CBSE Class 5 Mathematics Chapter 13: Ways to Multiply and Divide NCERT Solutions

Reviewed by NCERT Help Editorial Team · Updated on 29 Jul 2026

NCERT Solutions PDF Class 5 PDF

CBSE Class 5 Mathematics Chapter 13, 'Ways to Multiply and Divide,' introduces fundamental multiplication strategies. The NCERT Solutions offer detailed, easy-to-follow explanations for diverse multiplication problems, including practical applications like Bela's method. This chapter guides students in simplifying complex calculations by breaking them into manageable steps, fostering a deeper understanding of multiplication's logic. By practicing these methods, students can enhance their calculation accuracy and build confidence in tackling various mathematical challenges. These solutions are an excellent resource for reinforcing learning, preparing for exams, and strengthening overall mathematical proficiency.

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Board	CBSE
Class	Class 5
Subject	Mathematics
Session	2026
Language	English
Type	NCERT Solutions
Chapter	Chapter 13

Chapter summary

Chapter 13 of the CBSE Class 5 Mathematics curriculum, "Ways to Multiply and Divide," introduces students to different strategies for performing multiplication. The NCERT Solutions cover exercises that require applying specific methods like Bela's multiplication technique. The focus is on understanding the process of multiplication through detailed, step-by-step solutions, enabling students to solve problems accurately and efficiently.

Learning outcomes

Understand and apply Bela's method for multiplication.
Solve multiplication problems involving two-digit and larger numbers.
Break down multiplication into simpler steps.
Perform calculations accurately using learned methods.
Develop confidence in solving division problems.

Topics covered

Paper topics

Multiplication Methods
Bela's Method
Partial Products
Multi-digit Multiplication
Addition of Partial Products
Problem Solving in Multiplication

Important topics

Bela's Method for Multiplication
Step-by-step Multiplication Process
Calculating Partial Products
Adding Partial Products Accurately

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Questions and Solutions

Question 1

Use Bela's method to multiply these numbers:

$32 \times 46$
$67 \times 18$

Also, do these in your notebook using Bela's method:

$47 \times 19$
$188 \times 91$

$63 \times 57$
$225 \times 22$
$360 \times 12$
$163 \times 42$

Solution:

Bela's method involves breaking down the multiplication into simpler steps by considering the place value of the digits in the multiplier.

(a) For $32 \times 46$ :

Multiply 32 by the units digit of 46, which is 6: $32 \times 6 = 192$ .
Multiply 32 by the tens digit of 46, which is 4 (representing 40): $32 \times 40 = 1280$ .
Add the results from step 1 and step 2: $192 + 1280 = 1472$ .

So, $32 \times 46 = 1472$ .

(b) For $67 \times 18$ :

Multiply 67 by the units digit of 18, which is 8: $67 \times 8 = 536$ .
Multiply 67 by the tens digit of 18, which is 1 (representing 10): $67 \times 10 = 670$ .
Add the results from step 1 and step 2: $536 + 670 = 1206$ .

So, $67 \times 18 = 1206$ .

(a) For $47 \times 19$ :

Multiply 47 by the units digit of 19, which is 9: $47 \times 9 = 423$ .
Multiply 47 by the tens digit of 19, which is 1 (representing 10): $47 \times 10 = 470$ .
Add the results from step 1 and step 2: $423 + 470 = 893$ .

So, $47 \times 19 = 893$ .

(b) For $188 \times 91$ :

Multiply 188 by the units digit of 91, which is 1: $188 \times 1 = 188$ .
Multiply 188 by the tens digit of 91, which is 9 (representing 90): $188 \times 90 = 16920$ .
Add the results from step 1 and step 2: $188 + 16920 = 17108$ .

So, $188 \times 91 = 17108$ .

(c) For $63 \times 57$ :

Multiply 63 by the units digit of 57, which is 7: $63 \times 7 = 441$ .
Multiply 63 by the tens digit of 57, which is 5 (representing 50): $63 \times 50 = 3150$ .
Add the results from step 1 and step 2: $441 + 3150 = 3591$ .

So, $63 \times 57 = 3591$ .

(d) For $225 \times 22$ :

Multiply 225 by the units digit of 22, which is 2: $225 \times 2 = 450$ .
Multiply 225 by the tens digit of 22, which is 2 (representing 20): $225 \times 20 = 4500$ .
Add the results from step 1 and step 2: $450 + 4500 = 4950$ .

So, $225 \times 22 = 4950$ .

(e) For $360 \times 12$ :

Multiply 360 by the units digit of 12, which is 2: $360 \times 2 = 720$ .
Multiply 360 by the tens digit of 12, which is 1 (representing 10): $360 \times 10 = 3600$ .
Add the results from step 1 and step 2: $720 + 3600 = 4320$ .

So, $360 \times 12 = 4320$ .

(f) For $163 \times 42$ :

Multiply 163 by the units digit of 42, which is 2: $163 \times 2 = 326$ .
Multiply 163 by the tens digit of 42, which is 4 (representing 40): $163 \times 40 = 6520$ .
Add the results from step 1 and step 2: $326 + 6520 = 6846$ .

So, $163 \times 42 = 6846$ .

Common mistakes

Errors in carrying over digits during multiplication.
Incorrectly applying the steps of Bela's method.
Calculation mistakes in addition after partial products.
Misplacing digits in partial products.

Revision tips

Practice Bela's method with different sets of numbers.
Review the steps for each multiplication problem carefully.
Check your answers by estimating or using a different multiplication method.
Focus on accuracy in each step to avoid cumulative errors.

Practice MCQs

Q1. Which method is introduced in Chapter 13 for multiplying numbers?

Q2. In Bela's method, what is the first step for multiplying 32 by 46?

Q3. What is the result of 32 x 6 in Bela's method for 32 x 46?

Q4. After calculating 32 x 6 = 192, what is the next step in Bela's method for 32 x 46?

Q5. What is the final answer for 32 x 46 using Bela's method?

Frequently asked questions

What is the main focus of CBSE Class 5 Maths Chapter 13?

Chapter 13, 'Ways to Multiply and Divide,' focuses on teaching students different methods to perform multiplication, with a specific emphasis on Bela's method.

What is Bela's method for multiplication?

Bela's method is a technique where a multiplication problem is broken down into smaller steps. It involves multiplying the first number by the units digit of the second number, then by the tens digit (adjusted for place value), and finally adding these partial products together.

How do these NCERT Solutions help students?

These solutions provide clear, step-by-step explanations for each problem, making it easier for students to understand and apply Bela's method correctly. They help in building calculation accuracy and confidence.

Are there any division problems in this chapter's solutions?

While the chapter title includes 'Divide,' the provided source material focuses primarily on multiplication methods, specifically Bela's method. The solutions detail multiplication techniques.

Can I use these solutions to practice multiplication?

Yes, these solutions offer practice problems with detailed answers using Bela's method, which is excellent for reinforcing multiplication skills and preparing for exams.

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