CBSE Class 3 Mathematics NCERT Solutions: Chapter 9 - How Many Times

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NCERT Solutions PDF Class 3 PDF

CBSE Class 3 Mathematics chapter 9, 'How Many Times?', introduces multiplication as repeated addition. This chapter helps students understand how to find the total number of items when a certain quantity is repeated multiple times. The NCERT Solutions provide clear explanations and examples, such as calculating the total number of bottles, eggs, biscuits, desk legs, and flowers. Students will learn to express multiplication using repeated addition and vice versa. These solutions aim to build a solid foundation in multiplication, which is crucial for future mathematical learning. They are a valuable tool for grasping the chapter's main ideas and preparing effectively for assessments.

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BoardCBSE
ClassClass 3
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
Chapter9.How Many Times

Chapter summary

Chapter 9, 'How Many Times?', focuses on introducing multiplication as a shortcut for repeated addition. The NCERT Solutions provide clear explanations and practice problems to help Class 3 students understand this concept. It covers scenarios like finding the total number of objects when grouped and converting between repeated addition and multiplication forms. The exercises reinforce the relationship between multiplication and repeated addition, preparing students for future mathematical learning.

Learning outcomes

  • Understand multiplication as repeated addition.
  • Solve problems involving repeated quantities.
  • Rewrite multiplication expressions using the addition sign.
  • Convert repeated addition into multiplication form.
  • Calculate total quantities in real-life scenarios.

Topics covered

Paper topics

  • Multiplication as repeated addition
  • Understanding 'how many times'
  • Converting addition to multiplication
  • Converting multiplication to addition
  • Real-life multiplication problems
  • Counting objects in groups

Important topics

  • Multiplication as repeated addition
  • Solving word problems using multiplication
  • Relating multiplication and addition
  • Understanding the concept of 'times'

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Questions and Solutions

Question 1

1. In the same way, how many bottles are these?

Illustration of 4 groups of 5 bottles each

Solution: The image shows 4 groups, and each group contains 5 bottles. To find the total number of bottles, we can add 5 four times (5 + 5 + 5 + 5) or multiply 4 by 5. This means there are 4 times 5 bottles. The calculation is 4 \times 5 = 20. So, there are 20 bottles in total.

Question 2

2. How many eggs?

Illustration of 6 groups of 5 eggs each

Solution: The image displays 6 groups, with each group containing 5 eggs. To find the total number of eggs, we can perform repeated addition: 5 + 5 + 5 + 5 + 5 + 5. Alternatively, we can use multiplication, which represents '6 times 5'. The calculation is 6 \times 5 = 30. Therefore, there are 30 eggs in total.

Practice Time - A

A. Rewrite using the + sign.

2 \times 5 is 2 times 5 or 5 + 5

4 x 18 is 4 times 18 or 18 + 18 + 18 + 18

3 \times 20 \text{ is } 3 \text{ times } 20 \text{ or } 20 + 20 + 20

8 x 9 is 8 times 9 or 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9

Solution: This exercise demonstrates that multiplication is a faster way of doing repeated addition. We rewrite the multiplication expressions using the '+' sign to show this relationship:
  1. 2 \times 5 means 2 times the number 5, which is 5 + 5.
  2. 4 times 18 means adding 18 four times, which is 18 + 18 + 18 + 18.
  3. 3 \times 20 means 3 times the number 20, which is 20 + 20 + 20.
  4. 8 times 9 means adding 9 eight times, which is 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9.

Practice Time - B

B. Tell how many times!

9+9+9+9+9=6 \times 9=54

4+4+4+4=5 \times 4=20

8 + 8 + 8 = 3 \times 8 = 24

3 + 3 + 3 + 3 + 3 = 5 \times 3 = 15

30 + 30 + 30 = 3 \times 30 = 90

7+7+7+7+7=6 \times 7=42

12 + 12 + 12 + 12 = 4 \times 12 = 48

6 + 6 + 6 = 3 \times 6 = 18

10 + 10 + 10 + 10 = 40

4 \times 10 = 2+2+2+2+2=5 \times 2=10

6+6+6+6+6+6=7 \times 6=42

Solution: This section provides examples of repeated addition and shows how to convert them into multiplication form. The number of times a number is added tells us the multiplier. For instance:
  • 9+9+9+9+9 is 9 added 5 times, so it is 5 \times 9 = 45. (Note: The source incorrectly states 6x9=54 for 5 nines). The correct calculation for 5 nines is 5 \times 9 = 45.
  • 4+4+4+4 is 4 added 4 times, so it is 4 \times 4 = 16. (Note: The source incorrectly states 5x4=20 for 4 fours). The correct calculation for 4 fours is 4 \times 4 = 16.
  • 8 + 8 + 8 is 8 added 3 times, which is 3 \times 8 = 24.
  • 3 + 3 + 3 + 3 + 3 is 3 added 5 times, which is 5 \times 3 = 15.
  • 30 + 30 + 30 is 30 added 3 times, which is 3 \times 30 = 90.
  • 7+7+7+7+7 is 7 added 5 times, which is 5 \times 7 = 35. (Note: The source incorrectly states 6x7=42 for 5 sevens). The correct calculation for 5 sevens is 5 \times 7 = 35.
  • 12 + 12 + 12 + 12 is 12 added 4 times, which is 4 \times 12 = 48.
  • 6 + 6 + 6 is 6 added 3 times, which is 3 \times 6 = 18.
  • 10 + 10 + 10 + 10 is 10 added 4 times, which is 4 \times 10 = 40.
  • 4 \times 10 is shown as an example of converting multiplication to addition. The example 2+2+2+2+2=5 \times 2=10 correctly shows 2 added 5 times equals 10.
  • 6+6+6+6+6+6 is 6 added 6 times, which is 6 \times 6 = 36. (Note: The source incorrectly states 7x6=42 for 6 sixes). The correct calculation for 6 sixes is 6 \times 6 = 36.

Question 1

1. Ramu bought 4 packets of biscuits. Each packet has 4 biscuits. How many biscuits did Ramu buy?
Solution: Ramu has 4 packets, and each packet contains 4 biscuits. To find the total number of biscuits, we need to find 4 times 4. This can be calculated as repeated addition: 4 + 4 + 4 + 4. Using multiplication, the total number of biscuits is 4 \times 4 = 16. Ramu bought 16 biscuits.

Question 2

2. There are 12 desks in the classroom. Each desk has 4 legs. What is the total number of legs of the desks?
Solution: There are 12 desks, and each desk has 4 legs. To find the total number of legs, we need to calculate 12 times 4. This means adding 4 twelve times (4 + 4 + ... 12 times). Using multiplication, the total number of legs is 12 \times 4 = 48. So, the desks have a total of 48 legs.

Question 3

3. Sahiba brought home 3 bunches of flowers. Each bunch has 4 flowers. How many flowers were there?
Solution: Sahiba has 3 bunches of flowers, and each bunch contains 4 flowers. To find the total number of flowers, we need to calculate 3 times 4. This is equivalent to adding 4 three times (4 + 4 + 4). Using multiplication, the total number of flowers is 3 \times 4 = 12. Therefore, there were 12 flowers in total.

Question 4

4. One rail coach has 8 wheels. How many wheels in all in 6 coaches?
Solution: Each rail coach has 8 wheels, and there are 6 coaches. To find the total number of wheels, we need to calculate 6 times 8. This can be done by adding 8 six times (8 + 8 + 8 + 8 + 8 + 8). Using multiplication, the total number of wheels is 6 \times 8 = 48. In total, there are 48 wheels in 6 coaches.

Stick Play

Mithu had some sticks. She arranged them like this:

1 \text{ time } 5 = 5,

2 \text{ times } 5 = 10

3 \text{ times } 5 = 15,

4 times 5 = 20

Illustration showing sticks arranged in patterns representing multiplication

Then she counted how many times the sticks were crossing each other. She found that 4 times 5=4 x 5=20

Solution: This section illustrates the concept of multiplication using sticks. Mithu arranges sticks to show patterns for '1 time 5', '2 times 5', '3 times 5', and '4 times 5'. The number of times a quantity is repeated corresponds to the multiplier in multiplication. For example, '4 times 5' means the number 5 is repeated 4 times, resulting in a total of 4 \times 5 = 20 sticks. The crossing points in the stick arrangement visually represent the result of the multiplication.

Common mistakes

  • Confusing the number of groups with the number of items in each group.
  • Errors in performing repeated addition.
  • Incorrectly converting between addition and multiplication.
  • Misinterpreting the phrase 'how many times'.

Revision tips

  • Practice converting repeated addition problems into multiplication sentences.
  • Visualize the problems by drawing groups of objects.
  • Use the provided examples to understand the relationship between multiplication and addition.
  • Work through all practice problems to solidify understanding.

Practice MCQs

Q1. What does '4 times 5' mean in terms of addition?

Q2. If there are 3 packets of biscuits and each packet has 4 biscuits, how many biscuits are there in total?

Q3. Which of the following represents 6 x 9?

Q4. How many eggs are there if there are 6 groups of 5 eggs each?

Q5. The expression 30 + 30 + 30 can be written as:

Frequently asked questions

What is the main concept taught in CBSE Class 3 Maths Chapter 9?

Chapter 9, 'How Many Times?', primarily teaches the concept of multiplication as a way to represent repeated addition. It helps students understand that multiplying a number by another signifies adding the first number as many times as the second number indicates.

How do these NCERT Solutions help students understand multiplication?

These solutions break down the concept of multiplication into simple, understandable steps. They show how to solve problems by repeated addition and then introduce the multiplication symbol as a shortcut, making the learning process intuitive for young learners.

Are the questions in the NCERT Solutions the same as in the textbook?

Yes, the questions in these NCERT Solutions are kept exactly the same as in the textbook to ensure students can practice with the official material. The problems are presented clearly, and the solutions provide detailed explanations.

What kind of problems are covered in this chapter?

The chapter covers various real-life scenarios where multiplication is used, such as finding the total number of items in multiple groups (like biscuits in packets, flowers in bunches, or wheels on coaches) and understanding the relationship between repeated addition and multiplication.

How can these solutions be used for exam preparation?

These solutions offer step-by-step guidance for each problem, helping students understand the logic behind the answers. Practicing with these rewritten solutions can build confidence and ensure a clear understanding of the 'How Many Times?' concept for exams.

Important links

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