AP 3rd Class Maths Textbook Solutions – 4. Multiplication (2026-27)

4 Multiplication

Page 96

Fruit Shop - Observe the picture and answer the following questions

• 1. How many apples are there in the shop?
  How many rows of apples are there? = 2 rows
  How many apples are there in each row? = 8 apples
  Total Number of apples = 2 × 8 = 16 apples
  Total Number of apples = 16
• 2. The price of apples is how many times to the price of mangoes?
  Price of 1 kg Apples = ₹120
  Price of 1 kg Mangoes = ₹60
  120 ÷ 60 = 2 times
  Answer: 2 times
• 3. If you want to buy two dozens of bananas in the shop, how much money you need to pay to the fruit seller?
  Price of 1 dozen bananas = ₹25
  Cost of 2 dozens = 2 × 25 = ₹50
• 4. To buy 3 kgs of mangoes and 1 kg of apples, how much money do you need to pay to the shopkeeper?
  Cost of 3 kgs of mangoes = 3 × 60 = ₹180
  Cost of 1 kg of apples = 1 × 120 = ₹120
  Total money to pay = 180 + 120 = ₹300

Page 98

Math Game - Identify the number cards inside each of the envelope

Envelope Number / Value	Ans (Number Cards)	Multiplication Check
Envelope 1 (Value: 7)	1 and 7	1 × 7 = 7
Envelope 2 (Value: 18)	2 and 9 (or 3 and 6)	2 × 9 = 18
Envelope 3 (Value: 32)	4 and 8	4 × 8 = 32
Envelope 4 (Value: 20)	2 and 10 (or 4 and 5)	2 × 10 = 20
Envelope 5 (Value: 45)	5 and 9	5 × 9 = 45

Page 100

Do these

• 1. Do the following.
  a) T O
      1 4
    ×   3
  42
• b) T O
      1 2
    ×   5
  60
• c) T O
      1 3
    ×   4
  52

In 21 × 2 = 42

• Which one is multiplicand?
  Answer = 21
• Which one is multiplier?
  Answer = 2
• Which one is product?
  Answer = 42

Page 102

Word Problems

• 2. Karthik have 4 packets. There are 24 crackers in each packet. How many crackers will be in 4 such packets?
  Crackers in each packet = 24
  Number of packets = × 4
  Total number of crackers = 96
• 3. There are 12 bananas in a bag. Find the number of bananas in 5 such bags.
  Number of bananas in each bag = 12
  Number of bags = × 5
  Total number of bananas = 60
• Example: There are 32 coconuts in a bag. How many coconuts are there in 4 such bags?
  Number of coconuts in a bag = 32
  Number of bags = 4
  Total number of coconuts in all bags = 32 × 4 = (30 + 2) × 4 = (30 × 4) + (2 × 4) = 120 + 8 = 128 coconuts

Page 104

Do these

• 1. Do the following.
  a) 86 × 2 = 172
  b) 64 × 3 = 192
  c) 45 × 5 = 225
  d) 58 × 4 = 232
• 2. There are 50 books in a box. Find the total number of books in such 4 boxes?
  Number of books in each box = 50
  Number of boxes = × 4
  Total number of books = 200
• 3. Cost of a pen is ₹4. What is the cost of 32 pens?
  Cost of 1 pen = ₹4
  Cost of 32 pens = 32 × 4 = ₹128

Math Lab Activity: Complete the 5 table using sticks

• 1 × 5 = 5
• 2 × 5 = 10
• 3 × 5 = 15
• 4 × 5 = 20
• 5 × 5 = 25
• 6 × 5 = 30
• 7 × 5 = 35
• 8 × 5 = 40
• 9 × 5 = 45
• 10 × 5 = 50

Page 106

Formation of Tables

• 3 × 6 read as 3 times 6 i.e. 6 × 3 = 18
  We can say that 3 × 6 = 6 × 3 = 18

Add table 6 and table 3 for making table 9

Table 6	6	12	18	24	30	36	42	48	54	60
Table 3	3	6	9	12	15	18	21	24	27	30
Table 9	9	18	27	36	45	54	63	72	81	90

Page 108

Observe the pattern

• 6 × 9 = 54   (5 + 4 = 9)
• 7 × 9 = 63   (6 + 3 = 9)
• 8 × 9 = 72   (7 + 2 = 9)
• 9 × 9 = 81   (8 + 1 = 9)
• 10 × 9 = 90   (9 + 0 = 9)

Do these: Table Formation

• 1. Make the table of 7 by using Table 5 and Table 2.
  Table 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  Table 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
  Table 7 (5+2): 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
• 2. Make table 9 by using Table 7 and Table 2.
  Table 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  Table 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
  Table 9 (7+2): 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
• 3. Make the table of 8 by taking any two tables of your choice. (Using Table 5 and Table 3)
  Table 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  Table 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
  Table 8 (5+3): 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Multiply by 10's: A packet contains 10 pencils

• (a) How many pencils do 2 packets have?
  2 × 10 = 20
• (b) How many pencils do 3 packets have?
  3 × 10 = 30
• (c) How many pencils do 4 packets have?
  4 × 10 = 40
• (d) How many pencils do 8 packets have?
  8 × 10 = 80
• (e) How many pencils do 10 packets have?
  10 × 10 = 100
• (f) How many pencils do 14 packets have?
  14 × 10 = 140
• (g) How many pencils do 26 packets have?
  26 × 10 = 260
• (h) How many pencils do 57 packets have?
  57 × 10 = 570

Page 110

Do these: Multiply by 10

• 1. 34 × 10 = 340   |   10 × 34 = 340
• 2. 80 × 10 = 800   |   10 × 80 = 800
• 3. 48 × 10 = 480   |   10 × 48 = 480
• 4. 85 × 10 = 850   |   10 × 85 = 850
• 5. 10 × 90 = 900   |   90 × 10 = 900

Observe the pattern and fill in the blanks

Column 1 (× 20)	Column 2 (× 30)	Column 3 (× 40)
6 × 20 = 120	6 × 30 = 180	6 × 40 = 240
7 × 20 = 140	7 × 30 = 210	7 × 40 = 280
8 × 20 = 160	8 × 30 = 240	8 × 40 = 320
9 × 20 = 180	9 × 30 = 270	9 × 40 = 360
10 × 20 = 200	10 × 30 = 300	10 × 40 = 400
11 × 20 = 220	11 × 30 = 330	11 × 40 = 440
12 × 20 = 240	12 × 30 = 360	12 × 40 = 480

Page 112

EXERCISE-1

1. Write multiplicand, multiplier and product in the following multiplications.

• a) 72 × 4 = 288
  Multiplicand = 72 ; Multiplier = 4 ; Product = 288
• b) 5 × 100 = 500
  Multiplicand = 5 ; Multiplier = 100 ; Product = 500

2. Find the product.

• a) 75 × 2 = 150
• b) 95 × 4 = 380
• c) 70 × 8 = 560
• d) 93 × 9 = 837
• e) 64 × 8 = 512
• f) 96 × 10 = 960

3. Prepare the tables.

• a) Prepare the table for 5 using the tables 2 and 3.
  Table 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
  Table 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
  Table 5 (2+3): 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
• b) Prepare the table for 10 using the table 6 and 4.
  Table 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  Table 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  Table 10 (6+4): 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
• c) Prepare the table for 9 using the table 5 and 4.
  Table 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  Table 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  Table 9 (5+4): 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

4. Solve the following.

• a) The price of one pencil is ₹6. What is the cost of 72 pencils ?
  Cost of 1 pencil = ₹6
  Cost of 72 pencils = 72 × 6 = ₹432
• b) In an orchard, there are 10 rows of mango trees and each row contains 25 trees. How many mango trees are there in total?
  Number of rows = 10
  Trees in each row = 25
  Total mango trees = 10 × 25 = 250 trees
• 5. Rajesh bought 5 bags of oranges at a store. There were 9 oranges in each bag. How many oranges did Rajesh have now? Which set of Mathematical sentence could be used to solve this problem?
  a) 2 × 9 = 18 (or) 9 + 9 = 18

  b) 5 × 5 = 25 (or) 5 + 5 + 5 + 5 + 5 = 25

  c) 5 × 9 = 45 (or) 9 + 9 + 9 + 9 + 9 = 45

  d) 9 × 9 = 81 (or) 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81
  Answer: c) 5 × 9 = 45 (or) 9 + 9 + 9 + 9 + 9 = 45

Page 116

Example

• 72 people can sit in one compartment of a train. How many people can sit in a train, with 23 such compartments?
  Capacity of the compartment to sit = 72
  Number of compartments = × 23
  Step 1 (72 × 3) = 216
  Step 2 (72 × 20) = 1440
  Total number of people = 1656

Page 118

Do these

• 1. Do the following.
  a) Th H T O
          7 1
       × 2 4
  71 × 24 = 1704
• b) Th H T O
          4 5
       × 3 8
  45 × 38 = 1710
• c) Th H T O
          9 5
       × 4 2
  95 × 42 = 3990
• 2. 48 people can travel in a bus. How many people can travel in 26 such buses?
  Number of people in 1 bus = 48
  Number of buses = 26
  Total people = 48 × 26 = 1248 people
• 3. In a library there are 48 cupboards. In each cupboard, there are 63 books. How many books are there in the library?
  Number of cupboards = 48
  Books in each cupboard = 63
  Total books = 48 × 63 = 3024 books

Page 120

Do these

• 1. Do the following.
  a) H T O
      1 2 2
    ×     4
  488
• b) H T O
      1 4 0
    ×     2
  280
• c) H T O
      2 2 1
    ×     3
  663
• d) H T O
      1 1 1
    ×     9
  999
• 2. A book contains 130 pages. Total how many pages are there in 3 such books?
  Pages in 1 book = 130
  Pages in 3 books = 130 × 3 = 390 pages
• 3. A bag costs ₹300. How much money will be paid to buy 2 bags?
  Cost of 1 bag = ₹300
  Cost of 2 bags = 300 × 2 = ₹600
• 4. There are 2 boxes and in each box there are 142 balls. How many balls are there in total?
  Number of boxes = 2
  Balls in each box = 142
  Total balls = 142 × 2 = 284 balls

Page 122

Just estimate! Can you estimate closest to the products?

• 1. There are 26 mangoes in each basket. How many mangoes will be there in 19 such baskets? (Options: ₹460, 480, 500)
  Estimated closest value: 500 (26 × 19 ≈ 25 × 20 = 500; Exact = 494)
• 2. The cost of each movie ticket is ₹25. If 28 students of a class go to watch the movie, how much money they have to pay for the tickets? (Options: ₹800, ₹750, ₹900)
  Estimated closest value: ₹750 (25 × 28 ≈ 25 × 30 = 750; Exact = ₹700)
• 3. Siva wants to plant some plants in his field. He wants to plant in 26 rows. If each row contains 27 plants, how many plants should he buy? (Options: 600, 780, 900)
  Estimated closest value: 780 (26 × 27 ≈ 26 × 30 = 780; Exact = 702)
• 4. The cost of a folding chair is ₹175. What is the cost of 5 such folding chairs? (Options: ₹500, ₹1000, ₹1500)
  Estimated closest value: ₹1000 (175 × 5 ≈ 200 × 5 = 1000; Exact = ₹875)

Page 124

EXERCISE-2

1. Multiply.

• a) H T O
          1 2
       ×   9
  108
• b) H T O
          4 2
       × 1 9
  798
• c) H T O
      4 1 4
     ×     2
  828

2. Fill in the blanks.

• a) 67 × 5 = 335
• b) 93 × 4 = 372
• c) 123 × 3 = 369

Word Problems

• 3. There are 36 beads in a necklace. How many beads are there in 13 necklaces?
  Beads in 1 necklace = 36
  Total necklaces = 13
  Total beads = 36 × 13 = 468 beads
• 4. If there are 48 bottles in one carton, how many bottles are there in 16 cartons?
  Bottles in 1 carton = 48
  Total cartons = 16
  Total bottles = 48 × 16 = 768 bottles
• 5. There are 54 chikkis in one plate. If, there are 44 such plates, how many chikkis are there?
  Chikkis in 1 plate = 54
  Total plates = 44
  Total chikkis = 54 × 44 = 2376 chikkis
• 6. Cost of a dictionary is ₹120. How much money has to pay for 4 dictionaries?
  Cost of 1 dictionary = ₹120
  Cost of 4 dictionaries = 120 × 4 = ₹480
• 7. 5 students of a class collected ₹110 each for the Prime Minister's relief fund. How much money did they collect altogether?
  Number of students = 5
  Amount from each student = ₹110
  Total money collected = 110 × 5 = ₹550
• 8. Observe the picture below. What is the missing number in the multiplication equation represented in the picture? [ ] × 6 = 30
  a) 5

  b) 6

  c) 24

  d) 36
  Answer: a) 5 (5 × 6 = 30)

Page 126

Improve your Learning

• 1. 89 × [ ] = 89. What is the missing number in the blank?
  a) 0

  b) 1

  c) 89

  d) 90
  Answer: b) 1
• 2. Rama solved a math problem. 5 [ ] 5 = 25. Which mathematical symbol should be placed in the blank to make the statement correct?
  a) +

  b) -

  c) ×

  d) ÷
  Answer: c) ×
• 3. Observe the given pattern: 16, 32, 64, what should be done to find the next number?
  a) Add 2 to 64

  b) Multiply 64 with 2

  c) Divide 64 with 2

  d) Divide 64 with 8
  Answer: b) Multiply 64 with 2
• 4. Observe the apples on the plates given below. If 4 apples are in the plate, how many apples will be in 4 plates. The multiplication form:
  a) 4 + 4 = 16

  b) 4 - 4 = 0

  c) 4 × 4 = 16

  d) 4 ÷ 4 = 16
  Answer: c) 4 × 4 = 16
• 5. Krishna got the answer 19 × 5 = 85. Ravi got the answer 19 × 5 = 95. Whom do you agree with? Do the solution and decide.
  19 × 5 = (10 + 9) × 5 = 50 + 45 = 95
  Answer: I agree with Ravi.
• 6. Make a word problem using 24 × 3. Solve it. (Note: 24 trees in a row, 3 rows)
  Word Problem: In an orchard, there are 3 rows of trees. If each row has 24 trees, how many trees are there in total?
  Solution: Total trees = 24 × 3 = 72 trees.
• 7. Ranjani has 27 flowers and needs to put 3 flowers in each vase. How many vases does she need?
  Total flowers = 27
  Flowers in each vase = 3
  Number of vases needed = 27 ÷ 3 = 9 vases (Since 9 × 3 = 27)
• 8. Sneha put exactly 15 balls in each of the basket shown below. Find out the total number of balls she put in all the baskets?
  Balls in each basket = 15
  Number of baskets = 4
  Total number of balls = 15 × 4 = 60 balls