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Syllabus

Operations with Integers — Syllabus

CBSE · Class 7 · Mathematics

What Operations with Integers covers in CBSE Class 7 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 7 Mathematics syllabus.

59 questions60 flashcards15 formulas & key relations5 concepts

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4 Topics · CBSE Class 7 Mathematics · 2026-27

Topics in Operations with Integers

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.

Key Concepts

Central concept: Operations with Integers

Quick recap of integersAddition with integersSubtraction with integersMultiplication of integersPatterns in multiplicationCommutative propertyBrahmagupta's rulesDivision of integers

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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.

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All CBSE Class 7 Mathematics Syllabus

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