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Revision Notes

Operations with Integers — Revision Notes

CBSE · Class 7 · Mathematics

Operations with Integers revision notes for CBSE Class 7 Mathematics: 4 topics in quick points. Part of the CBSE Class 7 Mathematics syllabus.

59 questions60 flashcards15 formulas & key relations5 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.
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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.
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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?
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 Revision Notes

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