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Integers

ICSE · Class 7 · Mathematics

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

43 questions26 flashcards5 concepts

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A number line illustrating the set of integers, including positive integers, negative integers, and zero.
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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 Integers — Complete Chapter Overview, Structure of Integers and Operations, Integer Multiplication Sign Rules - Decision Tree. These are the concepts ICSE Class 7 examiners draw on most — study them first, then practise related questions.
How to score full marks in Integers — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 43 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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