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

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CBSE Class 3 Mathematics Chapter 9, 'How Many Times', introduces multiplication as repeated addition. The NCERT Solutions offer clear explanations and examples to help young learners grasp this core arithmetic concept. Through relatable problems, such as counting the legs of animals or grouping everyday items, students will discover how multiplication simplifies repetitive addition. The solutions meticulously break down each problem, illustrating the direct link between adding the same number multiple times and using the multiplication symbol (×). This foundational chapter is essential for developing strong arithmetic skills, paving the way for more advanced mathematical understanding. The provided solutions aim to ensure students master the 'how many times' concept, making exam preparation efficient and easy.

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Quick info

BoardCBSE
ClassClass 3
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 9

Chapter summary

Chapter 9, 'How Many Times', for CBSE Class 3 Mathematics introduces multiplication as a shortcut for repeated addition. The NCERT Solutions cover exercises that reinforce this concept by asking students to calculate total quantities based on groups and repeated items, such as counting legs of animals or objects in rows. The solutions clearly illustrate the connection between adding a number multiple times and multiplying it by the number of times it appears.

Learning outcomes

  • Understand multiplication as repeated addition.
  • Solve problems involving 'how many times' by using repeated addition.
  • Relate repeated addition to the multiplication symbol (×).
  • Calculate the total number of items when given the number of groups and items per group.
  • Apply multiplication concepts to real-world scenarios like counting legs or objects.

Topics covered

Paper topics

  • Introduction to Multiplication
  • Repeated Addition
  • Multiplication as 'Times'
  • Counting Legs of Animals
  • Counting Objects in Groups
  • Multiplication Facts
  • Word Problems on Multiplication

Important topics

  • Multiplication as Repeated Addition
  • Understanding 'How Many Times'
  • Relating Addition and Multiplication
  • Solving Grouping Problems

PDF preview

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Questions and Solutions

Question 1

How many spiders are there? _____ One spider has _____ legs. In all, the spider legs are 3 times _____ or + + = _____ or 3 × = _____
Solution:

Let's count the spiders shown in the image. There are 3 spiders.

We know that one spider has 8 legs.

To find the total number of legs for all 3 spiders, we can add the legs of each spider: 8 legs + 8 legs + 8 legs.

This repeated addition can be written as multiplication. Since there are 3 spiders, and each has 8 legs, it is 3 times 8.

Calculating the sum: 8 + 8 + 8 = 24.

Calculating the product: 3 × 8 = 24.

So, in all, the spider legs are 3 times 8, which equals 24.

Answer: There are 3 spiders. One spider has 8 legs. In all, spider legs are 3 times 8 or 8 + 8 + 8 = 24 or 3 \times 8 = 24.

Question 2

Do you know this leggy fellow? This is an octopus. It lives in the sea. It also has 8 legs. So how many legs altogether do 5 octopuses have? + + + + = _____ or 5 times _____ = _____ or 5 × _____ = _____
Solution:

The problem states that an octopus has 8 legs.

We need to find the total number of legs for 5 octopuses.

We can find this by adding the number of legs for each octopus 5 times: 8 + 8 + 8 + 8 + 8.

This repeated addition is equivalent to multiplying the number of legs per octopus (8) by the number of octopuses (5).

So, it can be written as 5 times 8.

Let's calculate the sum: 8 + 8 + 8 + 8 + 8 = 40.

Let's calculate the product: 5 × 8 = 40.

Therefore, 5 octopuses have a total of 40 legs.

Answer: 8 + 8 + 8 + 8 + 8 = 40 or 5 times 8 = 40 or 5 \times 8 = 40.

Page No 123:

Question 1

In the same way, how many bottles are these? _____ times ____ = _____ bottles
Solution:

Observe the arrangement of bottles. We can see that the bottles are arranged in rows.

Let's count the number of rows. There are 5 rows.

Now, let's count the number of bottles in each row. There are 4 bottles in each row.

To find the total number of bottles, we can multiply the number of rows by the number of bottles in each row.

This is calculated as 5 times 4.

So, 5 times 4 equals 20.

Answer: There are 5 rows. Each row has 4 bottles. 5 times 4 = 20 bottles.

Question 2

How many eggs? _____ times ____ = ____ eggs
Solution:

Let's examine the image showing the eggs. The eggs are arranged in rows.

First, count the number of rows. We can see there are 5 rows.

Next, count the number of eggs in each row. There are 6 eggs in each row.

To find the total number of eggs, we multiply the number of rows by the number of eggs in each row.

This calculation is 5 times 6.

So, 5 times 6 equals 30.

Answer: There are 5 rows and each row has 6 eggs. 5 times 6 = 30 eggs.

Common mistakes

  • Confusing the number of groups with the number of items in each group.
  • Difficulty in converting repeated addition to multiplication.
  • Errors in basic addition when performing repeated addition.
  • Misinterpreting the phrase 'how many times'.

Revision tips

  • Practice converting word problems into repeated addition sentences first.
  • Visualize the groups and items in each group to understand the multiplication setup.
  • Use objects like beads or blocks to physically represent the problems.
  • Review the relationship between addition and multiplication regularly.

Practice MCQs

Q1. If one spider has 8 legs, how many legs do 3 spiders have in total?

Q2. An octopus has 8 legs. How many legs do 5 octopuses have?

Q3. The expression '4 times 6' can be written as repeated addition as:

Q4. If there are 5 rows with 4 bottles in each row, the total number of bottles is:

Frequently asked questions

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

Chapter 9, 'How Many Times', introduces the fundamental concept of multiplication as a way to represent repeated addition.

How do these NCERT Solutions help students?

These solutions provide step-by-step explanations for each question, making it easier for students to understand how to solve problems involving multiplication as repeated addition.

What is the relationship between addition and multiplication shown in this chapter?

The chapter demonstrates that multiplication is a shortcut for adding the same number multiple times. For example, 3 times 8 is the same as 8 + 8 + 8.

Are there real-world examples in the solutions?

Yes, the solutions use relatable examples like counting the legs of spiders and octopuses, and grouping bottles and eggs to illustrate the concept.

How can these solutions help with exam preparation?

By providing clear and rewritten solutions, these resources help students practice and revise the 'how many times' concept, ensuring they are well-prepared for their exams.

Important links

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