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MULTIPLYING 2-
TO 4 DIGIT
NUMBERS BY 1-TO
2-DIGIT NUMBERS
WITHOUT
REGROUPING
Basic multiplication facts
8
x 1
3
x 7
4
x 0
9
x 2
5
x 6
10
x 4
MESSAGE IN BOXES
MULTIPLY. WRITE THE LETTER THAT IS
NEXT TO EACH ANSWER IN THE CORRECT BOX
BELOW. READ THE SECRET MESSAGE.
9 4 3 9 5
x 2 x 9 x 4 x 7 x 2
9 5 9 9 6
x 8 x 9 x 9 x 3 x 9
A E H O R
WUTS Y
27 63 27
W O W
45 12 18 45
T H A T
72 81 10 36
S U R E
27 18 72
W A S
36 18 72 54
E A S Y
Andres Bonifacio Elementary
School received 12 boxes of
toy from the governor of the
province. Each box had 24
assorted toy. How many toys
were there in all?
Understand the problem
• What is asked in the problem? Number of toys in
all.
• What are given? 12 boxes of toys, 24 assorted toys
• What process will you use? Multiplication.
Plan
12 x 24 = N 24 = 20 + 4
x 12 = 10 + 2
 CARRY OUT THE PLAN
Step 1:
20 + 4
x 10 + 2
40 + 8
2 x 4 = 8
2 x 20 = 40
Step 2:
20 + 4
x 10 + 2
200 + 40
10 x 4 = 40
10 x 20 = 200
Step 3:
24 = 20 + 4
x 12 = 10 + 2
40 + 8
+ 200 + 40
240 + 48 =
288 toy planes
ADD THE TWO PARTIAL PRODUCTS
24
X 12
48 PARTIAL PRODUCTS
+ 240 PRODUCT
288
Multiply by ones
24
x 12
48
240
Multiply tens
24 24
x 2 x10
48 240
1) 22
x 11
3) 322
x 33
2) 322
x 3
4)1 243
x 12
GROUP ACTIVITY ( 4 GROUPS )
Group I =
Group II =
Group III =
Group IV =
124
x 2
221
x 4
213
x 13
212
x 3
6321
x 12
32 412
x 12
4 213
x 12
2 134
x 12
21
x 21
13
x 12
14
x 2
23
x 13
Remember:
In multiplying 2- to 4- digit numbers by 1-
to 2- digit numbers without regrouping, start
with the one, then the tens, then the
hundreds, and lastly the thousands.
Pick a number from box X. Multiply it by a
number from box Y. Write the numbers for X
and Y that are equivalent to the given answers
below.
42 22 123
23 31 431
21 12 32
24 33 20
Box X Box Y
1)483
X=
Y=
4)504
X=
Y=
2) 8620
X=
Y=
5) 528
X=
Y=
3) 3936
X=
Y=
6) 1023
X=
Y=
EXERCISE:
Find the missing digits
1) 2 3 4
2 2
+ 4 8
68
5 4 8
4) 3 2
x 1 2
2
3 8 4
5) 1 2 3
x 1 3
6 9
12
1 9 9
2) 4 3 2 1
x 2 3
1 2 9
8 42
9 9 8 3
3) 2 4
x 1 1
2
6 4
ASSIGNMENT:
Solve the following problems:
1. Ellen has 23 pages of stamps. Each page has
112 pieces. How many stamps does she has in
all?
2. Mang Mario needs 4 poles for his vegetable
garden. Each pole should be 122 centimeters
long. What will be the total length of 4 poles.
3. The bookstore received a shipment of 13 boxes
of books. Each box contained 112 books. How
many books were in the shipment?
4) Puring and Linda are going home after
visiting their grandmother. The trip takes 3
hour. If the bus travels 122 kilometers an
hour, how far away is their house?
5) Edith bought 231 pieces of linen paper at
P3 each. How much did she spend for the
linen paper?

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5. multiplying 2 to 4 digit numbers by 1-to 2-digit

  • 1. MULTIPLYING 2- TO 4 DIGIT NUMBERS BY 1-TO 2-DIGIT NUMBERS WITHOUT REGROUPING
  • 2. Basic multiplication facts 8 x 1 3 x 7 4 x 0 9 x 2 5 x 6 10 x 4
  • 3. MESSAGE IN BOXES MULTIPLY. WRITE THE LETTER THAT IS NEXT TO EACH ANSWER IN THE CORRECT BOX BELOW. READ THE SECRET MESSAGE. 9 4 3 9 5 x 2 x 9 x 4 x 7 x 2 9 5 9 9 6 x 8 x 9 x 9 x 3 x 9 A E H O R WUTS Y
  • 4. 27 63 27 W O W 45 12 18 45 T H A T 72 81 10 36 S U R E 27 18 72 W A S 36 18 72 54 E A S Y
  • 5. Andres Bonifacio Elementary School received 12 boxes of toy from the governor of the province. Each box had 24 assorted toy. How many toys were there in all?
  • 6. Understand the problem • What is asked in the problem? Number of toys in all. • What are given? 12 boxes of toys, 24 assorted toys • What process will you use? Multiplication. Plan 12 x 24 = N 24 = 20 + 4 x 12 = 10 + 2
  • 7.  CARRY OUT THE PLAN Step 1: 20 + 4 x 10 + 2 40 + 8 2 x 4 = 8 2 x 20 = 40 Step 2: 20 + 4 x 10 + 2 200 + 40 10 x 4 = 40 10 x 20 = 200 Step 3: 24 = 20 + 4 x 12 = 10 + 2 40 + 8 + 200 + 40 240 + 48 = 288 toy planes
  • 8. ADD THE TWO PARTIAL PRODUCTS 24 X 12 48 PARTIAL PRODUCTS + 240 PRODUCT 288 Multiply by ones 24 x 12 48 240 Multiply tens 24 24 x 2 x10 48 240
  • 9. 1) 22 x 11 3) 322 x 33 2) 322 x 3 4)1 243 x 12
  • 10. GROUP ACTIVITY ( 4 GROUPS ) Group I = Group II = Group III = Group IV = 124 x 2 221 x 4 213 x 13 212 x 3 6321 x 12 32 412 x 12 4 213 x 12 2 134 x 12 21 x 21 13 x 12 14 x 2 23 x 13
  • 11. Remember: In multiplying 2- to 4- digit numbers by 1- to 2- digit numbers without regrouping, start with the one, then the tens, then the hundreds, and lastly the thousands.
  • 12. Pick a number from box X. Multiply it by a number from box Y. Write the numbers for X and Y that are equivalent to the given answers below. 42 22 123 23 31 431 21 12 32 24 33 20 Box X Box Y 1)483 X= Y= 4)504 X= Y= 2) 8620 X= Y= 5) 528 X= Y= 3) 3936 X= Y= 6) 1023 X= Y=
  • 13. EXERCISE: Find the missing digits 1) 2 3 4 2 2 + 4 8 68 5 4 8 4) 3 2 x 1 2 2 3 8 4 5) 1 2 3 x 1 3 6 9 12 1 9 9 2) 4 3 2 1 x 2 3 1 2 9 8 42 9 9 8 3 3) 2 4 x 1 1 2 6 4
  • 14. ASSIGNMENT: Solve the following problems: 1. Ellen has 23 pages of stamps. Each page has 112 pieces. How many stamps does she has in all? 2. Mang Mario needs 4 poles for his vegetable garden. Each pole should be 122 centimeters long. What will be the total length of 4 poles. 3. The bookstore received a shipment of 13 boxes of books. Each box contained 112 books. How many books were in the shipment?
  • 15. 4) Puring and Linda are going home after visiting their grandmother. The trip takes 3 hour. If the bus travels 122 kilometers an hour, how far away is their house? 5) Edith bought 231 pieces of linen paper at P3 each. How much did she spend for the linen paper?