Class 5 Maths Chapter 1 Numbers Full Explanation with Examples & Important Questions 2026

📘 Class 5 Maths Chapter 1: Numbers – Full Explanation with Examples & Important Questions (2026 Guide)

Class 5 Mathematics Chapter 1: Large Numbers & Indian Place Value System | J K Online Classes

🧠 Introduction

Class 5 Maths Chapter 1 “Numbers” is one of the most important chapters for building a strong mathematical foundation. In this chapter, students learn about large numbers (up to crores), place value, face value, number comparison, rounding off, and basic arithmetic operations.

Understanding numbers clearly helps students solve higher-level problems easily. This guide provides a complete explanation, solved examples, and the most important questions for exam preparation.

🔢 What Are Numbers?

Numbers are used in our daily life for counting, measuring, and calculations. Without numbers, mathematics would not exist.

In Class 5, students learn how to:

• Read and write large numbers
• Understand place value
• Compare numbers
• Perform basic operations

📊 Place Value and Face Value

✅ Face Value

The face value of a digit is the digit itself, regardless of its position.

👉 Example:

In 7,45,321, the face value of 5 is 5.

✅ Place Value

The place value of a digit depends on its position in the number.

👉 Example:

In 7,45,321:

• 7 = 7,00,000
• 4 = 40,000
• 5 = 5,000

So, the place value of 5 is 5,000.

🏦 Indian Place Value System

The Indian place value system is used to read large numbers.

Place	Value
Ones	1
Tens	10
Hundreds	100
Thousands	1,000
Ten Thousands	10,000
Lakhs	1,00,000
Ten Lakhs	10,00,000
Crores	1,00,00,000

👉 Example:

56,78,945 is read as:

Fifty-six lakh seventy-eight thousand nine hundred forty-five

✍️ Writing Numbers in Words

Writing numbers in words is an important skill.

👉 Example:

3,45,678 = Three lakh forty-five thousand six hundred seventy-eight

Correct placement of commas is essential in the Indian system.

🔍 Expanded Form

Expanded form means expressing a number as the sum of its place values.

👉 Example:

45,678 = 40,000 + 5,000 + 600 + 70 + 8

This helps in understanding the structure of numbers.

⚖️ Comparing Numbers

To compare numbers:

1. Check the number of digits
2. Compare digits from left to right

👉 Example: Compare 87,654 and 78,999

👉 Answer: 87,654 is greater

🔁 Ascending and Descending Order

Ascending Order (Smallest to Largest)

4,567 < 5,678 < 6,789

Descending Order (Largest to Smallest)

9,876 > 8,765 > 7,654

🔄 Rounding Off Numbers

Rounding makes numbers simpler.

Rules:

• If the digit is 5 or more → round up
• If the digit is less than 5 → round down

👉 Example:

Round 6,789 to the nearest 100 → 6,800

👉 Example:

Round 3,245 to the nearest 1000 → 3,000

➕ Basic Operations on Numbers

Addition

4567 + 2345 = 6912

Subtraction

9876 – 4321 = 5555

Multiplication

234 × 3 = 702

Division

144 ÷ 12 = 12

✍️ Solved Examples

Example 1: Find the place value of 8 in 68,542

👉 Answer: 8 is in the thousands place → 8,000

Example 2: Write 5,67,321 in expanded form

👉 Answer: 5,00,000 + 60,000 + 7,000 + 300 + 20 + 1

Example 3: Arrange in ascending order:

5,678, 4,567, 6,789

👉 Answer: 4,567 < 5,678 < 6,789

Example 4: Round 9,876 to the nearest 1000

👉 Answer: 10,000

Example 5: Find the successor of 99,999

👉 Answer: 1,00,000

🎯 10 Most Asked Questions

1. Write the place value of 6 in 6,54,321
2. Expand the number 8,76,543
3. Write the number name of 4,56,789
4. Compare: 65,432 ___ 56,432
5. Round 7,891 to the nearest 100
6. Arrange in ascending order: 7,654, 6,543, 8,765
7. Find the predecessor of 1,00,000
8. What is the successor of 49,999?
9. Solve: 3456 + 7890
10. Subtract: 9876 – 5432

📥 Extra Practice Questions

• Write 7,89,654 in words
• Find the place value of 9 in 9,87,321
• Round 4,567 to the nearest 10
• Multiply 345 × 4
• Divide 200 ÷ 10

💡 Tips to Score High

• Practice daily
• Learn multiplication tables up to 20
• Understand place value clearly
• Solve previous year questions
• Avoid calculation mistakes

🚀 Conclusion

Class 5 Maths Chapter 1 “Numbers” builds the base for all future mathematical learning. Concepts like place value, number comparison, rounding, and operations are essential for solving complex problems in higher classes.

With regular practice and clear understanding, students can easily master this chapter and score high marks in exams.