This document provides a lesson on multiplying 3-digit numbers by 2-digit numbers. It begins with a review of multiplication and then demonstrates multiplying without and with regrouping using short methods and lattice methods. Examples and exercises are provided for students to practice. Key skills learned are multiplying 3-digit and 2-digit numbers in various ways including short and lattice methods.

1. Worktext in Mathematics
Author: GEMMA U. JOAQUIN
Mathematics 4
First Grading Period – Module 6
Multiplies numbers up to 3-digit numbers by to 2-digit numbers without or with
regrouping.
4

2. Mathematics 4
First Grading Period – Module 6
Lesson
6
Multiplies numbers up to 3-digit numbers by 2-digit
numbers without or with regrouping.
Prepared by: Gemma U. Joaquin
4

3. Mathematics 4
First Grading Period – Module 6
Lesson
6
 Multiplying numbers up to 3-digit numbers by 2-
digit numbers without regroupings
 Multiplying numbers up to 3-digit numbers by
2-digit numbers with regroupings
Prepared by: Gemma U. Joaquin
4

4. Review
1.) What is 25 x 3?
2.) Product of 10 and 9
3.) Multiply 9 and 8
4.) 7 multiplied by 8 is ____
5.) 30 x 5 is equal to ____

5. Review
Kamille is expecting a gift from her mother.
Solve the multiplication problem and write the
correct letter in each box to reveal the gift.
321 x 2
W
222 x 3
N
33 X 3K
122 x 3
O
14 x 2
S
99 642 366
666 28

6.  What do you see in the
picture?
 Do you have trees in your
farm or backyard?
 Is it good to plant trees?
Why?

7.  Read and understand the problem
Mang Leo and his co-workers can
deliver 231 coconuts in a day. How
many coconut can deliver in 23
days?

8. Presentation!
Read and analyze the problem.
Mang Leo and his co-workers can deliver 231
coconuts in a day. How many coconut can
deliver in 23 days?
 How many coconut can Mang Leo and his co-workers deliver in a
day?
 What is asked for in the problem?
 How can you solve the problem?
 What operation you are going to use?
 What is number sentence?
Answer the questions below:

9. Therefore: there are 5, 313 coconuts Mang Leo delivered in 23 days.
There are two ways to be able to solve the problem. Study the
short method below.

10. Therefore: there are 5, 313 coconuts Mang Leo delivered in 23 days.
Look at the solutions below. It is another way of solving the problem using
short method. “The partial product method”

11. Another way of solving the product is using the lattice method.
Study the steps below.

12. Therefore: there are 5, 313 coconuts Mang Leo delivered in 23 days.

13. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Let’s Explore and Discover!
The Department of Environment and
Natural Resources (DENR) in Cauayan City
distributed mango seedlings to all barangays.
If they distributed 169 seedlings to 35
barangays, how many seedling did they
distribute?
1. How many mango seedlings did the DENR give to
each barangay?
2. How many barangays will be given?
3. What will you do to solve the problem?
Read and Understand the problem.

14. To be able to solve the problem we need to multiply
169 by 35. The number sentence is 169 x 35 = N.
Regroup the partial and final product if necessary.
T Th Th H T O
1 6 9
X 3 5
8 4 5
5 9 1 5
Final Product
1
43
5 0 7
22
Kids study the solutions below please note how we regroup the
partial product and the final product!

15. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Using Lattice method. Let us find the answer!
1 6 9
3
5
To be able to solve the problem we need to multiply
169 by 35. The number sentence is 169 X 35 = N
Step 2. Multiply each digit above by each digit on the side. Write the
digits’ product as shown:
Step 1. Using lattice method. Draw 3 by 2 rectangle and position
the factors as shown below:
54
72
035
813

16. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Using Lattice method. Let us find the answer!
The answer, read counter clockwise, is 5 , 915
Step 3. Add down the numbers along the diagonals. Regroup if
necessary:
1 6 9
3
55
4
72
035
813
519
5
11

17. Exercise No.1
Find the product.
Use short method for no. 1 to 3 and lattice method
for 3 and 4.

18. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Let’s Practice what you have learned!
Solutions for
Exercises No. 1
Find the product.
Use short method for no. 1 to 3 and lattice method
for 3 and 4.
1) 374 2)456 3) 763 4) 845 5) 345
x 34 x52 x46 x 18 x 62
1496 912 4578
1122 2280 3052
12716 23712 35098

19. No. 4.
The answer, read counter clockwise, is 15 210
8 4 5
1
8
548
0
3
4
012
6 4
2
11
5
1
1
Answer in Exercise
No. 1
No. 5
The answer, read counter clockwise, is 21,390
3 4 5
6
2
048
06
093
1
8
1
1
1
2 321

20. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Match each key to the correct door.
Let’s Practice what you have learned!
972
X 2322, 3561.)
40, 3522.)
372
X 45
4,8763.)
776
X 52
2,9824.)
16, 7405.)
212
X 23
142
X 21
A
B
C
D
E

21. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Match each key to the correct door.
Let’s Practice what you have learned!
972
X 2322, 3561.)
40, 3522.)
372
X 45
4,8763.)
776
X 52
2,9824.)
16, 7405.)
212
X 23
142
X 21
A
B
C
D
E

22. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
 We find the product in many ways.
 by short method
 using lattice method
Today, you learned
How to multiply 3-digit numbers by
2-digit numbers.

23. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Let’s Keep Moving!
Match each cup to the correct saucer.
Exercise No. 2
1.)
2.)
3.)
A.)
B.)
C.)
D.)
E.)
4.)
5.)
11,472
706
X 18
956
X 12
743
X 31
830
X 35
23,033
125,952
29,050
12,708
3072
X 41

24. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Let’s Keep Moving!
Match each cup to the correct saucer.
ANSWERS For
Exercise No. 2
1.)
2.)
3.)
A.)
B.)
C.)
D.)
E.)
4.)
5.)
11,472
706
X 18
956
X 12
743
X 31
830
X 35
23,033
125,952
29,050
12,708
3072
X 41

25. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Let’s try to answer the next activity by applying the new
skills you have learned today ! EXERCISE No. 3
Read and Solve the problem below:
1.) The recycling center collects 343 aluminum cans in
one day. How many cans will be collected in two
weeks
2.) The transportation fare from Mendiola to Lianas is
P25. How much will the driver collect for 135
passengers?
3.)ABS-CBN Foundation distributed 985 boxes of
noodles. How many packs of noodles if each box
contained 55 noodles were distributed in all?

26. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Check your work. Look at the answer below:
EXERCISE No. 3
Read and Solve the problem below:
1.) The recycling center collects 343 aluminum cans in one day. How many cans
will be collected in two weeks? 343 x 2= 686 cans
2.) The transportation fare from Mendiola to Lianas is P25. How much will the
driver collect for 135 passengers? P3, 375
3.)ABS-CBN Foundation distributed 985 boxes of noodles. How many packs of
noodles if each box contained 55 noodles were distributed in all?
54,175 noodles

27. Time to find out how
you learned the skills!
Directions : Perform the indicated operation.
1.) The multiplicand is 945 and the multiplier is 68. What is
the product?
2.) 625 multiply by 61.
3.) The product of 725 and 39.
4.) By what number must I multiply 24 to
get 5,208?
5.) What is 733 time 4 thousand?

28. Check your work! Here
are the answers
Directions : Perform the indicated operation.
1.) The multiplicand is 945 and the multiplier is 68. What is the
product?Ans. 64,260
2.) 625 multiply by 61. Ans. 38, 125
3.) The product of 725 and 39. . Ans. 28, 275
4.) By what number must I multiply 24 to get 5,208?
Ans. 217
5.) What is 733 time 4 thousand?
Ans. 2,932

29. 1.)How many 10 000 do we have?___________
2.) How many hundreds do we have? ___________
3.) How many tens? How many ones?___________
Home Activity!
More Practice!

30. Answer!
1.) P285 x45= P12, 825
2.)P97 x 34 = P3,298
3.)115 x P89 = P10, 235

31. Congratulations!
You did it!
You can go
now to the
next level!