Class 5 Maths Chapter 13 Ways to Multiply and Divide – Complete Notes

✖️➗ Chapter 13 – Ways to Multiply and Divide

Class: 5 (CBSE)
Main Topics: Multiplication methods, Large numbers, Division strategies, Real-life problems

📘 Introduction

In daily life, we often need to find the total cost, total quantity, or share things equally. For this, we use multiplication and division. This chapter teaches us smart and easy methods to do both.

👩‍🏫 Bela’s Method of Multiplication

Instead of multiplying directly, we break numbers into parts and multiply step by step.

✔ Example

Multiply $65 \\times 31$

$31 = 30 + 1$

$65 \\times 30 = 1950$
$65 \\times 1 = 65$

Total = $1950 + 65 = 2015$

💰 Maniratnam – The Cashier

Cook’s salary per day = ₹$65$
Days in January = $31$

Salary for January = $65 \\times 31 = 2015$

✍️ Multiplication with Large Numbers

To multiply by $30$, first write a zero and then multiply by $3$.

$195 \\times 31$

$195 \\times 30 = 5850$
$195 \\times 1 = 195$

Total = $6045$

🍳 Shantaram – A Special Cook

Daily salary = ₹$165$
Days in a year = $365$

$165 \\times 365 = 60225$
So, Shantaram earns ₹$60,225$ in a year.

📅 Years and Years (Daily Life Problems)

Sohan drinks $8$ glasses of water daily.

In one month (30 days):
$8 \\times 30 = 240$ glasses

In one year:
$8 \\times 365 = 2920$ glasses

📐 Karunya – The Landlord (Area + Cost)

Field	Length	Breadth	Area (sq m)
A	28 m	27 m	$28 \\times 27 = 756$
B	36 m	12 m	$432$
C	27 m	19 m	$513$

➗ Introduction to Division

Division means sharing equally or finding how many times a number fits into another.

✔ Example

Dolma borrowed ₹$9588$ and wants to pay it in $6$ months.

$9588 \\div 6 = 1598$

She will pay ₹$1598$ every month.

🔁 Checking Division

Always check division by multiplication.

$1598 \\times 6 = 9588$ ✔

🧠 Fun with Multiplication (Patterns)

$(123 \\times 9) + 4 = 1111$
$(1234 \\times 9) + 5 = 11111$

Such patterns help improve mental maths.

🧮 Long Division Example

$969 \\div 4 = 242$ remainder $1$

If remainder is left, we must count it carefully.

🎯 Practice Questions

1) $47 \\times 19$

2) $360 \\times 12$

3) $4228 \\div 4$

4) $770 \\div 22$

5) Check $976 \\div 25$ and find buses needed.

✅ Quick Revision

✔ Break numbers for easy multiplication
✔ Multiply step-by-step
✔ Division = equal sharing
✔ Always check division by multiplication
✔ Patterns make maths fun

🎉 Chapter Complete

After this chapter, students can confidently solve large multiplication, division problems, and real-life word problems.

Class 5 Maths Worksheet – Ways to Multiply and Divide

📝 Worksheet – Ways to Multiply and Divide

Class: 5 (CBSE)
Chapter: Ways to Multiply and Divide
Main Skills: Multiplication, Division, Word Problems 🎯

Section A – Multiple Choice Questions (MCQs)

Q1. $65 \times 30$ is equal to:

(a) $195$

(b) $1950$

(d) $1300$

Q2. If $365$ days are in one year, how many days are in $4$ years?

(a) $730$

(b) $1200$

(d) $1825$

Q3. $9588 \div 6$ equals:

(a) $1498$

(b) $1598$

(d) $1798$

Q4. The remainder when $969 \div 4$ is:

(a) $0$

(b) $1$

(d) $3$

✔ Q1 → (b) $1950$
✔ Q2 → (c) $1460$
✔ Q3 → (b) $1598$
✔ Q4 → (b) $1$

Section B – Fill in the Blanks

1) Multiplication is repeated __________.

2) $165 \times 100 =$ __________.

3) Division means __________ sharing.

4) $25 \times 4 =$ __________.

✔ addition
✔ $16500$
✔ equal
✔ $100$

Section C – Very Short Answer Questions

1) What is multiplication?

2) What is division?

3) Write the remainder in $57 \div 5$.

✔ Repeated addition of a number.
✔ Equal sharing or grouping.
✔ Remainder = $2$

Section D – Short Answer Questions

Q1. Find $48 \times 23$ using a step method.

Q2. Divide $4228$ by $4$.

Q3. How can division be checked?

✔ $48 \times 23 = 1104$
✔ $4228 \div 4 = 1057$
✔ By multiplying quotient with divisor.

Section E – Long Answer Questions

Q1. A cook earns ₹$165$ per day. How much will he earn in $365$ days?

Q2. Dolma has to repay ₹$9588$ in $6$ months. How much will she pay every month?

✔ $165 \times 365 = 60225$
✔ Monthly payment = ₹$1598$

Section F – HOTS / Thinking Questions ⭐

Q1. If a number is multiplied by $10$, how does the number change?

Q2. Which is faster: multiplying by $100$ or multiplying by $10$ twice? Explain.

✔ The number becomes $10$ times bigger.
✔ Both give the same result because $10 \times 10 = 100$.

🎯 Worksheet Complete

✔ Practice step-wise multiplication
✔ Revise long division carefully
✔ Check answers by reverse operation
✔ You are now **exam-ready** ✅