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Concept Maps

Integers — Concept Maps

ICSE · Class 7 · Mathematics

4 concept maps of Integers for ICSE Class 7 Mathematics, each also written out as a text outline. 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.

4 Concept Maps

Integers — Complete Chapter Overview

Integers — Complete Chapter Overview

The map in words

  • Integers
    • Introduction
      • Positive Integers
        • Natural Numbers
        • Right of Zero
      • Negative Integers
        • Left of Zero
        • Negatives of Natural Numbers
      • Zero
        • Neither Positive nor Negative
    • Multiplication
      • Sign Rules
        • Same Signs give Positive
        • Different Signs give Negative
      • Multiple Negatives
        • Even Count gives Positive
        • Odd Count gives Negative
      • Properties
        • Closure
        • Commutative
        • Associative
        • Distributive
        • Identity is 1
    • Division
      • Sign Rules
        • Same Signs give Positive
        • Different Signs give Negative
      • Special Cases
        • Zero divided by n equals 0
        • n divided by Zero is Undefined
        • m divided by m equals 1
      • Properties NOT Satisfied
        • Not Closed
        • Not Commutative
        • Not Associative
    • DMAS Rule
      • D for Division First
      • M for Multiplication Second
      • A for Addition Third
      • S for Subtraction Last
    • Brackets
      • Vinculum First
      • Small Bracket Second
      • Curly Bracket Third
      • Square Bracket Last
    • Word Problems
      • Sum Problems
      • Difference Problems
      • Product Problems
      • Exceed By Problems

Structure of Integers and Operations

Structure of Integers and Operations

The map in words

  • Integers
    • Definition
      • Positive integers
      • Negative integers
      • Zero
    • Multiplication
      • Same signs
        • Positive result
      • Opposite signs
        • Negative result
      • Multiple negatives
        • Odd count negative
        • Even count positive
    • Division
      • Same signs
        • Positive quotient
      • Opposite signs
        • Negative quotient
      • Special cases
        • Any number by 0 undefined
        • 0 by any number is 0
    • Properties
      • Closure
      • Commutative
      • Associative
      • Distributive
      • Identity

Integer Multiplication Sign Rules - Decision Tree

Integer Multiplication Sign Rules - Decision Tree

The map in words

  • Start: Multiply Two Integers
    • What are the signs?
      • Both positive: Positive × Positive
        • Result is POSITIVE
          • Example: 5 × 4 = 20
            • Multiply absolute values, keep positive sign
      • Both negative: Negative × Negative
        • Result is POSITIVE
          • Example: -5 × -4 = 20
      • One positive, one negative: Mixed Signs
        • Result is NEGATIVE
          • Example: 5 × -4 = -20
            • Multiply absolute values, attach negative sign

Integers

Integers

The map in words

  • Integers
    • Set of integers
    • Positive integers
    • Negative integers
    • Zero
    • Multiplication of integers
    • Division of integers
    • DMAS
    • Brackets and vinculum

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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.
What do the concept maps for Integers show?
The 4 maps show how the ideas in Integers connect: Integers — Complete Chapter Overview; Structure of Integers and Operations. Each map is also written out as an outline on this page.
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.

More resources for Integers

All ICSE Class 7 Mathematics Concept Maps

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