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Concept Maps

Real Numbers — Concept Maps

Maharashtra Board · Class 9 · Mathematics

3 concept maps of Real Numbers for Maharashtra Board Class 9 Mathematics, each also written out as a text outline.

45 questions25 flashcards11 formulas & key relations5 concepts

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3 Concept Maps

Hierarchical classification showing how different number sets fit within real numbers

Hierarchical classification showing how different number sets fit within real numbers

The map in words

  • Real Numbers R
    • Rational Numbers Q
      • Integers I
        • Whole Numbers W
          • Natural Numbers N
            • Examples: 1,2,3
          • Zero
        • Negative Integers
          • Examples: -1,-2,-3
      • Fractions and Decimals
        • Non-repeating decimals
        • Repeating decimals
    • Irrational Numbers
      • Square roots
      • Cube roots
      • Special numbers
        • π
        • e

Two-branch diagram showing properties for both addition and multiplication operations

Two-branch diagram showing properties for both addition and multiplication operations

The map in words

  • Properties of Rational Numbers
    • Addition
      • Commutative: a + b = b + a
      • Associative: a + b + c = a + (b + c)
      • Identity: a + 0 = a
      • Inverse: a + (-a) = 0
    • Multiplication
      • Commutative: a × b = b × a
      • Associative: a × (b × c) = (a × b) × c
      • Identity: a × 1 = a
      • Inverse: a × (1/a) = 1

Decision tree for determining if a rational number's decimal is terminating or recurring

Decision tree for determining if a rational number's decimal is terminating or recurring

The map in words

  • Rational Number p/q
    • Check prime factors of denominator q
      • Only 2 and 5: Terminating Decimal
        • Examples: 2/5=0.4 1/8=0.125
      • Other primes too: Non-terminating Recurring Decimal
        • Examples: 1/3=0.333... 5/6=0.8333...

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Frequently Asked Questions

What are the important topics in Real Numbers for Maharashtra Board Class 9 Mathematics?
Key topics in Real Numbers include Number Systems – Hierarchy and Recall, Properties of Rational Numbers, Decimal Forms of Rational Numbers and Converting Recurring Decimals, Irrational Numbers and Real Numbers. Study these first, then practise questions on each for Class 9 exams.
What do the concept maps for Real Numbers show?
The 3 maps show how the ideas in Real Numbers connect: Hierarchical classification showing how different number sets fit within real numbers; Two-branch diagram showing properties for both addition and multiplication operations. Each map is also written out as an outline on this page.
How should I revise Real Numbers for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Real Numbers. 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 Real Numbers

All Maharashtra Board Class 9 Mathematics Concept Maps

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