Syllabus covered in the MSVgo app

Download MSVgo app now!

Chapter 2 – Whole Numbers

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

Introduction

There are many numbers in the world that can be divided into whole numbers, natural numbers, integers, etc. Can one really count all the numbers? It would be like counting stars in the sky. However, numbers play a very integral role in our daily lives and complex scientific problems. 

Let us begin with a basic understanding of the number system. A numeral system or the number system is a system of expressing numerical digits or numbers in an organized and classified format. 

Every number known to humankind is classified into various sets for a better understanding and better usage. These sets may be called natural numbers, rational numbers, irrational numbers, integers, whole numbers, etc. 

In this article, we will be learning about whole numbers.

Whole numbers are numbers that begin from 0 and go on till infinity. 

These numbers are denoted by the letter W. 

Whenever you are asked to count numbers, you start counting 1, 2, 3, 4, and so on… 

This counting method is a natural occurrence, and therefore natural numbers begin from 1 and go till infinity. 

However, in 628 BC, the famous Indian Mathematician Brahmagupta introduced the number 0, and it became the foundation for designing the system of whole numbers. 

Interesting Fact: Every natural number is a whole number but not every whole number is a natural number.

  • Closure property

The closure property of whole numbers states that the multiplication or addition of any two whole numbers will result in a whole number as well. 

For example: Let us take two whole numbers, 2 and 3

2X3= 6 (which is also a whole number) 

2+3=5 (which is also a whole number) 

  • Commutative property

The commutative property of whole numbers states that the addition or multiplication of two whole numbers will also result in a whole number regardless of their order of addition or multiplication. 

For example: Let us take two whole numbers 2 and 3

2×3 = 3×2

2+5 = 5+2 

  • Additive identity property

The additive identity property of the whole numbers states that its value remains unchanged when a whole number is added to zero. 

For example: Let us take a whole number 5

5+0 = 5 

  • Multiplicative property

The multiplicative property of whole numbers states that its value remains unchanged when a whole number is multiplied with 1. 

For example: Let us take a whole number 5

5×1= 5 

  • Associative property 

The associative property of whole numbers states that the manner of the grouping of the numbers does not affect the result in the case of multiplication or addition. 

For example: Let us take three whole numbers 2,3, and 4. 

(2×3)x4 = 2x(3×4)

(2+3)+4 = 2+(3+4) 

  • Distributive property

The distributive property of whole numbers states that when multiplication and addition/subtraction are seen together, the effect of the number outside the bracket falls upon every number inside the bracket. 

For example: Let us take three whole numbers, 5,6, and 7. 

7x(6+5) = (7×6) + (7×5)

7x(6-5) = (7×6) – (7×5)

The entire set of whole numbers can be divided into various patterns, namely

  • Ascending
  • Descending
  • Odd numbers
  • Even numbers
  • Multiples of a number
  • Square numbers 
  • Cube numbers etc.

1. What are whole numbers for Class 6?

In mathematics, whole numbers are a part of Real Numbers. 

These numbers begin from 0 and go on up to infinity. 

On the number line, they begin from the number 0 and move forward on the right side. 

The set of whole numbers is an uncountable set. 

2. What is meant by whole numbers for Class 6?

The basic counting numbers that begin from zero and go on up to infinity are known as whole numbers. These numbers are used in daily life, from nutrition labels to the numbers on a TV remote. 

Whole numbers are denoted by the letter W and are a subset of Real numbers. 

3. Which is the smallest whole number for Class 6? 

Since the whole numbers begin from the number 0 on the number line, any number before the number 0 will not be a part of the set of whole numbers. This means that the number 0 is the smallest whole number, and the largest whole number is infinity.

The whole numbers set is 0, 1, 2, 3…infinity. 

4. How many whole numbers are there? 

There are infinite whole numbers. Counting all the whole numbers would be like counting the stars in the sky. 

The set of whole numbers is an uncountable one. This means that there is no definite answer to how many whole numbers are there since the numbers go up to infinity. 

5. Which is the smallest number?

While 0 is the smallest whole number and 1 is the smallest natural number, one can never say the smallest number on the number line. 

This is because the number line’s assumed midpoint is zero, and the numbers (both negative and positive) go up to infinity. 

Therefore, the smallest number on the number line would be an infinite number. 

6. Which is the smallest whole number?

Whole numbers (denoted by the letter w) are a subset of Real Numbers and a superset of Natural numbers. 

Whole numbers begin from the number 0 and go on up to infinity. 

Thus making 0 the smallest whole number. 

The numbers that begin from zero and move forward on the right side of zero on the number line are called whole numbers. These whole numbers are a subset of real numbers and are denoted by the letter W. Various properties apply to them (as mentioned above). 

We understand that the study of numbers can be overwhelming and a little complex at times. For a better understanding of the whole numbers, try MSVgo, the Math Science Super App that facilitates informative videos on various topics of science and math that help you understand better and grow faster. 

High School Physics

  • Alternating Current
  • Atoms
  • Communication Systems
  • Current Electricity
  • Dual nature of Radiation and Matter
  • Electric Charges and Fields
  • Electricity
  • Electromagnetic Induction
  • Electromagnetic Waves
  • Electron Beams and Radioactivity
  • Electrons and Photons
  • Electrostatic Potential and Capacitance
  • Fluid Pressure
  • Force and Acceleration
  • Force And Laws Of Motion
  • Gravitation
  • Internal Energy
  • Kinetic Theory
  • Law of motion
  • Light – Reflection And Refraction
  • Magnetic Effects Of Electric Current
  • Magnetism and Matter
  • Management Of Natural Resources
  • Mechanical properties of Fluids
  • Mechanical properties of Solids
  • Motion
  • Motion in a plane
  • Motion in a straight line
  • Moving Charges and Magnetism
  • Nuclear Energy
  • Nuclei
  • Oscillations
  • Our Environment
  • Paths of Heat
  • Physical world
  • Ray optics and optical instruments
  • Semiconductor Devices
  • Semiconductor Electronics: Materials, Devices and Simple Circuits
  • Simple Machines
  • Sound
  • Sources Of Energy
  • Specific and Latent Heats
  • Spherical Mirrors
  • Static Electricity
  • Systems of Particles and Rotational motion
  • Thermal properties of matter
  • Thermodynamics
  • Units and Measurement
  • Vectors, Scalar Quantities and Elementary Calculus
  • Wave Optics
  • Waves
  • Work, Power and Energy

High School Chemistry

  • Acids, Bases and Salts
  • Alcohols, Phenols and Ethers
  • Aldehydes, Ketones and Carboxylic Acids
  • Aliphatic and Aromatic Hydrocarbons
  • Alkyl and Aryl Halides
  • Amines
  • Analytical Chemistry 
  • Atomic Structure
  • Atoms And Molecules
  • Basic concepts of Chemistry
  • Biomolecules
  • Carbon And Its Compounds
  • Carboxylic acids and Acid Derivatives
  • Chemical Bonding and Molecular Structures
  • Chemical Energetics
  • Chemical Equilibria
  • Chemical Kinetics
  • Chemical Reactions And Equations
  • Chemical Reactions and Their Mechanisms
  • Chemistry in Everyday Life
  • Chemistry of p-Block elements
  • Chemistry of Transition and Inner Transition
  • Classification of Elements
  • Coordination Compounds
  • Cyanide, Isocyanide, Nitro compounds and Amines
  • Electrochemistry
  • Electrolysis
  • Elements, Compounds and Mixtures
  • Environmental Chemistry
  • Equilibrium
  • Ethers and Carbonyl compounds
  • Haloalkanes and Haloarenes
  • Hydrocarbons
  • Hydrogen
  • Ideal solutions
  • Introduction to Organic Chemistry
  • Ionic equilibria
  • Matter
  • Matter Around Us
  • Matter In Our Surroundings
  • Metallurgy
  • Metals And Non-Metals
  • Mole Concept and Stoichiometry
  • Natural Resources
  • Organic Chemistry – Basic Principles
  • Periodic Classification of Elements
  • Physical and Chemical Changes
  • Physical and Chemical Properties of Water
  • Polymers
  • Preparation, Properties and Uses of Compounds
  • Principles and Processes of Isolation of Elements
  • Redox Reactions
  • Relative Molecular Mass and Mole
  • States of Matter
  • Structure Of The Atom
  • Study of Compounds
  • Study of Gas Laws
  • Study of Representative Elements
  • Surface Chemistry
  • The d-block and f-block elements
  • The Gaseous State
  • The p-Block Elements
  • The Periodic Table
  • The s-Block Elements
  • The Solid State
  • Thermodynamics

High School Biology

  • Absorption and Movement of Water in Plants
  • Adolescent Issues
  • Anatomy of Flowering Plants
  • Animal Kingdom
  • Bacteria and Fungi-Friends and Foe
  • Biodiversity and Conservation
  • Biofertilizers
  • Biological Classification
  • Biomedical Engineering
  • Biomolecules
  • Biotechnology and its Applications
  • Biotic Community
  • Body Fluids and Circulation
  • Breathing and Exchange of Gases
  • Cell – Unit of Life
  • Cell Cycle and Cell Division
  • Cell Division and Structure of Chromosomes
  • Cell Reproduction
  • Cellular Respiration
  • Chemical Coordination and Integration
  • Circulation
  • Control And Coordination
  • Crop Improvement
  • Digestion and Absorption
  • Diversity In Living Organisms
  • Ecosystem
  • Environmental Issues
  • Excretory Products and their Elimination
  • Flowering Plants
  • Genes and Chromosomes
  • Health and Diseases
  • Health and Its Significance
  • Heredity And Evolution
  • Heredity and Variation
  • How Do Organisms Reproduce?
  • Human Diseases
  • Human Eye And Colourful World
  • Human Health and Disease
  • Human Population
  • Human Reproduction
  • Hygiene
  • Improvement In Food Resources
  • Integumentary System- Skin
  • Kingdom Fungi
  • Kingdom Monera
  • Kingdom Protista
  • Life Processes
  • Locomotion and Movement
  • Microbes in Human Welfare
  • Mineral Nutrition
  • Molecular Basis of Inheritance
  • Morphology of Flowering Plants
  • Neural Control And Coordination
  • Nutrition in Human Beings
  • Organism and Population
  • Photosynthesis
  • Photosynthesis in Higher Plants
  • Plant Growth and Development
  • Plant Kingdom
  • Pollination and Fertilization
  • Pollution; Sources and its effects
  • Principles of Inheritance and Variation
  • Reproduction and Development in Angiosperms
  • Reproduction in Organisms
  • Reproductive Health
  • Respiration in Human Beings
  • Respiration in Plants
  • Respiratory System
  • Sexual Reproduction in Flowering Plants
  • Strategies for Enhancement in Food Production
  • Structural Organisation in Animals
  • Structural Organisation of the Cell
  • The Endocrine System
  • The Fundamental Unit Of Life
  • The Living World
  • The Nervous System and Sense Organs
  • Tissues
  • Transpiration
  • Transport in Plants

High School Math

  • Algebra – Arithmatic Progressions
  • Algebra – Complex Numbers and Quadratic Equations
  • Algebra – Linear Inequalities
  • Algebra – Pair of Linear Equations in Two Variables
  • Algebra – Polynomials
  • Algebra – Principle of Mathematical Induction
  • Algebra – Quadratic Equations
  • Binomial Theorem
  • Calculus – Applications of Derivatives
  • Calculus – Applications of the Integrals
  • Calculus – Continuity and Differentiability
  • Calculus – Differential Equations
  • Calculus – Integrals
  • Geometry – Area
  • Geometry – Circles
  • Geometry – Conic Sections
  • Geometry – Constructions
  • Geometry – Introduction to Euclid’s Geometry
  • Geometry – Three-dimensional Geometry
  • Geometry – Lines and Angles
  • Geometry – Quadrilaterals
  • Geometry – Straight Lines
  • Geometry – Triangles
  • Linear Programming
  • Matrices and Determinants
  • Mensuration – Areas
  • Mensuration – Surface Areas and Volumes
  • Number Systems
  • Number Systems – Real Numbers
  • Permutations and Combinations
  • Probability
  • Sequence and Series
  • Sets and Functions
  • Statistics 
  • Trignometry – Height and Distance
  • Trignometry – Identities
  • Trignometry – Introduction

Middle School Science

  • Acids, Bases And Salts
  • Air and Its Constituents
  • Basic Biology
  • Body Movements
  • Carbon and Its Compounds
  • Cell – Structure And Functions
  • Changes Around Us
  • Chemical Effects Of Electric Current
  • Chemistry in Your Life
  • Coal And Petroleum
  • Combustion And Flame
  • Components Of Food
  • Conservation Of Plants And Animals
  • Crop Production And Management
  • Electric Current And Its Effects
  • Electricity And Circuits
  • Elements and Compounds
  • Fibre To Fabric
  • Food production and management
  • Force And Pressure
  • Forests: Our Lifeline
  • Friction
  • Fun With Magnets
  • Garbage In, Garbage Out
  • Getting To Know Plants
  • Health and Hygiene
  • Heat
  • Hydrogen
  • Life Processes: Nutrition in Animals and Plants
  • Light, Shadows And Reflections
  • Materials: Metals And Non-Metals
  • Matter and Its States
  • Metals and Non-metals
  • Micro Organisms: Friend And Foe
  • Motion And Measurement Of Distances
  • Motion And Time
  • Nutrition In Animals
  • Nutrition In Plants
  • Organization in Living Things
  • Our Environment
  • Physical And Chemical Changes
  • Pollution and conservation
  • Pollution Of Air And Water
  • Reaching The Age Of Adolescence
  • Reproduction In Animals
  • Reproduction In Plants
  • Respiration In Organisms
  • Rocks and Minerals
  • Separation Of Substances
  • Simple Machines
  • Soil
  • Some Natural Phenomena
  • Sorting Materials Into Groups
  • Sound
  • Stars And The Solar System
  • Structure of Atom
  • Synthetic Fibers And Plastics
  • The Living Organisms And Their Surroundings
  • Transfer of Heat
  • Transformation of Substances
  • Transportation In Animals And Plants
  • Universe
  • Waste-water Story
  • Water: A Precious Resource
  • Weather, Climate And Adaptations Of Animals To Climate
  • Winds, Storms And Cyclones

Middle School Math

  • Addition
  • Area and Its Boundary
  • Boxes and Sketches
  • Data Handling
  • Fun With Numbers
  • Heavy and Light
  • How Many
  • Long And Short
  • Mapping
  • Measurement
  • Money
  • Multiplication and Factors
  • Multiply and Divide
  • Numbers
  • Parts and Wholes
  • Pattern Recognition
  • Patterns
  • Play With Patterns
  • Rupees And Paise
  • Shapes And Angles
  • Shapes And Designs
  • Shapes and Space
  • Similarity
  • Smart Charts
  • Squares
  • Subtraction
  • Tables And Shares
  • Tenths and Hundredths
  • Time
Please switch to portrait mode
for the best experience.
Click to open Popup