6

TODAY’S LESSON

Dividing Decimals/mixed Decimals up to 2 Decimal Places

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OBJECTIVE:

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

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READING DRILL

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

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Drill on basic division facts.

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Who among you owns a lot?

How did your parents or family acquire it?

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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

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 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?

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Divide the following:

1. 2.5 175

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• 7.2 648

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• 1.75 749

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Divide. (Pair Activity)

a) 28 ÷ 0.5

b) 42 ÷ 0.35

c) 53 ÷ 1.06

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 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?

YOU CAN DO IT !

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How do we divide decimals and mixed decimals?

What have you learned?

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Analyze and Solve.

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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?

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Divide and check through multiplication.

1) 264 ÷ 0.06

2) 260 ÷ 0.32

3) 672 ÷ 0.8

0.53

5.76

4.374

7.802

97%

36%

TODAY’S LESSON

Dividing Decimals/mixed Decimals up to 2 Decimal Places

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OBJECTIVE:

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

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READING DRILL

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

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Dividing numbers mentally.

64 ÷ 8

36 ÷ 6

100 ÷ 4

15 ÷ 3

72 ÷ 9

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

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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

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• What is asked in the problem?
• What are given to solve the problem?
• What operation will you use to solve the problem?

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1) 105 ÷ 3.5

2) 460 ÷ 2.5

3) 324 ÷ 1.4

Find the quotient:

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Divide. (Pair Activity)

​

a) 8463 ÷ 2.17

b) 486 ÷ 2.84

c) 136 ÷ 1.2

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 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?

YOU CAN DO IT !

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How do we divide decimals and mixed decimals?

What have you learned?

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Analyze and Solve.

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How many pieces of cloth each 4.2 meters long can be cut from an 84-meter piece?

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Divide and check through multiplication.

1) 1219 ÷ 0.53

2) 546 ÷ 1.5

3) 780 ÷ 2.5

TODAY’S LESSON

Differentiating Terminating from Repeating/Non- Terminating Decimal Quotients

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OBJECTIVE:

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

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READING DRILL

 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.

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Solve for the quotient:

1. 146 ÷ 0.12

2. 29340 ÷ 0.18

3. 2460 ÷ 0.06

4. 565 ÷ 0.05

5. 993 ÷ 0.03

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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.

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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

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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

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Read the problem below.

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 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

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 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.

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 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.)

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  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.

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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.

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 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

YOU CAN DO IT !

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What is terminating and repeating/non-terminating decimal?

What have you learned?

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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

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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

TODAY’S LESSON

Differentiating Terminating from Repeating/Non- Terminating Decimal Quotients

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OBJECTIVE:

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

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READING DRILL

 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.

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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

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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.

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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.

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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

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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

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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

YOU CAN DO IT !

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What is terminating and repeating/non-terminating decimal?

What have you learned?

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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

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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?

WEEKLY TEST

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OBJECTIVE:

The learner answers test questions correctly.

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