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Integers — Revision Notes

ICSE · Class 7 · Mathematics

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

43 questions26 flashcards6 formulas & key relations5 concepts

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A number line illustrating the set of integers, including positive integers, negative integers, and zero.
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An illustration from Super Tutor's Integers chapter — alongside flashcards, concept maps and practice questions.

Key Topics to Revise

1

1. Nature of Integers

  • Integers are the set ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...
  • Positive integers are the same as natural numbers.
  • Negative integers are the negatives of natural numbers.
2

2. Multiplication of Integers

  • The product of two integers of the same sign is always positive.
  • The product of one positive integer and one negative integer is always negative.
  • Multiplication of integers satisfies closure, commutative, associative, and distributive properties.
3

3. Division of Integers

  • Division is an inverse process of multiplication.
  • Division of one integer by another integer is not always an integer.
  • Division of integers does not satisfy closure, commutative, associative, or distributive properties.
4

4. DMAS and Order of Operations

  • DMAS stands for Division, Multiplication, Addition, and Subtraction.
  • The operations are performed in the order D, then M, then A, then S.
  • This order is strict when an expression has more than one operation.

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Full Notes

Key Concepts

IntegersPositive integers are natural numbersNegative integers are the negativesZero is an integer thatThe product of two integers

Frequently Asked Questions

What are the important topics in Integers for ICSE Class 7 Mathematics?
Key topics in Integers include Nature of Integers, Multiplication of Integers, Division of Integers, DMAS and Order of Operations. Study these first, then practise questions on each for Class 7 exams.
How should I revise Integers for Class 7 exams?
Learn the core ideas first, then work through the 43 practice questions on 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 ICSE Class 7 Mathematics Revision Notes

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