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Revision Notes

Operations with Integers

CBSE · Class 7 · Mathematics

Quick revision notes for Operations with Integers — CBSE Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

59 questions60 flashcards5 concepts

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Key Topics to Revise

1

1. Integer Basics and Sum-Difference Puzzles

  • The difference of two numbers means the first number minus the second number.
  • If the sum is 25 and the difference is 11, the numbers are 18 and 7 because 18 + 7 = 25 and 18 - 7 = 11.
  • If the sum is 25 and the difference is -11, the numbers are 7 and 18 because 7 + 18 = 25 and 7 - 18 = -11.
2

2. Addition of Integers on a Number Line

  • A carrom coin moving rightward represents a positive integer.
  • A carrom coin moving leftward represents a negative integer.
  • The final position after two strikes is found by adding the two movements.
3

3. Subtraction of Integers and Additive Inverse

  • Subtracting a number is the same as adding its additive inverse.
  • The additive inverse of 18 is -18, and the additive inverse of -18 is 18.
  • 7 - 18 = -11 using tokens with zero pairs.
4

4. Multiplication of Integers

  • 4 × (-2) = -8 by placing 2 negative tokens into an empty bag 4 times.
  • (-4) × 2 = -8 by removing 2 positive tokens from a bag 4 times.
  • (-4) × (-2) = 8 by removing 2 negative tokens from a bag 4 times.

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Full Notes

Key Concepts

The final position after two movementsDifference is defined as first numberThe additive inverse of 18Positive and negative tokens cancel eachPositive multiplication means placing tokens into

Frequently Asked Questions

What are the important topics in Operations with Integers for CBSE Class 7 Mathematics?
Operations with Integers covers several key topics that are frequently asked in CBSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Operations with Integers — CBSE Class 7 Mathematics?
Understand the core concepts first, then work through the 59 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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