MULTIPLYING DECIMALS

AND MIXED DECIMALS

for Mathematics Grade 6
Quarter 1/Week 4
 FOREWORD

This Self-Learning Kit will serve as a guide in multiplying

decimals and mixed decimals with factors up to 2 decimal
places. It will be your aid as you learn new ideas and enrich your
existing knowledge about mathematical concepts.

In this learning kit, the pupils will also gain knowledge in

solving routine and non-routine problems involving
multiplication of decimals and mixed decimals including
money using appropriate problem solving strategies.

The following are the special and unique features of the Self-
Learning Kit:

A. What Happened The pupils are ask to answer activities that

will allow them to apply what they have learned prior to
the discussion of the learning competency.

B. What You Need To KnowThis is the part where the learning

competency/ies is/are being discussed.

C. What Have I Learned It aims to check the pupils understanding of

the learning competency in multiplying decimals and mixed
decimals with factors up to 2 decimals places.

Math is fun. We hope that this Self-Learning Kit will help our dear
pupils to enhance their mathematical skills that would soon be applied
in their everyday lives.

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 OBJECTIVES:
 Identifies the steps in multiplying decimals by whole numbers and
mixed decimals
 Multiplies decimals by whole numbers and mixed decimals with
factors up to 2 decimal places
 Be patient and accurate in multiplying decimals whole numbers and
mixed decimals

LEARNING COMPETENCIES:
1. Multiplies decimals and mixed decimals with factors up to 2
decimal places. M6NS-Ie-111.3
2. Multiplies mentally decimals up to 2 decimals places by 0.1,
0.01,10, and 100. M6NS-Ie-111.4
3. Solves routine and non-routine problems involving multiplication
of decimals and mixed decimals including money using
appropriate problem solving strategies. M6NS-Ie-113.2

I. What Happened

“Hello! Good day! How

are you today? This is
teacher Ilonah. I am here
to help you multiply
decimals and mixed Good
decimals with factors up morning
to 2 decimal places”. Are Ma’am. I find
you ready to learn with it hard to
me? Let’s go! multiply
decimals. I
am very
Good morning willing to
Ma’am. I am learn from
ready and you.
excited to
multiply decimals.

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PRE-ACTIVITIES/PRE-TEST:
AUTOMATHIC CHALLENGE #1

Answer the following within 4 minutes. Get a stopwatch and test yourself.
Write your answer in your notebook.

0.6 0.3 7.5 0.6 9.4 4.5

x5 x 0.4 x7 x 0.4 x3 x8

0.2 6.1 0.8 0.7 1.5 5.1

x5 x7 x 0.5 x 0.3 x3 x 0.8

4.2 5.9 2.9 1.8 3.5 2.9

x7 x 0.3 x5 x 0.5 x6 x4

52 100 48 235 167 45

x 10 x 4 x10 x 10 x 10 x 10

61 10 413 54 100 15
x 10 x5 x 10 x 10 x 75 x 10

2.5 23.9 3.9 5.6 1.3 21.5

x 0.1 x 0.01 x 0.1 x 0.1 x 0.1 x 0.01

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AUTOMATHIC CHALLENGE #2
Write the number of decimal places in each of the given number
below. Write your answer in your notebook.

1. 4.
0.45 2.22
2. 0.003 5. 0.45

3. 0.806 6. 5.1211

AUTOMATHIC CHALLENGE #3

Match Column A with Column B. Write the letter of your answer in

your notebook.

COLUMN A COLUMN B

1. 0.6 x 0.2 a. 2.18

2. 4.36 x 0.5 b. 0.00158

3. 2.5 x 0.03 c. 1.004

4. 0.04 x 25.1 d. 0.12

5. e.
0.002 x 0.79 0.075

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II. What You Need To Know
That’s easy as
ABC! I will be
Ma’am, discussing the
how do we ways on how to
multiply multiply
decimals? decimals. Please
get ready.

Yes Ma’am. We
are ready!

MATHiscovery #1

Multiplying Decimals by Whole Numbers

Joshua wants to buy 12 notebooks. One notebook costs ₱10.15.

How much will he pay?

Multiply as in whole numbers

1 Count the number of
10.15 2 decimal places decimal places in both
x 12 0 decimal place factors (2 +0 = 2)
20 30
+ Proceed to addition
1015
121.80 Jump twice (2) from right to left and put a
decimal point between 1 and 8. (2 decimal
places)

Therefore, Joshua will pay ₱ 121.80

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 MATHiscovery #2

Multiplying Decimals by Mixed Decimals

In multiplying a decimal by another decimal, multiply them as if they

are whole numbers. In placing the decimal point in the product, get
the sum of the number of decimals places in each factor.

Multiply as in whole numbers

1
2 decimal places Count the number of
24.12 decimal places in both
x 1.23 2 decimal place factors (2 +2 = 4)
17236
482 4 Proceed to addition
+
2412
29.6676 Jump four (4) times from right to left and put a
decimal point between 1 and 8. (4 decimal
places)

MATHiscovery #3

Multiplying Decimals by 10, 100,

Step 1 Count the number of zeros in 10, 100, 1000

37.974 x 100 2 zeros

Move the decimal point to the right based on the

Step 2
number of zeros

37. 974 x 100 = 3 7 . 9 7 4 (move twice to the right)

Step 3 Write the final answer. 3, 797.4

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Multiplying Decimals by 0.1, 0.01, 0.001

Count the number of decimal places in the tenths,

Step 1 hundredths or thousandths

0.754 x 0.01 2 decimal places

Move the decimal point to the left based on the

Step 2
number of decimal places

0.754 x 0.01 = 0.754 (move twice to the right)

Step 3 Annex “0” the final answer. 0.00754

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III. What Have I Learned

MATHry CHALLENGE #1

Direction: Multiply the following decimals. Select your

answer from the choices and write it in your notebook.

0.36
x 0.14 0.0054 0.540 0.0504 0.5400
1.

0.485
x 1.6 0.776 0.0776 0.0076 0.7776
2.

2.91
x 0.25 0.7275 0.0727 0.0772 0.7727
3.

0.078
x 0.82 0.66396 0.6396 0.06396 0.9936
4.

5.916
x 4.8 2.8396 28.3968 283.968 3.968
5.

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 MATHry CHALLENGE #2

Direction: Copy and write the missing number in your

notebook. (10, 100, 1, 000, 0.1, 0.01, 0.001) to make the
multiplication sentence correct.

1) 40.02 x = 400.2

2) 2.46 x = 24.6 3)10.25 x = 0.1025

4) 62.29 x = 6.229

5) 0.23 x = 2.3 6) 3.63 x = 363

7) 23.72 x = 2.372

8) 42.73 x = 427.3 9) 4.27 x = 0.427

10) 3.04 x = 304

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 MATHry CHALLENGE #3

Direction: Read and analyze the problem. Write the letter of

the correct answer in your notebook.

1. A cone of ice cream costs ₱16.25. How much in all did the 8
children spend for ice cream?

a. ₱110.00 b. ₱120.00 c. ₱130.00 d. ₱140.00

2. How much will 6 kilograms of rice cost if one kilogram cost

₱49.50?

a. ₱297.00 b. ₱296.00 c. ₱295.00 d. ₱294.00

3. A car consume 0.85 liter of gas per kilometer. How many

liters of gas can be consumed if the car travel 0.95
kilometers?

a. 0.8075 b. 8.075 c. 80.75 d. 0.0875

4. What is the area of a rectangle with a length of 9.72 cm and

a width of 6.34 cm?

a. 61.6248 cm2 b. 60.6248 cm2 c. 61.6246 cm2 d. 61.6244 cm2

5. During their recess time, Nizel wants to buy 3 ice candies

for him and his two friends. If each ice candy costs ₱3.50,
how much money is needed for him to buy it?

a. ₱10.50 b. ₱12.50 c. ₱10.00 d. ₱13.00

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 DEPARTMENT OF EDUCATION
SCHOOLS DIVISION OF NEGROS ORIENTAL

SENEN PRISCILLO P. PAULIN, CESO V

Schools Division Superintendent

JOEYLYZA M. ARCILLA, EdD

Assistant Schools Division Superintendent

MARCELO K. PALISPIS, EdD

Assistant Schools Division Superintendent

NILITA L. RAGAY, Ed.D.

OIC-Assistant Schools Division Superintendent
CID Chief

ROSELA R. ABIERA
Education Program Supervisor – (LRMDS)

ELISA L. BAGUIO, EdD

Division Education Program Supervisor – MATHEMATICS

MARICEL S. RASID
Librarian II (LRMDS)

ELMAR L. CABRERA
PDO II (LRMDS)

ILONAH JANE E. AVENIDO

Writer

ILONAH JANE E. AVENIDO

Illustrator/Lay-out Artist

ALPHA QA TEAM

CRISTY L. AGUILING
JOEL G. CATUBAY
NESTOR R. PAJANTOY

BETA QA TEAM

ELIZABETH A. ALA-AP
EPIFANIA Q.CUEVAS
NIDA BARBARA S. SUASIN
VRENDIE P. SYGACO
MELBA S. TUMARONG
HANNAHLY I. UMALI
DISCLAIMER

The information, activities and assessments used in this material are designed to provide
accessible learning modality to the teachers and learners of the Division of Negros Oriental. The
contents of this module are carefully researched, chosen, and evaluated to comply with the set
learning competencies. The writers and evaluator were clearly instructed to give credits to information
and illustrations used to substantiate this material. All content is subject to copyright and may not be
reproduced in any form without expressed written consent from the division.
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SYNOPSIS ANSWER KEY

This Self Learning Kit is all about the

ways on how to multiply decimals and

mixed decimals with factors up to 2

decimal places. This will help you learn

more about mathematical concepts

that is very useful in your everyday life.

What are you waiting for?

Common! Open it up and explore. This

will help you a lot!

AUTHOR, ILLUSTRATOR & LAY-OUT ARTIST

ILONAH JANE E. AVENIDO. She earned her bachelor’s

degree in Elementary Education at Negros Oriental State
University Main Campuses I and II in Dumaguete City. She
graduated as Magna Cum Laude last 2014. She is
currently teaching at Pantao Elementary School as
Grade 3 Adviser. She is also the District Subject Specialist
in Mathematics (Elementary) of Mabinay District II.

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 REFERENCES

Perez, M., &et. al. 21st Century Mathletes. Quezon City Philippines: Vibal
Group, Inc. 2016

Placer, D., &et. al. 21st Century Mathletes. Quezon City Philippines: Vibal
Group, Inc. 2016.

Tuliao, A., &et. al. Realistic Math Scaling Greater Heights. Quezon
Avenue: Sibs Publishing House, Inc. 2016

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