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Chapter 3 of 22
Concept Maps

Natural Numbers and Whole Numbers — Concept Maps

ICSE · Class 6 · Mathematics

4 concept maps of Natural Numbers and Whole Numbers for ICSE Class 6 Mathematics, each also written out as a text outline.

91 questions25 flashcards8 formulas & key relations5 concepts

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4 Concept Maps

Natural Numbers and Whole Numbers — Complete Overview

Natural Numbers and Whole Numbers — Complete Overview

The map in words

  • Numbers Chapter 3
    • Natural Numbers
      • Start from 1
      • No Largest
      • Infinite
      • Not 0 or Negative
      • Not Fractions
      • 2n is Even
      • 2n minus 1 is Odd
    • Whole Numbers
      • Start from 0
      • Natural Numbers plus Zero
      • Smallest is 0
      • All Natural are Whole
      • Not all Whole are Natural
    • Successor and Predecessor
      • Successor = Number plus 1
      • Predecessor = Number minus 1
      • 0 has no Predecessor in Whole
    • Properties
      • Addition
        • Closure Yes
        • Commutative Yes
        • Associative Yes
        • Identity 0
      • Subtraction
        • No Properties Apply
        • Distributive Holds
      • Multiplication
        • Closure Yes
        • Commutative Yes
        • Associative Yes
        • Distributive Yes
        • Identity 1
      • Division
        • No Properties Apply
        • a div a = 1
        • a div 1 = a
        • 0 div a = 0
        • a div 0 Undefined
    • Patterns
      • Sum of n Odd = n squared
      • Sum of n Natural = n times n+1 div 2
      • Sum of n Even = n times n+1
      • Matchstick Squares M = 3n+1
      • Matchstick Triangles T = 2n+1
    • Magic Squares
      • Same Sum Every Row
      • Same Sum Every Column
      • Same Sum Both Diagonals
      • Classic Sum is 15

Natural Numbers and Whole Numbers - Complete Concept Overview

Natural Numbers and Whole Numbers - Complete Concept Overview

The map in words

  • Natural Numbers and Whole Numbers
    • Definition
      • Natural Numbers
        • Start from 1
        • Used for counting
        • Set 1 2 3 4 5
      • Whole Numbers
        • Start from 0
        • Natural + Zero
        • Set 0 1 2 3 4 5
    • Successor Predecessor
      • Successor
        • Add 1 to number
        • Example 5+1=6
      • Predecessor
        • Subtract 1 from number
        • Example 5-1=4
    • Properties Addition
      • Closure
        • Always gives whole number
      • Commutative
        • a + b = b + a
      • Associative
        • a + (b + c) = (a + b) + c
      • Identity
        • Zero is identity
        • a + 0 = a
    • Properties Subtraction
      • Not Closed
        • 5 - 8 = not whole
      • Not Commutative
        • 12 - 5 ≠ 5 - 12
      • Not Associative
        • 20-8)-5 ≠ 20-(8-5
      • No Identity
        • No element works
    • Properties Multiplication
      • Closure
        • Always gives whole number
      • Commutative
        • a × b = b × a
      • Associative
        • a × (b × c) = (a × b) × c
      • Distributive
        • a(b+c) = ab + ac
      • Identity
        • One is identity
        • a × 1 = a
    • Properties Division
      • Not Closed
        • 5 ÷ 8 = not whole
      • Not Commutative
        • 24 ÷ 6 ≠ 6 ÷ 24
      • Not Associative
        • Different groupings differ
      • Undefined
        • a ÷ 0 undefined
    • Number Patterns
      • Odd Numbers Sum
        • 1+3+5+...+n = n squared
      • Natural Sum
        • 1+2+3+...+n = n(n+1)/2
      • Even Sum
        • 2+4+6+...+n = n(n+1)
      • Matchstick Squares
        • M = 3n + 1
      • Matchstick Triangles
        • T = 2n + 1
    • Odd Even Properties
      • Even + Even
        • Always Even
      • Odd + Odd
        • Always Even
      • Even + Odd
        • Always Odd

Mind map showing the definition, examples, and what is NOT a natural number

Mind map showing the definition, examples, and what is NOT a natural number

The map in words

  • Natural Numbers
    • Definition
      • Used for counting
      • Start from 1
      • Infinite
    • Examples
      • 1, 2, 3, 4, 5
      • 6 houses
      • 10 fingers
    • NOT Natural Numbers
      • 0
      • 1/2
      • 3.5
      • -5

Natural Numbers and Whole Numbers

Natural Numbers and Whole Numbers

The map in words

  • Natural Numbers and Whole Numbers
    • Natural Numbers
    • Whole Numbers
    • Successor and Predecessor
    • Number Line Representation
    • Properties of Whole Numbers
    • Operations and Their Properties
    • Patterns in Numbers

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Frequently Asked Questions

What are the important topics in Natural Numbers and Whole Numbers for ICSE Class 6 Mathematics?
Key topics in Natural Numbers and Whole Numbers include Natural Numbers, Whole Numbers, Successor and Predecessor, Properties of Whole Numbers. Study these first, then practise questions on each for Class 6 exams.
What do the concept maps for Natural Numbers and Whole Numbers show?
The 4 maps show how the ideas in Natural Numbers and Whole Numbers connect: Natural Numbers and Whole Numbers — Complete Overview; Natural Numbers and Whole Numbers - Complete Concept Overview. Each map is also written out as an outline on this page.
How should I revise Natural Numbers and Whole Numbers for Class 6 exams?
Learn the core ideas first, then work through the 91 practice questions on Natural Numbers and Whole 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.

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All ICSE Class 6 Mathematics Concept Maps

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