MATH 6 Q1 Week 5 - Share for learningpdf

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3. Multiplying Decimals
and Mixed Decimals
with Factors Up to 2
Decimal Places

4. At the end of the lesson, the learners are
expected to:
*multiply decimals and mixed
decimals with factors up to 2 decimal
places (M6NS-Ie-111.3)

5. LET US READ:
To the left of the point
Are the ones, tens, hundreds
To the right of the point
Are tenths and hundredths
Thousandths, ten thousandths

6. LET US READ:
The further you go
Means you're representing
smaller parts of the number
that you know.

7. KING BACK L
Read the situation:
The school hosted a singing contest. The scores of two contestants in the Finals are
shown in the table below:
C


Contestan
t








Voice
Quality
(40)
















Stage
Presence
(20)




Technique
(25)



Impact
(15)




Jo


35.7


17.6 20.8 14


Jean


36.3


15.9


21


13.2

8. Answer the following questions.
1. What is Jo's total score? What is Jen's
total score?
2. Who won between Jo and Jen?
3. How many more points should the
non-winner have scored to tie with the
winner?

9. The First Man on the Moon

10. Do you know how much we
weigh on the Moon? 

To find out, we need to multiply
our weight on Earth by
approximately 0.17 so we
would know our weight on the
Moon.


11. "Louis, an astronaut, will travel
to the moon to do some
explorations on its surface. He
weighs 63 kg here on Earth.
What would be his weight when
he lands on the moon?"


12. Do you think his weight on
the moon is more than 10
kg? What is the most it could
be? Could it be 12 kg?


13. Think-Pair-Share

63 x 0.17 = 10.71 kg

Give the exact product of the
following:
6.3 x 0.1763 x 1.7
0.63 x 0.176.3 x 1.7

14. How did you know where to
place the decimal point in
each product?

15. To multiply decimals, first multiply as
if there is no decimal. Next, count
the number of digits after the
decimal in each factor. Finally, put
the same number of digits behind
the decimal in the product.

16. Find each product.
1. 22.7 x 0.08
2. 4.3 x 0.9
3. 6.28 x 0.58
4. 4.53 x 0.77
5. 78.5 x 1.2

17. Encircle the mathematical statement that gives the
greater product.

1.) 0.29 x 0.8 0.92 x 0.08
2.) 5.4 x 0.17 0.45 x 7.1

18. A student assistant in a university earns P35 per hour. The
table below shows the number of hours she worked each
day during a certain week.

Day Hours
Monday 3.5
Tuesday 2.25
Wednesday 2.75
Thursday 2.2
Friday 4.10
How much did she
earn each day?
How much did she
earn in that week?

19. How do we multiply decimals and
mixed decimals?

How do you know where to place the
decimal point in the product?

What have you learned?

20. ASSESSMENT
Complete each statement.
1. The product of 2.5 and 3.45 is _____.
2. 18.72 times 2.9 is _______.

3. 2.35 x 1.6 = ______.

4. 24.56 multiplied by 3.5 is equal to ______.

5. When 3.57 is multiplied by 14.2, the number of
decimal places in the product is _____because
_______.

21. Put the decimal point in the correct place in
the product.
1.) 1.2 x 6= 7 2
2.) 12.4 x 0.78 = 9 6 7 2
3.) 3.34 x 1.4 = 4 6 7 6
4.) 2.3 x 12.3 = 2 8 2 9
5.) 2.34 x 1.23 = 2 8 7 8 2
What have you learned? ASSIGNMENT

23. Multiplying Decimals
and Mixed Decimals
with Factors Up to 2
Decimal Places

24. At the end of the lesson, the learners are
expected to:
*multiply decimals and mixed
decimals with factors up to 2 decimal
places (M6NS-Ie-111.3)

25. LET US READ:
1. multiply
2. multiplier
3. multiplicand
4. product
5. decimal point

26. KING BACK L
Show your answers to the following using
your drill boards.
2.4 x 6
23.9 x 1.1
8.25 x 0.43
73 x 14.2
23.4 x 1.25

27. How do we multiply decimals
and mixed decimals?

How do you know where to
place the decimal point in the
product?


29. Who among you do a lot of
exercise?
What activities do you engage in
to make yourself physically fit?
Why is it important for us to
exercise?
What benefits do we get from it?


30. Lola Patring keeps her body
healthy by walking every
day. She walks at a rate of
25.4 meters per minute. How
far can she walk in 4.75
minutes?


31. What does Lola Patring do to
make her body healthy? How
far can she walk in a minute?
What is the problem asking us to
do?


32. Think-Pair-Share

25.4 x 4.75 = 120.65m

What do you notice between the
number of decimal places in the
factors and the number of
decimal places in the product?


33. You can drop the zeros on the right
once the decimal point has been
placed in the product.
Example:
25.4 x 4.75 = 120.650m

25.4 x 4.75 = 120.65m



34. Fred and Perry are shown the following
statement: 308 x 10.25 = ______
Fred thinks that the exact answer can be
read up to the ten thousandths place. But,
Perry thinks it would be easier to read it
until the hundredths place only. Which of
them is correct? Why?

35. The butterfly collector measures the
wings of a butterfly and finds that the
length is 0.79 dm. If 25 butterflies have
the same length of wings, what is the
total length of all the wings?

36. Mother bought 10.5 kilos of
sugar at P52.95 a kilo. How
much did she pay for it?


37. How do we multiply decimals and
mixed decimals?

How do you know when to annex or
drop zeros in the decimal product?

What have you learned?

38. ASSESSMENT
A swimmer can swim 50.2 meters in 1
minute. How far can he swim in:
1.) 0.5 minute?
2.)1.25 minutes?
3.) 3.75 minutes?
4.) 10.25 minutes?
5.) half an hour?

39. Read, analyze, and solve each problem. Show your complete and neat solution.

1) In April, a small business establishment spent an average of P175.25 daily on electricity.
How much did it pay for electricity during that month?

2) A carpenter is computing for the area of each room in the house that they are constructing.
Help him complete the table below.




What have you learned? ASSIGNMENT
lengthwidthArea
5.45 m3.2 m 
10.2 m4.1 m 
6.75 m5.61 m 
10.75 m6.32 m 
4.32 m3.12 m 

41. Multiplying Decimals
Up to 2 Decimal Places
by 0.1, 0.01, 10 and 100
Mentally

42. At the end of the lesson, the learners are
expected to:
*multiply mentally decimals up to 2
decimal places by 0.1, 0.01,10, and
100 (M6NS-Ie-111.4)

43. LET US READ:
1. thirty-four and seven tenths
2. six hundred fifty-five thousandths
3. one thousand three hundred
twenty-one ten thousandths
4. seventy-eight hundredths
5. four and two thousandths

44. KING BACK L
Show your answers to the following using
your drill boards.
23 x 1
23 x 10
23 x 100
23 x 1000
23 x 10000

45. What is a quick way to get
the answer when a whole
number is multiplied by 10,
100, or 1000 (or even 10
000)?


46. Have you tried selling items to a
junkshop before?
What items have you sold?
Is it good that we sell items to
junkshops? Why?


47. Mang Ambo sold copper wire to the
nearest junkshop. The table below shows
the packs of copper wires he sold.

PackAmount per kgWeight in kg
A P45.75 0.01
B P45.75 0.1
C P45.75 10
D P45.75 100

48. ❖How much is 1 kg of copper wire?
❖How will Mang Ambo find the
amount he will be paid for each
pack?


49. Think-Pair-Share

Study the following:

C. P45.75 x 10 = P457.50
D. P45.75 x 100 = P4,575.00



50. ✔When you multiply a decimal by
10 or 100, what do you notice
about the multiplicand and the
product?
✔What do you observe about their
digits? 


51. In multiplying decimals by 0.1 or 0.01, move the decimal point
of the other factor to the left by the number of decimal places in
0.1 and 0.01. The resulting number is the product.
Examples:
1.0.2 x 0.1 = 0.021. 0.3 x 0.01 = 0.003
2. 0.23 x 0.1 = 0.0232. 8.5 x 0.01 = 0.085
3. 8.15 x 0.1 = 0.8153. 56.2 x 0.01 = 0.562
4. 21.4 x 0.1 = 2.144. 391.5 x 0.01= 3.915
5. 146.25 x 0.1 = 14.6255. 429.15 x 0.01 = 4.2915


52. In multiplying a decimal by a power of 10, move the decimal
point of the decimal factor by the same number of places to the
right as the number of zeros in the factor which is a power of 10.
Annex zero when necessary to complete the number of digits in
the product.
Examples:
1.0.7 x 10 = 71. 0.5 x 100 = 50
2.0.21 x 10 = 2.12. 0.75 x 100 =75
3.42.52 x 10 = 425.203. 421.5 x 100 = 42150



53. 


Complete the following puzzle.

ACROSS
1.) 1.436 x 100
2.) 45.38 x 10
DOWN
1) 164 x 0.1
3.) 10 x 3.83
4.) 62.8 x 0.1

54. Mang Ambo found out that
another junkshop buys copper
wire at P48.50 per kg. How much
more could he have earned if
he sold his 4 packs of copper
wire to this junkshop than the
other one?


55. When is it useful to compute
products mentally?


56. How do we multiply a decimal by 10 or
100? What is a quick way to get the
answer mentally?

How do we multiply a decimal by 0.1 or
0.01? What is a quick way to get the
answer mentally?

What have you learned?

57. ASSESSMENT
Find the product mentally.
1.) 8.4 x 10
2.) 4.35 x 0.1
3.) 134.23 x 0.01
4.) 0.24 x 100
5.) 1.23 x 0.1

58. Complete each table by following the rule.

Rule: Multiply by 0.1


What have you learned? ASSIGNMENT
InputOutput
0.5 
7.12 
6.3 
48.9 
19.07 
(Do this also for
multiplying by
0.01, 10 and 100.)


60. Solving Routine Problems
Involving Multiplication of
Decimals and Mixed
Decimals Including
Money Using Appropriate
Problem

61. At the end of the lesson, the learners are
expected to:
*solve routine problems involving multiplication
of decimals and mixed decimals including
money using appropriate problem-solving
strategies. (M6NS-Ie-113.2)

62. LET US READ:
1. one and two hundred eighteen
thousandths
2. ninety-nine thousandths
3. thirty-six and forty-two ten thousandths
4. twenty-seven hundredths
5. five and five thousand three hundred
sixty-eight ten thousandths

63. KING BACK L
Show your answers to the following using
your drill boards.
10 x 0.56
4.63 x 0.1
2.36 x 0.01
0.36 x 0.001

64. ▪How do we multiply decimals and
mixed decimals by 10 and 100?

▪How do we multiply decimals and
mixed decimals by 0.1 and 0.01?


65. Do your parents sometimes ask you to
buy goods in the market or in the sari-sari
store?
What items do you usually buy?
How do you feel when your parents ask
you to buy something in the market or in
the sari-sari store?
Why is it important to help your parents?

66. Joan went to the market to buy
fish to be cooked by her mother
for lunch. She bought 2.5 kilos of
tilapia at P110 per kilo. How
much did she pay for it?"


67. Read, analyze and solve.
Mother bought 15.75 kilos of flour
for making trays of polvoron. If
each kilo of flour costs P45.50,
how much did she pay for it?


68. In solving routine problems, use POLYA’S 4
Steps, UNDERSTAND, PLAN, SOLVE and
CHECK.
❖Designed by George Polya nearly 100
years ago. It is a method to solve all
kinds of problems:

69. 


Read, analyze, and solve this
problem.
The classroom is 12.5 meters long
and 7.25 meters wide. What is its
area?

70. Read, analyze and solve.
How much will a construction
company pay for a heavy
equipment in 8.75 hours at the
rate of P2,500 per hour?


71. How do we solve word problems
involving multiplication of
decimals and mixed decimals?

What have you learned?

72. ASSESSMENT
Read, analyze and solve. Show your
complete and neat solution.
Jason earns P380.65 daily. His sister
earns 1.5 times what he earns daily.
How much does his sister earn in a day?

73. Read, analyze and solve. (Workbook in Math 6,
Apply your skills, number 1, page 56)

Tickets for adult cost P120.00 each while those for
children 12 years below cost half as much as that of
an adult ticket. What is the cost of 5 tickets for adults
and 8 tickets for children?

What have you learned? ASSIGNMENT

75. Solving Non-Routine
Problems Involving
Multiplication of Decimals
and Mixed Decimals
Including Money Using
Appropriate Problem

76. At the end of the lesson, the learners are
expected to:
*solve non-routine problems involving
multiplication of decimals and mixed decimals
including money using appropriate
problem-solving strategies. (M6NS-Ie-113.2)

77. LET US READ:
1. forty-four and two hundred seventeen
thousandths
2. two hundred one and thirty-two thousandths
3. forty-seven and one hundred one thousandths
4. fifteen and three thousand one hundred
thirty-three ten thousandths
5. twenty-seven and fourteen hundredths

78. KING BACK L
How do we solve such word
problems?
What is Polya’s 4 Steps?



79. Do you find the problem in the
previous lesson interesting and
challenging?
Have you experienced similar
situations in real life?

80. The area of a rectangular room is 24
square meters. What could be the
possible dimensions of the room?

Length x Width=Area


81. Length WidthArea
3 m 8 m 24 m
2.4 m 10 m 24 m
7.5 m 3.2 m24 m
How is this problem similar to/different
from the problems we solved yesterday?


82. In solving routine problems, use POLYA’S 4
Steps, UNDERSTAND, PLAN, SOLVE and
CHECK.
❖Designed by George Polya nearly 100
years ago. It is a method to solve all
kinds of problems:

83. 


Write the number sentence, then
solve.
The rental for a Tamaraw FX is P3,500
a day. What will it cost you to rent it
for 3.5 days?

84. Why is it important for you to be
capable of solving different types of
problems?


85. How do we solve word problems
involving multiplication of
decimals and mixed decimals?

What have you learned?

86. ASSESSMENT
Read, analyze and solve. Show your
complete and neat solution.
Emily plans to make a 4.5m-by-4.5m square
garden in her backyard. But due to lack of
space, she decides to make it rectangular
instead, while covering the same area.
What could be the possible dimensions of
her garden?

87. Read, analyze and solve.
Luis has P25, made up of 10-centavo and 25-
centavo coins. How many of each kind could he
possibly have?

What have you learned? ASSIGNMENT