6
Mathematics
Quarter 4 – Module 3:
Reading and Interpreting
Electric and Water Meter Readings
CO_Q4_Mathematics 6_ Module 3
Mathematics – Grade 6
Alternative Delivery Mode
Quarter 4 – Module 3: Reading and interpreting electric and water meter readings
First Edition, 2020
Republic Act 8293, section 176 states that: No copyright shall subsist in any work
of the Government of the Philippines. However, prior approval of the government agency or
office wherein the work is created shall be necessary for exploitation of such work for profit.
Such agency or office may, among other things, impose as a condition the payment of
royalties.
Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names,
trademarks, etc.) included in this module are owned by their respective copyright holders.
Every effort has been exerted to locate and seek permission to use these materials from
their respective copyright owners. The publisher and authors do not represent nor claim
ownership over them.
Published by the Department of Education
Secretary: Leonor Magtolis Briones
Undersecretary: Diosdado M. San Antonio
Development Team of the Module
Writers: Rogelio J. Lausa, Ailyn B. Flores
Editors: Mae Joy M. Tan, Susana L. Lutero, Nora B. Rebadomia, Ritchel P. Maratas,
Mary Jane O. Amante, Susan T. Dela Torre, Jem Rymon S. Chien
Reviewers: : Ivy Joy A. Torres, Ma. Theresa L. Tabotabo, Jem Rymon S. Chien,
Illustrator: Eldiardo E. Dela Peňa
Layout Artists: Eldiardo E. Dela Peňa, Pepe M. Tabanao, Jr.
Management Team: Ramir B. Uytico, Pedro T. Escobarte, Jr., Elena P. Gonzaga,
Donald T. Genine, Adonis A. Mosquera, Clarissa G. Zamora
Fevi S. Fanco, Ivy Joy A. Torres, Jason R. Alpay, Mae Joy M. Tan,
Jem Rymon S. Chien, Ethel S. Gali
Printed in the Philippines by ________________________
Department of Education – Region VI
Office Address:
Telefax:
E-mail Address:
Duran Street, Iloilo City
(033)336-2816, (033)509-7653
region6@deped.gov.ph
6
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-bystep 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 selfcheck 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.
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)
1
CO_Q4_Mathematics 6_ Module 3
What I Know
A. Write the electric meter in kilowatt hour. Write your answer on
your answer sheet.
0
1
2
8
3
7
4
1.
1
2.
0
9
9
1
2
2
8
8
2
7
3
3
7
7
3
6
9
9
4
5
0
4
5
0
1
1
6
6
9
9
4
5
0
1
2
8
8
2
2
8
8
2
3
7
7
3
3
7
7
3
4
5
1
3.
0
0
1
1
8
6
5
0
9
9
0
6
6
5
9
9
0
4
4
5
1
1
0
6
6
9
9
2
8
8
2
2
8
8
3
7
7
3
3
7
7
4
5
6
6
5
4
4
5
5
6
6
0
5
4
1
2
3
4
B. Complete the table. Write your answers on your answer sheet.
Present Reading
(m3)
4. 8978
Previous Reading
(m3)
8112
5. 1876
1753
6. 7872
7781
7. 5674
5585
8. 4955
4934
Water Consumed (m3)
2
CO_Q4_Mathematics 6_ Module 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
3
CO_Q4_Mathematics 6_ Module 3
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?
4
CO_Q4_Mathematics 6_ Module 3
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.
Present Reading
Present Reading (kWh): 00199
Previous Reading (kWh): 00125
Electric Consumption:
74 kWh
Previous Reading
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:
5
CO_Q4_Mathematics 6_ Module 3
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.
6
CO_Q4_Mathematics 6_ Module 3
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.
7
CO_Q4_Mathematics 6_ Module 3
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
8
CO_Q4_Mathematics 6_ Module 3
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.
9
CO_Q4_Mathematics 6_ Module 3
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?
10
CO_Q4_Mathematics 6_ Module 3
Assessment
A. Give the reading for each meter. Write your answer in your answer sheet
1.
kWh
2.
kWh
3.
m3
B. Draw the dials to show the meter reading. Write your answer in your answer
sheet.
4. 2321 kWh
5. 1382 m3
11
CO_Q4_Mathematics 6_ Module 3
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)
3
2345
3549
4
2350
4500
5
3570
4590
Kilowatt-hour Used
12
CO_Q4_Mathematics 6_ Module 3
2.
Answer Key
13
CO_Q4_Mathematics 6_ Module 3
What I Know
A.
Study the table below then answer the following questions.
Write your answers on your answer sheet.
Household
A
B
C
D
E
Electric Meter Readings
Previous Readings
Present Readings
(kWh)
(kWh)
3140
3388
6395
6710
4706
4953
5215
5580
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?
14
CO_Q4_Mathematics 6_ Module 3
Lesson
2
Solve Routine and NonRoutine 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.
What’s In
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
Previous Reading
3530
2
523
N=
2. Present Reading
Previous Reading
5687
5
367
N=
B. Solve the cubic meter used in the following water meter readings.
Write your answer in your answer sheet.
3. Present Reading
Previous Reading
6344
5932
4. Present Reading
Previous Reading
5320
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?
15
CO_Q4_Mathematics 6_ Module 3
What’s New
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?
What is It
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.
16
CO_Q4_Mathematics 6_ Module 3
Step 4: CHECK
Look back what is asked in the problem and check the answer to the
problem.
Let’s take another example:
Last month, Alice had a water reading of 1341. This month she
another reading of 1382. How much water was consumed during the given
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.
17
CO_Q4_Mathematics 6_ Module 3
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.
House A
07249
House B
07053
House C
06684
05926
05534
House D
06493
04886
04496
a. Which house has the lowest water consumption?
b. Which house has the highest water consumption?
18
CO_Q4_Mathematics 6_ Module 3
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
Step 3: Solve
a. Know the operations to be used to solve the problem.
b. Write the equation.
a. Solve the problem.
Step 4: Check
a.
Look back. Check and label your answer.
What I Can Do
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?
19
CO_Q4_Mathematics 6_ Module 3
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.
20
CO_Q4_Mathematics 6_ Module 3
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?
21
CO_Q4_Mathematics 6_ Module 3
Answer Key
22
CO_Q4_Mathematics 6_ Module 3
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.
23
CO_Q4_Mathematics 6_ Module 3
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: blr.lrqad@deped.gov.ph * blr.lrpd@deped.gov.ph