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Concept Maps

Rational Number — Concept Maps

ICSE · Class 8 · Mathematics

4 concept maps of Rational Number for ICSE Class 8 Mathematics, each also written out as a text outline. Part of the ICSE Class 8 Mathematics syllabus.

38 questions28 flashcards9 formulas & key relations5 concepts

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A nested Venn diagram illustrating the relationships between natural numbers (N), integers (Z), rational numbers (Q), and real numbers (R) as subsets of each other.
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4 Concept Maps

Mind map showing the hierarchical relationship between different number systems, with rational numbers being the most inclusive

Mind map showing the hierarchical relationship between different number systems, with rational numbers being the most inclusive

The map in words

  • Number Systems
    • Natural Numbers
      • 1, 2, 3, 4
      • Counting numbers
    • Whole Numbers
      • 0, 1, 2, 3, 4
      • Add zero
    • Integers
      • ..., -3, -2, -1, 0, 1, 2, 3, ...
      • Add negatives
    • Rational Numbers
      • All fractions p/q
      • Add non-integer fractions
      • Most inclusive

Flowchart showing the process of converting a rational number to standard form

Flowchart showing the process of converting a rational number to standard form

The map in words

  • Rational Number p/q
    • Is denominator positive?
      • No: Move negative to numerator
        • Do p and q have common factors?
          • Yes: Divide both by GCF of p and q
            • Already in standard form
              • Standard Form Rational Number

Flowchart showing how to determine if a rational number is positive, negative, or zero based on the signs of its numerator and denominator

Flowchart showing how to determine if a rational number is positive, negative, or zero based on the signs of its numerator and denominator

The map in words

  • Rational Number p/q
    • Sign of p and q
      • Same sign both + or both -: POSITIVE Rational Number
        • Examples: 5/8, -5/-8
      • Opposite signs + and - or - and +: NEGATIVE Rational Number
        • Examples: -5/8, 5/-8
      • p = 0: ZERO Neither positive nor negative
        • 0/q where q≠0

Rational numbers and their operations

Rational numbers and their operations

The map in words

  • Rational numbers and their operations
    • Number system
    • Definition of rational number
    • Equivalent rational numbers
    • Standard form
    • Addition of rational numbers
    • Subtraction of rational numbers
    • Multiplication of rational numbers
    • Division of rational numbers

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Frequently Asked Questions

What are the important topics in Rational Number for ICSE Class 8 Mathematics?
Key topics in Rational Number include Meaning of Rational Numbers, Standard Form and Equivalent Rational Numbers, Addition and Subtraction of Rational Numbers, Multiplication and Division of Rational Numbers. Study these first, then practise questions on each for Class 8 exams.
What do the concept maps for Rational Number show?
The 4 maps show how the ideas in Rational Number connect: Mind map showing the hierarchical relationship between different number systems, with rational numbers being the most inclusive; Flowchart showing the process of converting a rational number to standard form. Each map is also written out as an outline on this page.
How should I revise Rational Number for Class 8 exams?
Learn the core ideas first, then work through the 38 practice questions on Rational Number. 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 Rational Number

All ICSE Class 8 Mathematics Concept Maps

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