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Concept Maps

Number System — Concept Maps

NIOS · Class 10 · Maths

4 concept maps of Number System for NIOS Class 10 Maths, each also written out as a text outline. Part of the NIOS Class 10 Maths syllabus.

39 questions35 flashcards7 formulas & key relations5 concepts

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An infographic showing the nested relationship between Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers. Irrational Numbers are shown as a separate set within Real Numbers,
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4 Concept Maps

Number System Hierarchy

Number System Hierarchy

The map in words

  • Number System
    • Natural Numbers
      • Counting 1 2 3
      • Operations Add Multiply
      • No Zero
    • Whole Numbers
      • Includes Zero
      • Natural plus 0
      • Still Limited
    • Integers
      • Positive Negative
      • Complete Subtraction
      • Number Line
    • Rational Numbers
      • Fraction Form p/q
      • Decimal Forms
        • Terminating
        • Non-terminating Repeating
      • Infinite Between Two
    • Irrational Numbers
      • Non-repeating Decimals
      • Square Roots
      • Pi and e
    • Real Numbers
      • Rational plus Irrational
      • Complete Number Line
      • All Measurements

Complete Number System Overview

Complete Number System Overview

The map in words

  • Number System
    • Natural Numbers
      • Counting Numbers
      • 1 2 3 4 ...
      • No Zero
      • Closed under Addition
      • Closed under Multiplication
    • Whole Numbers
      • Natural + Zero
      • 0 1 2 3 ...
      • Zero Property
      • Additive Identity
    • Integers
      • Positive Negative Zero
      • ... -2 -1 0 1 2 ...
      • Subtraction Possible
      • Number Line
    • Rational Numbers
      • Form p over q
      • Terminating Decimals
      • Repeating Decimals
      • Dense Property
      • Four Operations
    • Irrational Numbers
      • Square Roots
      • Pi and e
      • Non-repeating Decimals
      • Geometric Construction
    • Real Numbers
      • Union of Rational Irrational
      • Complete Number Line
      • All Measurements
      • Continuous

Number System Hierarchy

Number System Hierarchy

The map in words

  • Number System
    • Natural Numbers
      • Counting Numbers
        • 1, 2, 3, ...
        • No Zero
        • Addition Multiplication Always Work
    • Whole Numbers
      • Natural Plus Zero
        • 0, 1, 2, 3, ...
        • Includes Zero
        • Subtraction Sometimes Works
    • Integers
      • Positive Negative Zero
        • ..., -2, -1, 0, 1, 2, ...
        • Temperature Analogy
        • Four Operations with Restrictions
    • Rational Numbers
      • Fraction Form
        • p/q where q ≠ 0
        • Terminating Decimals
        • Repeating Decimals
        • Dense Property
    • Irrational Numbers
      • Cannot be Fraction
        • √2, √3, π
        • Non-terminating Non-repeating
        • Geometric Origins
    • Real Numbers
      • All Numbers Combined
        • Rational Union Irrational
        • Complete Number Line
        • Continuous Mathematics

Number System

Number System

The map in words

  • Number System
    • Natural Numbers
    • Whole Numbers
    • Integers
    • Rational Numbers
    • Standard Form
    • Equivalent Forms
    • Comparison of Rational Numbers
    • Operations on Rational Numbers

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Frequently Asked Questions

What are the important topics in Number System for NIOS Class 10 Maths?
Key topics in Number System include Natural Numbers, Whole Numbers, and Integers, Rational Numbers and Standard Form, Arithmetic Operations on Rational Numbers, Decimal Representation of Rational Numbers. Study these first, then practise questions on each for the NIOS Class 10 board exam.
What do the concept maps for Number System show?
The 4 maps show how the ideas in Number System connect: Number System Hierarchy; Complete Number System Overview. Each map is also written out as an outline on this page.
How should I revise Number System for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 39 practice questions on Number System. 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 NIOS Class 10 Maths Concept Maps

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