NCERT Class 5 Mathematics Math-Magic: Chapter 13 — Ways to Multiply and Divide
This chapter, 'Ways to Multiply and Divide' from NCERT's Class 5 Mathematics textbook 'Math-Magic', introduces students to different methods of multiplication. It begins with a scenario of Maniratnam, the cashier, calculating salaries. His daughter, Bela, demonstrates an expanded multiplication method, breaking down the multiplier into tens and ones (e.g., 31 as 30 + 1) and performing partial multiplications before summing them up. The chapter then presents practice problems for students to apply Bela's method to multiply two-digit and larger numbers. This approach helps build a strong conceptual understanding of multiplication, crucial for CBSE mathematics learning.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 5 |
| Subject | Mathematics |
| Book | Math-Magic |
| Chapter | Chapter 13 — Ways to Multiply and Divide |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 227 |
Learning outcomes
- Understand and apply expanded multiplication methods.
- Break down multiplication into simpler steps.
- Calculate salaries and other quantities using multiplication.
- Solve multiplication problems involving two-digit and larger numbers.
Vocabulary
| Word | Meaning |
|---|---|
| Cashier | A person responsible for receiving and paying out money in a shop, bank, etc. |
| Salary | A fixed regular payment, typically paid on a monthly or biweekly basis but often expressed as an annual sum, made by an employer to an employee. |
| Multiply | To increase in number, amount, or degree. |
| Method | A particular way of doing something. |
| Expanded form | Writing a number as the sum of the values of its digits. |
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Practice questions
- Use Bela's method to multiply 32 × 46. Answer: 32 × 46 = (32 × 6) + (32 × 40) = 192 + 1280 = 1472
- Use Bela's method to multiply 67 × 18. Answer: 67 × 18 = (67 × 8) + (67 × 10) = 536 + 670 = 1206
- Bhanu wanted to multiply 195 × 31. Show the steps using Bela's method. Answer: 195 × 31 = (195 × 1) + (195 × 30) = 195 + 5850 = 6045
Frequently asked questions
What is the main topic of NCERT Class 5 Mathematics Chapter 13?
The chapter focuses on 'Ways to Multiply and Divide', introducing and practicing different methods of multiplication.
Who is Maniratnam in the chapter?
Maniratnam is the cashier for king Jayan, responsible for calculating salaries.
What is Bela's method of multiplication?
Bela's method involves breaking down the multiplier into tens and ones, performing partial multiplications, and then adding the results.
How does Bela's method help in multiplying numbers like 65 × 31?
She multiplies 65 by 1 and then by 30 separately, and adds these two products (65 + 1950) to get the final answer.
What kind of practice problems are included in the chapter?
Students are given problems to multiply two-digit numbers and larger numbers using Bela's method.
Related resources
Important topics
Topics covered
NCERT Class 5 Mathematics — Math-Magic — Chapter 13 — Ways to Multiply and Divide. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.