NCERT Class 7 Mathematics Ganita Prakash-II: Chapter 2 — Operations with Integers
This chapter, "Operations with Integers," from NCERT's Mathematics Ganita Prakash-II for Class 7, begins with a fun number game involving Rakesh's Puzzles. Students are challenged to find two numbers given their sum and difference, encouraging them to use trial and error. The chapter then introduces the concept of integers through a carrom coin analogy. It explains how movements to the right can be represented by addition. If a coin moves 'a' units right and then 'b' units right, its final position from the start (0) is a + b. This section lays the groundwork for understanding addition of integers in a practical, engaging manner suitable for CBSE curriculum.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 7 |
| Subject | Mathematics |
| Book | Ganita Prakash-II |
| Chapter | Chapter 2 — Operations with Integers |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 3 minutes |
| Word count | 469 |
Learning outcomes
- Understand the concept of integers through puzzles.
- Solve problems involving the sum and difference of two integers.
- Represent movements of integers using addition.
- Apply the concept of integer addition to practical scenarios.
Vocabulary
| Word | Meaning |
|---|---|
| Integers | Whole numbers and their negative counterparts, including zero. |
| Sum | The result of adding two or more numbers. |
| Difference | The result of subtracting one number from another. |
| Units | A standard quantity used for measurement. |
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Practice questions
- Find two numbers whose sum is 30 and whose difference is 10. Answer: The numbers are 20 and 10.
- If a carrom coin moves 5 units right and then 2 units right, what is its final position from the start? Answer: The final position is 5 + 2 = 7 units from the start.
- Think of two numbers whose sum is 15 and difference is -5. Answer: The numbers are 5 and 10.
Frequently asked questions
What is the goal of Rakesh's Puzzle?
The goal is to find two numbers given their sum and difference, encouraging problem-solving skills.
How is the difference between two numbers defined in the puzzle?
The difference is defined as the first number minus the second number.
What does the carrom coin analogy represent?
It represents movement along a number line, where strikes to the right signify positive integer additions.
If a coin moves 'a' units right and then 'b' units right, what is the final position?
The final position is a + b units from the starting point 0.
What mathematical operation is introduced through the carrom coin example?
The addition of integers is introduced.
Related resources
Important topics
Topics covered
NCERT Class 7 Mathematics — Ganita Prakash-II — Chapter 2 — Operations with Integers. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.