares, how many children
does Mr. Santos have?
PROBLEM OPENER

23. What is asked in the
problem?
What are given to
solve the problem?
What operation will
you use to solve the
problem?

24. 1) 105 ÷ 3.5
2) 460 ÷ 2.5
3) 324 ÷ 1.4
Find the quotient:

25. Divide. (Pair Activity)
a) 8463 ÷ 2.17
b) 486 ÷ 2.84
c) 136 ÷ 1.2

26. Solve the problem.
A developer will develop a subdivision in
Trece Martires City with an area of 454 865
sq.meters to be subdivided into 72.5
sq.meters per lot. How many lots would
there be?

27. How do we divide decimals
and mixed decimals?
What have you learned?

28. Analyze and Solve.
How many pieces of cloth each
4.2 meters long can be cut from
an 84-meter piece?
ASSESSMENT

29. Divide and check through
multiplication.
1) 1219 ÷ 0.53
2) 546 ÷ 1.5
3) 780 ÷ 2.5
ASSIGNMENT

31. Differentiating Terminating
from Repeating/Non-
Terminating Decimal
Quotients

32. The learner differentiates
terminating from repeating,
nonterminating decimal
quotients. (M6NS-Ii-119)

33. Unlocking of difficulties:
A terminating decimal is a decimal, that has an end digit. It is a
decimal, which has a finite number of digits (or terms). Example:
0.15, 0.86, etc.
A non-terminating decimal is defined as a decimal number
that does not have an endpoint in its decimal digit and keeps
continuing forever. For example, 3.12345... is a non-terminating
decimal.

34. KING BACK
L
Solve for the quotient:
1. 146 ÷ 0.12
2. 29340 ÷ 0.18
3. 2460 ÷ 0.06
4. 565 ÷ 0.05
5. 993 ÷ 0.03

35. 1.) 3 ÷ 4 6.) 9 ÷ 15
2.) 5 ÷ 6 7.) 1 ÷ 11
3.) 8 ÷ 12 8.) 10 ÷ 50
4.) 7 ÷ 8 9.) 3 ÷ 16
5.) 5 ÷ 10 10.) 4 ÷ 5
Solve for the quotient. Write T if the quotient is a
terminating decimal and NT if repeating non-
terminating. Write your answers on your answer sheet.

36. A. Find the value of N. Find the decimal equivalent of the
following fractions. Write your answers on a piece of paper.
1.) 2/4 = N
2.) 4/9 = N

37. B. Find the value of N. Find the quotient. Write your
answers on a separate piece of paper.
3.) 79 ÷ 3 = N
4.) 96 ÷ 9 = N
5.) 185 ÷ 11 = N

38. Read the problem below.

39. A terminating decimal quotient
results when the division process
terminates or stops with a zero
remainder.
What is the average of the boys’
team in decimal form? The average
of boys’ team in decimal is 0.75

40. The quotient 0.75 is an example of a
terminating decimal.
What is the remainder? The remainder
is 0
What is the average of the girls’ team
in decimal form? The average of the
girls’ team in decimal is 0.333.

41. What is the remainder? (It has
always a remainder of 1 no matter
how many zeros you will add in the
dividend. The division process never
ends and the digit 3 in the quotient is
repeating.)

42. The quotient 0.333 is a repeating non-
terminating decimal.
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.

44. Find the quotient. Differentiate whether the quotient is terminating or
repeating non-terminating decimal by putting a check (/) under the
corresponding column. Write your answers in your answer sheet.

45. Solve and identify if the decimal quotient is a terminating
or a repeating/non-terminating decimal.
A). 1 ÷ 13
B.) 2 ÷ 13
C.) 3 ÷ 13
D.) 4 ÷ 13
E.) 5 ÷ 13

46. What is terminating and
repeating/non-terminating
decimal?
What have you learned?

47. Solve and identify if the decimal quotient is a terminating or
repeating/non-terminating decimal.
1. 7 ÷ 4
2. 15 ÷ 9
3. 11 ÷ 2
4. 3 ÷ 16
5. 6 ÷ 21
ASSESSMENT

48. Solve and identify if the decimal quotient is a terminating
or repeating/non-terminating decimal.
1. 3 ÷ 20
2. 6 ÷ 11
3. 20 ÷ 12
4. 2 ÷ 6
5. 81 ÷ 48
ASSIGNMENT

50. Differentiating Terminating
from Repeating/Non-
Terminating Decimal
Quotients

51. The learner differentiates
terminating from repeating,
nonterminating decimal
quotients. (M6NS-Ii-119)

52. Unlocking of difficulties:
A terminating decimal is a decimal, that has an end digit. It is a
decimal, which has a finite number of digits (or terms). Example:
0.15, 0.86, etc.
A non-terminating decimal is defined as a decimal number
that does not have an endpoint in its decimal digit and keeps
continuing forever. For example, 3.12345... is a non-terminating
decimal.

53. KING BACK
L
Solve for the quotient. Write T if the quotient is a terminating
decimal and NT if repeating non-terminating. Write your
answers on your answer sheet.
1.) 3 ÷ 20
2.) 5 ÷ 30
3.) 8 ÷ 12
4.) 10 ÷ 40
5.) 8 ÷ 9

54. 1. Jose answered 2 out of 9 questions correctly. How is it expressed in
decimals?
Solution:
Read and Learn:
- 0
If we continuously divide
the number, the quotient
never ends, it is called
repeating/non-
terminating decimal.

55. 2. The fraction that represents the number of boys to girls in the
class is 1/8. What is the decimal form of the ratio of boys to girls
in the class?
When the division
terminates or ends with
a zero remainder it is
called a terminating
decimal.

56. Find the quotient and indicate whether it is
terminating or repeating/ non-terminating decimal.
1. ½
2. 1/17
3. 1/3
4. ¼
5. 1/30

57. Find the quotient and indicate whether it is
terminating or repeating/ non-terminating decimal.
1. 1/9
2. 1/10
3. 1/5
4. 1/16
5. 1/20

58. Divide and tell whether it is terminating or non-
terminating/repeating decimal.
1. 5/6
2. 22/44
3. 2/12
4. 8/16
5. 9/27

59. What is terminating and
repeating/non-terminating
decimal?
What have you learned?

60. Divide and tell whether it is terminating or non-
terminating/repeating decimal.
1. 25/50
2. 7/9
3. 1/69
4. 2/125
5. 2/1
ASSESSMENT

61. Read and solve the following problems. Express the
answer in decimal form, then tell whether it is
repeating/non-terminating or terminating decimal.
Luisito bought 1/3 kg of pork and ¾ kg of chicken.
How many kilos of meat did he buy in all?
ASSIGNMENT

64. The learner answers test questions
correctly.