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Chapter Summary

Operations with Integers — Chapter Summary

CBSE · Class 7 · Mathematics

Summary of Operations with Integers for CBSE Class 7 Mathematics. Part of the CBSE Class 7 Mathematics syllabus.

59 questions60 flashcards15 formulas & key relations5 concepts

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Overview

Integers represent positive numbers, negative numbers, and zero. Operations with integers use number lines, tokens, and sign rules to show how addition, subtraction, multiplication, and division work. The chapter also shows how integer patterns help in solving number puzzles, mark calculations, and

Key Concepts

The final position after two movements

The final position after two movements is found by adding the two movements. If movements are rightward, they are positive; if leftward, they are nega

Difference is defined as first number

Difference is defined as first number minus second number. Order matters, so 18 - 7 = 11 but 7 - 18 = -11.

The additive inverse of 18

The additive inverse of 18 is -18, and the additive inverse of -18 is 18. Subtracting a number is the same as adding its additive inverse.

Positive and negative tokens cancel each

Positive and negative tokens cancel each other as zero pairs. For example, 7 - 18 is handled by adding enough zero pairs and removing 18 positive toke

Positive multiplication means placing tokens into

Positive multiplication means placing tokens into a bag. Negative multiplication means removing tokens from a bag. Examples include 4 × (-2) = -8, (-4

Learning Objectives

  • Understand integers as numbers on both sides of zero
  • Use number lines and token models to add and subtract integers
  • Apply the idea that subtracting a number is the same as adding its additive inverse
  • Learn the rules for multiplying integers with positive and negative signs
  • Use Brahmagupta's rules for multiplication and division of positive and negative numbers

Frequently Asked Questions

What are the important topics in Operations with Integers for CBSE Class 7 Mathematics?
Key topics in Operations with Integers include Integer Basics and Sum-Difference Puzzles, Addition of Integers on a Number Line, Subtraction of Integers and Additive Inverse, Multiplication of Integers. Study these first, then practise questions on each for Class 7 exams.
How should I revise Operations with Integers for Class 7 exams?
Learn the core ideas first, then work through the 59 practice questions on Operations with Integers. Revise 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.

More resources for Operations with Integers

All CBSE Class 7 Mathematics Chapter Summary

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