2. Mathematics – Grade 5
Alternative Delivery Mode
Quarter 3 – Module 1: Understanding Percent (M5NSIIIa-136-138)
First Edition, 2020
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Editors: Teresa R. Manlapaz PhD
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Elenita D. Caluag
Lilibeth F. Cortez
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Nino M. Ignacio
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Ma. Editha R. Caparas EdD
Nestor P. Nuesca EdD
Fatima M. Punongbayan
Arnelia M. Trajano PhD
Salvador B. Lozano
4. ii
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, quesrions, directions.
Exercises, and discussions are carefully stated for you to understand each lesson.
Each SLM is composed of different parts. Eac part should part should guide you
step-by-step as you discover and understandthe 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 thus 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 tp 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 instructionscarefully 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 toconsult your teacher or facilitator.
Thank you.
5. 1
What I Need to Know
You see percent (%) sign everywhere, in the market, malls, magazines,
newspapers and on your cellphones or tablets. So, it is important that you know and
understand the meaning of percent as well as the relationship of percent, fraction,
ratio and decimals.
At the end of this module you are expected to:
visualize percent and its relationship to fractions, ratios, and decimal
numbers using models. (M5NSIIIa-136)
define percentage, rate or percent, and base. (M5NSIIIa-137)
identify the base, percentage, and rate in a problem. (M5NSIIIa-138)
What I Know
Directions: Choose the letter of the correct answer. Write your answer on a sheet
of paper.
1. How many is 50% of a class?
A.
1
3
B.
1
2
C.
3
4
D.
5
6
2. What term means “per hundred”?
A. base B. percent C. percentage D. rate
3. Change
3
4
to percent.
A. 20% B. 25% C. 75% D. 100%
4. Which does not belong?
A. 25% B. 25/100 C. 25:100 D. 25
5. 76% of the grade 5 pupils are girls. Express 76% as decimals.
A. 0.076 B. 0.76 C. 7.6 D. 76.0
6. 2
6. Which element of percent represents the whole?
A. base B. percent C. percentage D. rate
7. In the statement 35% of 600 = 210. The base is ______
A. 35% B. 210 C. 600 D. none
8. Which element of percent has the percent (%) sign?
A. base B. percent C. percentage D. rate
9. In a 50-item test in Elementary Mathematics, Mikee got 35 items correct. What
percent of the items did she miss? What is the missing element?
A. base B. percent C. percentage D. rate
10.What is the missing element in the problem, “ Cris collected 10 cans of food. If he
is 50% complete with his final goal. How many cans does he want to collect?”
A. base B. percent C. percentage D. rate
7. 3
Lesson
1
Relationship of Percent,
Fractions, Ratios
and Decimals
It was in the 15th century when the idea of percent began. It came from the Latin
word, “per centum “ which means “ for every hundred”. A percent is a ratio of a
number to 100. It is represented by the symbol “%”.
What’s In
Directions: Complete the table by writing the number word in fraction and decimal
forms. Write your answer under the proper column. Do it on a sheet of paper.
Number word Fraction Decimal
1. Eighty-two hundredths
2. Seventy-five hundredths
3. Two-hundredths
4. Fifteen- hundredths
5. Nine-hundredths
8. 4
What’s New
Read and understand the problem.
Luis and Ernie earned ₱100 for
selling junk. They gave ₱73 to their
mother and spend ₱27 to buy
candies. What percent of their
earnings did they give their mother?
What percent did they spend?
a. How did Luis and Ernie earn money?
b. How much did they earn?
c. How did they spend their earnings?
The figure below represents Luis and Ernie’s earnings and savings. The 100
boxes show the total earnings while the 73 shaded boxes represents the amount
given to their mother.
“73 out of 100” can be written as:
Percent: 73%
Ratio: 73:100
Fraction: 73
100
Decimal: 0.73
9. 5
What is It
Compare the shaded part in each grid.
Changing Percent to Fraction
Percent may be written in fraction form. To change percent to a fraction, remove
the percent symbol (%) and write the number as numerator, then 100 as
denominator. This is from the definition that percent means for “every hundred.”
Change the fraction to lowest term, if possible.
Example:
Percent Fraction Fraction in lowest term
1) 42%
2) 9%
3) 25%
4) 16%
percent
35%
ratio decimals fraction
35:100 0.35
35
100
1
4
42
100
0
9
100
25
100
21
50
9
100
16
100
4
25
10. 6
Changing Percent to Decimal
Percent may also be written as a decimal number. To change percent to decimal,
write the percent as a fraction, then divide the numerator by the denominator.
Example:
Another way of changing percent to decimal, change percent symbol (%) to
decimal point then move it twice to the left.
Example:
1) 15% = 0.15
2) 9% = 0.09
3) 68% = 0.68
Changing Percent to Ratio
Percent is a ratio with 100 as the second term. So, to change percent to ratio,
remove the percent sign and write 100 as the second term.
Example:
1. 27% = 27 : 100
2. 5% = 5: 100
3. 87% = 87:100
4. 1% = 1:100
Percent Fraction Decimals
1) 15% 0.15
2) 9% 0.09
3) 13% 0.13
13
100
15
100
9
100
11. 7
What’s More
Activity 1
Directions: Write the name for each shaded part as a fraction, as a decimal, as a
percent and as a ratio. Write your answer on a sheet of paper.
Example:
1. 2. 3.
______
______
______
______
______
______
______
______
______
______
______
______
4. 5.
______
______
______
______
______
______
______
______
0.48
48%
48:100
12
25
12. 8
Activity 2
Directions: Write the ratio, decimal and percent equivalent of each picture. Write
your answer on a sheet of paper.
Activity 3
Directions: Complete the table. Reduce the fraction to lowest term, if possible.
Write your answer on a sheet of paper.
Percent Ratio Fraction Decimal
1. 37%
2. 17:100
3. 1
4.
34
100
5. 0.09
Figure Ratio Decimal Percent
1.
2.
3.
4.
5.
13. 9
What I Have Learned
Directions: Fill in the missing words to complete the meaning. Choose your answer
from the choices given inside the box. Copy and answer on a sheet of paper.
Percent means per (1) ____________. Percent can be written as a ratio with 100 as
the second term or a fraction with 100 as the denominator. It can also be written as
decimal number.
To change percent to fraction, remove the percent sign and write the number as
the (2) ____________, then write 100 as denominator. Change the fraction to (3)
__________ term.
In writing percent to decimal, remove the percent sign, then move the (4)
___________ twice to the left. In changing decimal to (5) ____________, we move the
decimal point twice to the right and affix the percent sign.
What I Can Do
Directions: Read the problem carefully. Answer each item. Write your answer on
a sheet of paper.
1. What fraction of the cellphone’s battery is used if the screen says that the
remaining battery is 29%?
2. Carlo scored 65 out of 100 item test in Math. What percent of the test did he
get correctly?
3. Forty percent of the pupils ride to school. What fraction (in lowest term) of the
pupils ride to school?
4. 36% of Grade 5 pupils walk to school every day. Write 36% in decimal.
5. Kristine packed 20 grapes and a pear in her lunch. She ate thirteen grapes and
a pear. What percent of the grapes did Kristine eat?
decimal point hundred lowest numerator percent
14. 10
Lesson
2 Base, Percentage and Rate
In Mathematics, percent are used like fractions and decimals, as a way to describe
parts of a whole. When you are using percent, the whole is considered to be made
up of a hundred equal parts. In order to apply percent in our daily life,
understanding its elements, rate, base and percentage is a must.
What’s In
Directions: Determine whether the missing element is percentage (P), rate (R) or
base (B). Write your answer on a sheet of paper.
__________1.)____% of 10=10
__________2.) 12% of 72=____
__________3.) 8% of ____=7
__________4.) 6% of 200= ____
__________5.) 20% of ____=16
What’s New
Seventy-five percent of the 40 pupils of Mrs. Robles attended the Magic Show.
How many pupils attended the magic show?
The number sentence in this problem:
75% of 40 is ________.
What is the missing part in the mathematical sentence?
a. How many pupils did Mrs. Robles have in all?
Answer: 40 is a whole or total number. It is called base.
b. How many percent of the pupils attended the magic show?
Answer: 75% is the rate which can be expressed as a ratio or as fraction
15. 11
c. How many pupils attended the magic show?
Answer: 30 is 75% of 40.
30 is the percentage. It is a part of the whole.
Therefore the missing element is percentage.
What is It
Study these examples.
15% of 60 is 9.
15% is the rate. It is given as percent. It can be expressed as a ratio or
as a fraction.
Rate is the number with the % sign.
60 is called the base. It is the whole of which you take the percent.
Base is the number that usually follows the phrase “percent of”.
9 is called the percentage, meaning part of the whole.
Percentage at a constant rate is directly proportional with base.
In symbols:
P = R x B , where P is the percentage, R is the rate and B is the base.
Another example:
54 is 45% of 120
Rate = 45%
Base = 120
Percentage = 54
Rate
Base
Percentage
16. 12
What’s More
Activity 1
Directions: Identify the base, rate and percentage. Do it on a sheet of paper.
Rate Base Percentage
1. 20% of 40 is 8
2. 540 is 45% of 1200
3. 13% of 300 is 39
4. 34 is 85% of 40
5. 30% of 120 is 36
Activity 2
Directions: Write Rate, Base or Percentage on the blank to identify what element
is missing. Write your answer on a sheet of paper.
__________ 1. 30 is 15% of what number?
__________ 2. What is 78% of 100?
__________ 3. 8 is what percent of 16?
__________ 4. 12 is 40% of what number?
__________ 5. What percent of 45 is 9?
Activity 3
Directions: Read the problems carefully and determine what element is missing.
Write your answer on a sheet of a paper.
1. In a 50-item test, Nestor got 95% correctly. How many correct answers did
he get?
2. A refrigerator marked ₱7,200 was sold at a 12% discount. How much was
the discount?
17. 13
3. A family with an income of ₱3,500 spends ₱2, 100 for food. What percent of
the income is spent for food?
4. Leo saved 30% of his monthly earnings. If he saved ₱4000 a month, how
much was his earnings?
5. If Justin scored 75% on a 20 item test, how many points did he get?
What I Have Learned
Direction: Supply the missing term in the blank. Choose your answer from the
choices given inside the box. Write your answer on a sheet of paper.
When solving any problem in percent, remember the following:
Percent problem has 3 elements: Base, Rate and Percentage.
Percentage is part of a whole.
(1) __________ is the total or whole number.
The number with the percent sign is the (2) ________.
Rate can be written as (3) __________ or as (4) _____________,
Base Decimals Fraction Rate
18. 14
What I Can Do
Direction: Identify the rate, the base and the percentage. Write your answer on a
sheet of paper.
1. 30% of N is 12.
Rate: ________
Base: ________
Percentage:________
2. N is 30% of 12 000.
Rate:________
Base:________
Percentage:________
3. 26 is 40% of N.
Rate: ________
Base: ________
Percentage: ________
4. 60 is N% of 80.
Rate: ________
Base: ________
Percentage: ________
5. 75% of N is 30.
Rate: ________
Base: ________
Percentage: ________
19. 15
Assessment
Direction: Choose the letter of the correct answer. Write your answer on a sheet
of paper.
1. What term means “per hundred”?
A. base B. percent C. percentage D. rate
2. Which of the following is correct?
A. 33% = 0.33 B. 33% = 03.3 C. 33% = 33 D. 33% = 3.03
3. 45% of the grade 5 pupils are girls. Express 45% as decimals.
A. 0.045 B. 0.45 C. 4.5 D. 45.0
4. In the statement 35% of 600 = 210. Which is the percentage?
A. 35% B. 600 C. 210 D. none
5. Which does not belong?
A. 21% B. 21/100 C. 21:100 D. 21
6. Which element of percent represent part of the whole?
A. base B. percent C. percentage D. rate
7. In a survey on the choice of pizza, 900 out of 1500 people preferred brand A
to B. What percent preferred A? What is the missing element?
A. base B. percent C. percentage D. rate
8. What is the missing element in the problem, “A big theater has 1400 seats.
During a concert, it is 95% full. How many seats were taken?”
A. base B. percent C. percentage D. rate
9. Which element of percent represents the whole?
A. base B. percent C. percentage D. rate
10.How many is 75% of a class?
A.
1
3
B.
1
2
C.
3
4
D.
5
6
20. 16
Additional Activities
Direction: The table below shows the scores of four pupils in a recent periodic test.
Use the table to answer the question that follows. Do it on your answer sheet.
Name of
Pupil
Score
Math Science Filipino English Makabayan
Jake 85% 90% 96% 88% 84%
Lyka 46
50
44
50
49
50
40
50
45
50
Ken 0.78 0.81 0.83 0.8 0.92
Ruby 37:50 9:10 41:50 21:25 24:25
1. Among the pupils, who got the highest score in:
a. Math? c. Filipino? e. Makabayan?
b. Science? d. English
2. If the passing score is 75%, who failed in a test? In which test did he/she
fail?
23. 19
References
A. Books
Bamba, Nelia, Magdalena Garcia, Grace Uy, Gundalina Gonzales, Gerlie Ilagan,
Consuelo Caringal, Emma Makassiray, Ester Santiago, Milagros Juakay,
Lucia Almazan, Julie La Guardia, Federico Reyno and Noemi
Aguilar. Lesson Guides In Elementary Mathematics 5, 2003.
Coronel, Carmelita, and Nelia Bamba. Mathematics For Better Life. 1st ed. Reprint,
Quezon City: SD Publications, Inc, 2010.
Lumbre, Angelina, and Alvin Ursua. 21St Century Mathletes 5. Reprint, Quezon City:
Vibal Group, Inc, 2016.
B. Electronic Resources
"DLP Grade 5 Module 44 - Relating Fractions, Decimals, Ratio And Percent". LMRDS.
Accessed 22 December 2020. https://lrmds.deped.gov.ph/detail/7266.
"K-12 MELCS With CG Codes". Deped Commons. Accessed 17 December 2020.
https://commons.deped.gov.ph/K-to-12-MELCS-with-CG-Codes.pdf.
24. For inquiries or feedback, please write or call:
Department of Education – Bureau of Learning Resources (DepdEd-BLR)
Ground Floor, Bonifacio Bldg., DepEd Complex
Meralco Avenue, Pasig City, Philippines 1600
Telefax: (632) 8634-1072; 8634-1054; 8631-4985
Email Address: blr.Irqad@deped.gov.ph * blr.lrpd@deped.gov.ph
