The document discusses various multiplication concepts and problems. It covers partitioning shapes into parts and expressing sets as multiplication problems. Students are asked to use a number line to solve multiplication equations, understand multiplying by 10s, and determine if answers are reasonable based on multiplication rules. Challenge problems involve calculating earnings, saving amounts over time, and sharing original amounts given certain transfers between parties.

2. TOPIC:
MULTIPLICATION

3. A. Partition the shape as described and then count
to find the number of parts.
1) 4 rows 2) 6 rows 3) 5 rows 4) 7 rows
5 columns 8 columns 7 columns 9 columns

4. . Partition the shape as described and
then count to find the number of parts.
1) 4 rows 2) 6 rows 3) 5 rows 4) 7 rows
5 columns 8 columns 7 columns 9 columns
20 48 35 63

5. B. Express each set as a multiplication problem.
3 x 2 5 x 3
7 x 4

6. C. Use the number line to solve each problem.
1) 4 x 5
5 x 4
2) 2 x 10
10 x 2

7. C. Use the number line to solve each problem.
1) 4 x 5
5 x 4
2) 2 x 10
10 x 2

8. C. Use the number line to solve each problem.
3) 3 x 6
6 x 3
4) 7 x 5
5 x 7
5) 4 x 8
8 x 4

9. C. Use the number line to solve each problem.
3) 3 x 6
6 x 3
4) 7 x 5
5 x 7
5) 4 x 8
8 x 4

10. D. Understanding multiplying by 10s. Solve each equation.
8,000
210,000
320,000
63,000
400,000

11. D. Understanding multiplying by 10s. Solve each equation.
5,400
560,000
81,000
72,000
42,000

12. E. Use the multiplication table to answer the questions

13. F. Determine if the answer shown is reasonable (YES) or not (NO).
*Any number times 2 has to end in an even number (2,4,6,8)
Ex. 2 x 7 = 14 ; 2 x 18 = 36
*Any number times 5 has to end in either a 5 or a 0.
Ex. 5 x 6 = 30 ; 5 x 15 = 75
*Any number times 10 has to end in a 0.
Ex. 10 x 9 = 90 ; 10 x 12 = 120

14. F. Determine if the answer shown is reasonable (YES) or not (NO).
1. a) 258 x 2 = 516 b) 561 x 5 = 2 805
2. a) 420 x 2 = 840 b) 432 x 5 = 2 162
3. a) 615 x 2 = 1 235 b) 742 x 5 = 3 710
4. a) 774 x 2 = 1 548 b) 876 x 5 = 4 382
5. a) 981 x 2 = 1 963 b) 965 x 5 = 4 825
yes
yes
No
Yes
no
yes
no
yes
no
yes

15. F. Determine if the answer shown is reasonable (YES) or not (NO).
1. c) 10 x 358 = 3 582
2. c) 10 x 505 = 5 050
3. c) 10 x 1 764 = 17 640
4. c) 10 x 3 456 = 34 565
5. c) 10 x 9 321 = 93 210
no
yes
yes
no
yes

17. II. Answer the following.

18. 1. If 13 x 13 = 169, what is 130 x 130?
4. The entrance fee to a town fair was ₱120 for adults and ₱85 for
children. Mr. Tan bought tickets for 5 adults and 7 children. How much
did all the tickets cost?
3. Rhian bought 4 apples for ₱54. At that rate, how much will 3 dozen
apples cost?
2. Aldrin has 6 cats and 7 birds. How many animal legs are there in all?
5. There were 12 rows of mango trees with 10 trees in each row. Kuya
Gabriel decided to plant 2 more trees in each row. How many trees in all
will there be? (144)

19. 1. If 13 x 13 = 169, what is 130 x 130?
3. Rhian bought 4 apples for ₱54. At that rate, how much will 3 dozen
apples cost?
2. Aldrin has 6 cats and 7 birds. How many animal legs are there in all?
16900
The 6 cats have 24 legs and 7 birds have 14 legs.
24 + 14 = 38
₱486
38 legs
If 4 apples cost 54, then a dozen cost 3 x54m= 162’
3 dozens cost 3 x 162 = 486

20. 4. The entrance fee to a town fair was ₱120 for adults and ₱85 for
children. Mr. Tan bought tickets for 5 adults and 7 children. How much
did all the tickets cost?
₱ 595
Since 2 more trees will be added in each row, there will be
12 rows of 12 trees. 12 x 12 = 144
5. There were 12 rows of mango trees with 10 trees in each row. Kuya
Gabriel decided to plant 2 more trees in each row. How many trees in all
will there be? (144)
For adults , 5 x 120 = 600
For children , 7 x 85 = 595
Total cost is ₱ 595
There will be 144 trees.

21. 6. There are 5 boxes that holds 15 durians. Each box has a different
number of durian. No box is empty. How many durians are there in each
box?
8. The product of 35 x 55 is closest to which multiple of 100?
7. How many times as great is the underlined 8 in 826 810 than the 8 that
is not underlined?

22. 6. There are 5 boxes that holds 15 durians. Each box has a different
number of durian. No box is empty. How many durians are there in each
box?
8. The product of 35 x 55 is closest to which multiple of 100?
7. How many times as great is the underlined 8 in 826 810 than the
8 that is not underlined?
1 2 3 4 5
The underlined 8 is 800 000. The non-underlined is 800.
It is 1000 times.
1000
The underlined 8 is 800 000. The non-underlined is 800.
It is 1000 times.

23. 9. Patrick saw 9 pigs and cows. He counted that there were 10 cows
and horses. There were 16 animals in all. How many cows were
there?
10.If 5 people eat 10 loaves of bread in 5 days, how many loaves of
bread will 20 people eat in 20 days?
11. A leaking faucet wastes about 3 liters of water a day. How much
water can be saved daily if 500 leaking faucets are repaired?

24. 9. Patrick saw 9 pigs and cows. He counted that there were 10 cows
and horses. There were 16 animals in all. How many cows were
there?
10.If 5 people eat 10 loaves of bread in 5 days, how many loaves of
bread will 20 people eat in 20 days?
6 pigs, 7 horses , 3 cows
40 loaves of bread

25. 11. A leaking faucet wastes about 3 liters of water a day. How much
water can be saved daily if 500 leaking faucets are repaired?
1:3 = 500: 1 500 liters
1 500 liters

26. 12. An egg vendor bought 600 eggs from Wonder Farm. She paid ₱148 per dozen.
How much did she pay in all?
13. The product of two whole numbers is 10 000. If neither number contains a
zero digit, what are the numbers?
₱7 400
625, 16
Get how many dozens is 600 eggs.
600 ÷ 12 = 50
₱148 x 50 = ₱7400
You may start with 10 000 ÷ 20 = 500
10 000÷ 18 = _____
10 000 ÷ 16 = _____
10 000 ÷ 14 = ______

27. III. Challenge!

28. 1. Mrs. Cruz, a part time college instructor earns ₱1 500 per hour. If she
has 3 hours daily teaching for 6 days, how much does she earn?
2. Jesse wants to buy a toy car that costs ₱1 250. She has saved ₱650.
How long will it take him to save the remaining amount if she saves
₱50 a week?
3. A man working 8 hours a day can finish a job in 12 days. How many
hours a day must he work to finish the same job in 10 days?
4. For every ₱25 that Kendra receives; she saves ₱ 5.50. How much does
she save in 10 weeks if her mother gives her ₱200 a week?

29. 1. Mrs. Cruz, a part time college instructor earns ₱1 500 per hour. If she has 3 hours daily teaching
for 6 days, how much does she earn?
2. Jesse wants to buy a toy car that costs ₱1 250. She has saved ₱650. How long will it take him
to save the remaining amount if she saves ₱50 a week?
Daily she would earn 3 x 1500 = 4500.
For 6 days she would earn 6 x 4500 = 27 000.
₱ 27 000
Since she has already 650, we will subtract it from 1250.
1250- 650 = 600.
Then we divide 600 by 50, 600÷ 50 = 12
It will take her 12 weeks.

30. 3. A man working 8 hours a day can finish a job in 12 days. How many hours a day
must he work to finish the same job in 10 days?
4. For every ₱25 that Kendra receives; she saves ₱ 5.50. How much does she save in
10 weeks if her mother gives her ₱200 a week?
For 10 weeks she will have 200 x 10 = 2000.
Divide 2000 by 25 , 2000÷ 25 = 80
Then multiply 80 by 5.50 = 440.
We must multiply 8 by 12 to get the amount of work done.
8 x 12 = 96 . Then divide 96 by 10 , 96 ÷ 10 = 9𝑎𝑛𝑑 3/5
She saves ₱ 440.
He must work for 9 and 3/5 hours a day.

31. 5. Mr. Santos needs to fence his 16 meters long and 12 meters wide residential lot.
He wants it enclosed by a hog wire fence with posts 4 meters apart.
a. How many posts will Mr. Santos need?
b. If each posts costs ₱268, how much would all the posts cost?
6. Ms. Adora has 12 teams in her class. Each team needs 45 sheets of colored
paper. If each package of colored paper contains 200 sheets. How many
packages does Ms. Adora have to buy?
7. In this true multiplication sentence, 35 x 4_ = 1_10, the same digit has been
replaced with a blank in two places. What is the digit?
8. Rolly had 4 times as much money as Rachel. After Rolly had given ₱210 to
Rachel, they each had an equal amount of money. How much did
each of them have at first?

32. 5. Mr. Santos needs to fence his 16 meters long and 12 meters wide residential lot.
He wants it enclosed by a hog wire fence with posts 4 meters apart.
a. How many posts will Mr. Santos need?
b. If each posts costs ₱268, how much would all the posts cost
16 + 12 = 28 x 2 = 56 a) 56 ÷ 4 = 14
b) 14 x ₱268 = ₱3 752
6. Ms. Adora has 12 teams in her class. Each team needs 45 sheets of colored
paper. If each package of colored paper contains 200 sheets. How many
packages does Ms. Adora have to buy?
Get first 12 x 45 = 540 , then divide 540 by 200 , 540 ÷ 200 = 2 𝑎𝑛𝑑
7
10
.
Ms.Adora must buy 3 packages.

33. 7. In this true multiplication sentence, 35 x 4_ = 1_10, the same digit has been
replaced with a blank in two places. What is the digit?
8. Rolly had 4 times as much money as Rachel. After Rolly had given ₱210 to
Rachel, they each had an equal amount of money. How much did each of them have
at first?
35 x 4_ = 1_10
Hint: the number must be even, since the answer ends with 0.
35 x 46 = 1610
Rolly has ₱ 560
Rachel has ₱140