Mathematics - Quarter 4 – Module 3 - DepEd Tambayan

CO_Q4_Mathematics 6_ Module 3

Mathematics

Quarter 4 – Module 3: Reading and Interpreting

Electric and Water Meter Readings

6

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Mathematics Quarter 4 – Module 3: Reading and Interpreting

Electric and Water Meter Readings

Introductory Message

This Self-Learning Module (SLM) is prepared so that you, our dear learners,

can continue your studies and learn while at home. Activities, questions,

directions, exercises, and discussions are carefully stated for you to understand

each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-

step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each

SLM. This will tell you if you need to proceed on completing this module or if you

need to ask your facilitator or your teacher’s assistance for better understanding of

the lesson. At the end of each module, you need to answer the post-test to self-

check your learning. Answer keys are provided for each activity and test. We trust

that you will be honest in using these.

In addition to the material in the main text, Notes to the Teacher are also

provided to our facilitators and parents for strategies and reminders on how they

can best help you on your home-based learning.

Please use this module with care. Do not put unnecessary marks on any

part of this SLM. Use a separate sheet of paper in answering the exercises and

tests. And read the instructions carefully before performing each task.

If you have any questions in using this SLM or any difficulty in answering

the tasks in this module, do not hesitate to consult your teacher or facilitator.

Thank you.

1


What I Need to Know

This module was designed and written with you in mind. It is here to help you

master the skills in reading and interpreting electric and water meter readings

and solving routine and non-routine problems involving electric and water

consumption. The scope of this module allows you to use it in many different

learning situations. The language used recognizes your diverse vocabulary

level. The lessons are arranged to follow the standard sequence of your course.

But the order in which you read them can be changed to match with the

textbook you are now using.

The module is divided into two lessons, namely:

Lesson 1 – Read and interpret electric and water meter readings.

Lesson 2 – Solve routine and non-routine problems involving electric and

water consumption.

After going through this module, you are expected to:

1. read and interpret electric and water meter readings (M6ME-IVd-100) and

2. solve routine and non-routine problems involving electric and water consumption.

(M6ME-IVd-101)

2


What I Know

A. Write the electric meter in kilowatt hour. Write your answer on

your answer sheet.

B. Complete the table. Write your answers on your answer sheet.

Present Reading (m3)

Previous Reading (m3)

Water Consumed (m3)

4. 8978 8112

5. 1876 1753

6. 7872 7781

7. 5674 5585

8. 4955 4934

1 0

9 9 0 0

1 1 9 9 0

1

2

3

8

7

8

7

2

3

2

3

8

7

8

7

2

3

1. 4 6 6 4 4 6 6 4

5 5 5 5

1 0

9 9 0 0

1 1 9 9 0

1

2

3

8

7

8

7

2

3

2

3

8

7

8

7

2

3

2. 4 6 6 4 4 6 6 4

5 5 5 5

3.

1 0

9 9 0 0

1 1 9 9 0

1

2

3

8

7

8

7

2

3

2

3

8

7

8

7

2

3

4 6 6 4 4 6 6 4

5 5 5 5

3


Lesson

1 Reading and Interpreting Electric and Water Meter

Readings

This module will focus on how introducing you to learning how to read and

interpret electric and water meters.

What’s In

Read and write the dials of the electric meter below. Write your answers

on your answer sheet.

1. Reading: kWh

2. Reading: kWh

3. Reading: m3

4


What’s New

Study the following meter readings:

1. Electric Meter

2. Water Meter

How do you read and interpret the electric and water reading above?

5


What is It

What is an electric meter?

An electric meter is a device that measures the energy transformed

from electrical sources to our devices at home. Most electrical meters at home

are located at a conspicuous place outside of a residence for quick access by

representatives of electrical companies to do their monthly readings.

Reading an electric meter

Reading your electric meter is easy. There are two types of electric

meters being used by electric companies. One is the Digital Type which

indicates kilowatt-hour (kWh) readings by digital numbers. The other is the

Dial Type which is the most commonly used electric meter. Consider the

following readings and how the final reading is determined.

Previous Reading

Present Reading (kWh): 00199 Previous Reading (kWh): 00125 Electric Consumption: 74 kWh

An electric meter shows readings of energy. The unit of energy reflected in an

electric meter is the kiloWatt-hour (kW-h), a unit of measure that reflects the product

of power and time giving the quantity, energy. In an electric meter, notice that there

are five dials and inside each dial is a pointer which indicates the number to be read.

The pointers will alternately turn clockwise and counter clockwise. These dials

measure the number of kilowatt-hour (kWh) as devices are used for a particular

period of time.

The illustration shows the following meter reading on each dial:

Present Reading

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Dial E: The pointer is directly on the number 7. Record as 7.

Dial D: The pointer has just passed 4, and is between 4 and 5. Record the lower

value, 4.

Dial C: The next dial look like it is right on 8 but, the dial to its right has not passed

zero. So, record this as 7, the lower value.

Dial B: The pointer is between 2 and 3. Record the lower value which the pointer

just passed, 2.

Dial A: The dial has passed 6, and is between 6 and 7. Again, record the lower value,

6.

Thus, the electric meter reading is 62 747 kWh (kilowatt-hour).

Note: Always read the dials from the right to the left, starting from Dial E to Dial A.

Each dial will turn in the opposite direction, so if your first dial turns clockwise, the

second dial will turn anticlockwise. Be sure to remember this when recording your

reading. In general, if the meter dial (arrow) is in between two numbers, record the

number with the lower value.

Taking a digital electric meter reading

On a digital meter you should

record all the digits shown on the display.

It is not important to include any zeros at

the beginning. In the example, the meter

reading is 9410.

What is a Water Meter?

A water meter is a device that measures the volume of water delivered to a

property. Some water meters measure water in gallons while others measure

volumes in cubic feet. Most residential water meters are located near the curb or

sidewalk at the front of the property in a concrete "box." The water meter box will

have a metal or plastic lid and may be marked, "Water Meter."

Reading a Water Meter

The older style of water meter is with small dials. It looks like a series of small

clocks that turns clockwise, see the illustration that follows. The unit used for this

measurement is cubic meters (m3). The rules of reading a water meter with dials are

similar to the way an electric meter is being read but with the rightmost having the

greatest place value.

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Meter Reading: 3518 m3

To read water meters:

1. Start reading from right to left (clockwise). Read the number by the pointer

of the dial. When the pointer is between two numbers, the lower number

is recorded.

2. If the pointer appears to be exactly on a number, check the next lower dial

to the right to find out the correct reading.

If the dial on the right has passed zero, then use the smaller number on the

dial you are reading.

3. Record the numbers from right to left as illustrated in the previous page.

Computing Water and Electric Consumption

To compute for water or electric consumption for a particular period of time,

simply subtract the previous reading from the present reading.

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What’s More

A. Draw the pointers on the dials as shown in each item. Do this in your

answer sheet.

1. 03932 kWh.

2. 0164 m3

B. Give the reading of the following meter readings. Write your answer in

your answer sheet.

3. kWh

4. m3

9


What I Have Learned

Reading Electric Meters

To read electric meters:

1. Always read all the dials from right to left, starting from Dial E to A.

2. Read the number by the pointer of the dial. When the pointer is between two

numbers, the lower number is recorded.

3. If the pointer appears to be exactly on a number, check the dial to the right to

find out the correct reading.

• If the dial on the right has passed zero, then use the number that the pointer

is pointing to on the dial you are reading.

• If the dial has not passed zero, then make use of the smaller number on the

dial you are reading.

Reading Water Meters:

To read water meters:

1. Start reading from right to left (clockwise). Read the number based on the

pointer of the dial. When the pointer is between two numbers, the lower

number is recorded.

2. When the pointer is directly on the number, look at the dial to the right. If

it has passed zero, use the next higher number. If the dial has not passed

zero, use the lower number.

3. Record the numbers from right to left.

Computing Electric and Water Consumption

Simply subtract the previous reading from the present reading to compute

for water or electric consumption for a particular period of time.

10


What I Can Do

A. Read and solve the following problems. Write your answers on

your answer sheet.

1. The Dela Cruz Family closely monitors their electric consumption. The

figures below show the readings on their dials for the previous and

present month.

What is the electric consumption of Dela Cruz family for this month?

2. Irene’s record of her family’s water consumptions read this way:

Present Month

Present Month

How many cubic meters of water do they consume for this month?

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kWh

Assessment

A. Give the reading for each meter. Write your answer in your answer sheet

1.

2.

3.

m3

B. Draw the dials to show the meter reading. Write your answer in your answer

sheet.

4. 2321 kWh

5. 1382 m3

kWh

12


Additional Activities

A. Write the water consumption given the present and previous water

meter readings. Write your answers on your answer sheet.

1. Present (7846) Previous (7698)

2. Present (6724) Previous (6596)

B. Below is a table of electric consumption. Complete the table. Write

your answers on your answer sheet.

Item

Number

Previous Reading (kWh)

Present Reading

(kWh)

Kilowatt-hour Used

3

2345

3549

4

2350

4500

5

3570

4590

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2.

Answer Key

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A. Study the table below then answer the following questions.

Write your answers on your answer sheet.

Household Electric Meter Readings

Previous Readings (kWh)

Present Readings (kWh)

A 3140 3388

B 6395 6710

C 4706 4953

D 5215 5580

E 6535 6795

1. Which household consumed the most electricity?

2. Which household consumed the least electricity?

3. Which two households consumed almost the same energy in kWh?

B. Read and solve the following problems. Write your answers on

your answer sheet.

4. Reyes family’s water consumption is 117 m3. If their previous water

meter reading was 0531, what is their present water meter reading?

5. Last month, the water meter reading of a household was 1552 m3.

The following month, it was 1596 m3. If the basic charge of water consumption per cubic meter is ₱2.55, how much will they need to pay?

What I Know

15


Lesson

2

Solve Routine and Non-

Routine Problems involving

Electric and Water

Consumption

In the previous lessons, you have learned how to read and interpret electric and water meter readings. This lesson focuses on how to solve routine and non- routine problems involving electric and water consumption.

A. Find the value of N by getting the difference of the given number in

kWh used. Write your answer on your answer sheet.

1. Present Reading 3530

Previous Reading

2

523

N=


Previous Reading

5

367

N=

B. Solve the cubic meter used in the following water meter readings.

Write your answer in your answer sheet.


Previous Reading 5932


Previous Reading 3647

C. Read and solve the problem below. Write your answer in your

answer sheet.

5. Last month, the water meter reading was 1352 m3. The following

month, it was 1396 m3. What is the water consumption for the

month?

What’s In

16


Read and understand the problem below.

Alice has a computer unit that has a power requirement of 200 Watts. If she

used her computer for 3 hours every day, how much electricity would she consume

in 30 days?

How will you solve this problem?

Use the Four-Step-Plan to solve the given problem. Follow the steps below.

Step 1: UNDERSTAND

a. What is asked?

The total of electricity consumed in 30 days.

b. What are the given facts?

- power requirement of 200 Watts

- uses her computer for 3 hours everyday

- consume in

30 days

Step 2: PLAN

a. What operations shall we use to solve the problem?

Multiplication

b. What is the equation to be

used? (200 x 3) x 30 = N

First, multiply 200 Watts to 3 hours to determine the consumption for

the day. Then multiply to 30 days.

Step 3: SOLVE

Show the computation.

200 watts x 3 hours = 600 Watt-hour

600 watts x 30 days = 1 800 Watt-hours in 30 days. Answer: The total watts consume in one month is 1 800 watts.

What’s New

What is It

17


Step 4: CHECK

Look back what is asked in the problem and check the answer to the

problem.

Let’s take another example:

Step 1: UNDERSTAND

a. What are asked?

- The water consumption of Alice during the given period

b. What are the given facts?

- The previous water meter reading is 1341 m3

- The present water meter reading is 1382 m3.

Step 2: PLAN

a. What operations shall we use to solve the problem.

-Subtract previous water meter reading from present water meter

reading so that you will get the difference that corresponds to the

water consumptions in cubic meters.

Step 3: SOLVE

a. Show the computation Present Reading: 1382

m3 Previous Reading: 1341

m3

0041 m3 water consumption in one month

Step 4: CHECK

Check your answer. This is one way on how to check if the answer is correct.

Go back to your computation, check if all the given values are properly used.

Last month, Alice had a water reading of 1341. This month she

another reading of 1382. How much water was consumed during the given

18


What’s More

Read and solve the following problems. Write your answer in your answer sheet.

1. Rowena’s family made a record of their 3-month electric consumption. The

initial reading was 1476 kWh. The following table shows the succeeding

monthly readings:

Month Reading

January 1532

February 1597

March 1646

a. In what month did they have the highest electric consumption?

b. What was the average monthly electric consumption of their family?

2. Below are water meter readings of four houses.

a. Which house has the lowest water consumption?

b. Which house has the highest water consumption?

07249 07053 05926 05534

06684 06493 04886 04496

House A

House B

House C

House D

19


What I Have Learned

In solving routine and non-routine problems involving electric and water

consumption, the Four-Step Plan can be used. The following is the four-step plan.

Step 1: Understand

a. Know what is asked in the problem. b. Know the given facts.

Step 2: Plan

a. Know the operations to be used to solve the problem.

b. Write the equation. Step 3: Solve

a. Solve the problem.

Step 4: Check

a. Look back. Check and label your answer.

Read and solve the following problems. Write your answers on your answer sheet.

1. The two consecutive readings on a water meter are 7149 and 7675 in

kiloWatt- hours (kWh). How much electricity is consumed for the

period?

2. Roger’s water meter reading is 462 m3. For this month, he uses 1481 m3.

What is Roger’s present water consumption rate?

3. Ailyn’s household had a water meter reading of 168 for the month of

March. Last February, their water meter reading was 135. What was

Ailyn’s household water consumption for the given period?

4. On March 1, the water meter reading of a given household was 1456

m3. On the last day of March, the reading was 1499 m3. How

much water was consumed for the given period?

5. Last month, Kim’s electric meter reading was 4945 kWh. The following

month, the reading was increased by 65 kWh. What was the reading of

the following month?

What I Can Do

20


Assessment

Read and solve the following problems. Write your answers on your answer sheet.

1. Mr. Tan computed his monthly electrical consumption. Based on his electric

bill, last month he noted the reading to be 00146. When he checked his digital

electric meter, the current reading was 00189. How many kilowatt-hours did

Mr. Tan consume so far?

2. Last month, the water meter reading was 1489 m3. The next month, the

reading was 1565 m3. How much cubic meter of water was consumed?

3. What is the water consumption of a certain laundry shop for one month if the

present water meter reading is 785 m3 and the previous water meter reading is

562 m3?

4. Jing’s records of her family’s electric consumption are as follows:

Initial Reading: 0123

January: 0244 February: 0448 March: 0659

a. What is their family’s total electric consumption for 3 months?

b. Find the average monthly electric consumption of Jing’s family for 3 months.

21


Additional Activities

Read and solve the following problems. Write your answers on your

answer sheet.

1. On January 15, the water meter reading of a given household was 1398 m3.

The next month, the reading was 1453 m3. How much water was

consumed?

2. The water meter reading of a given household on February was 5829 m3.

What was the water consumption if the following month’s reading was 5941

m3?

3. The present meter reading shown in Mrs. Ramos’ electrical meter is 6512

kWh. What was the last reading if the family used 42 kWh?

4. Mr. Jose’s family consumed 150 kWh for a month. If their previous

electrical meter reading was 31748 kWh, what was their present meter’s

reading?

5. Last month, my electric meter reading was 3411 kWh. The next month, the

reading was 3619 kWh. How much energy in kWh did I consume?

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Answer Key

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References

Most Essential Learning Competencies (MELC) in Mathematics 6

Perez, Marjoseph H. et. al., 21st Centry MATHletes 6 Textbook, Department

of Education, Ground Floor, Bonifacio Building., DepEd Complex, Meralco

Avenue, Pasig City, Philippines, 2014.

For inquiries or feedback, please write or call: Department of Education - Bureau of Learning Resources (DepEd-BLR)

Ground Floor, Bonifacio Bldg., DepEd Complex Meralco Avenue, Pasig City, Philippines 1600

Telefax: (632) 8634-1072; 8634-1054; 8631-4985

Email Address: [email protected] * [email protected]

Mathematics - Quarter 4 – Module 3 - DepEd Tambayan

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