DEFINITION OF WHOLE NUMBERS WITH EXAMPLES  VIDEO  TYPES IN 2024
DEFINITION OF WHOLE NUMBERS WITH EXAMPLES  Let's learn what is the definition of whole numbers in math & what are real whole numbers in Hindi.
Definition of whole numbers with examples 
WHAT IS THE DEFINITION OF WHOLE NUMBERS IN MATH WITH TYPES/PROPERTIES/SYMBOL/DEMO?
Whole numbers are numbers that don’t have fractions or decimals. They’re
just whole numbers. The number 1 is a whole number, as is 2, 3, 4, and so on.
When
you’re working with whole numbers, there are a few things you need to remember.
First, always add the numbers together in order to get the total.
For
example, if you have 1 + 2 + 3 = 6. Second, to subtract one whole
number from another, you need to start with the largest number and count down.
So, if
you’re subtracting 5 – 3, you would start with 5 and count down to 3, which
would give you 2. Lastly, when you’re multiplying or dividing whole numbers,
the order of the numbers doesn’t matter. For example, 3 X 4 is the same as 4 X
3.
WHAT ARE WHOLE NUMBERS?
Whole
numbers are positive integers that start at 1 and go up to infinity.
The set
of whole numbers is {1, 2, 3, 4, 5, ...}.
WHOLE NUMBERS EXAMPLES
Hold
numbers in our day to day life. To count things we use numbers like 1,2,3,4… The collection of these kinds
of numbers like 1234, and so on. We call this collection of numbers as natural
numbers.
We
represent the set of natural numbers
with the letter N.
N= {1, 2, 3, 4..}
So N is the natural numbers 1,2,3,4…. So every natural number has a successor see, for example, 3 has got a
successor 4.
If you
see two it has got a successor 3. And in the same way, the natural numbers that
except one are the natural numbers they have a predecessor three is having two
as a predecessor & 4 is having 3.
But
whereas 1 is having a successor, but it is not having a predecessor number.
Now, if we add zero, the collection of natural
numbers, this is a collection of natural numbers.
N= {1, 2, 3, 4..}
If we
add 0 to the collection, we call this set the natural numbers, add zero with
zero we call it as whole numbers and
we denote it with the letter W.
W= {0, 1,2,3,4..}
So this
is so on. So whole numbers are the set
of natural numbers, zero including zero, we call it as whole numbers. So in
this chapter, we're going to
learn about this whole numbers.
Representation
of whole numbers on the number line –
So
first, let us see a number line. Now first, draw a line and mark a point as
zero on the line now with equal distances onto the right side of the line, keep
on marking till the end of the line.
So we
mark 12345678910 and so on as given below image till N.
Definition of whole numbers with examples 
So this
is the number line we have made. So now we adsorbed the number line here, every
number on this number line has got a successor towards its right side.
So six
is having its successor on the right side 7. So this is a number line drawn
with whole numbers. Now we'll see that addition
of numbers on the number line.
Whole
number by the addition of numbers on the number line
So here
we are going to support numbers using a number line here the initial union is
two plus three.
2+3
So how
to do this using a number line the first digit is 2. So let us start at to go
to the number line and begin from 2 +3.
So that
is we have to move. Now in which direction do we have to move either to the right or
left. Here we have to move towards the right.
Doing
addition, two plus three. So we have to move to the right side from two how many
positions we have to move 2+3. So we have to move 3 positions towards the right
side from 2 starting at two.
Definition of whole numbers with examples 
So now
we reached 5. That means 2 plus 3 equal to 5.
2+3=5
So this
way use the number line to do additions. Let us see the subtraction on a number line.
Let us subtract some whole numbers using a number
line. Subtraction of whole numbers on a number line.
So six
minus two 62 the first digit is six now go to six on the number line two,
minus 2 we have to move two positions on which direction to write or left.
This is
a subtraction we have to move to the
left side if it is addition, right
side subtraction left, how many positions two because it is six minus two
from six towards left two positions.
Definition of whole numbers with examples 
So we
reach 62= 4 is a win subtract whole numbers on a number line.
Multiplication of the whole number with example
multiplication
on numbers like say, for example, 2x4
how to do this multiplication of whole numbers
on number line two into four 2x4.
That
means 2 positions four times 2positions
to the right side. How many times 4 times. So we reached 8.
Definition of whole numbers with examples 
So we
are moving the right side every time to two positions. How many times because it is
2x4. So we got 8. This is a
multiplication of the whole number with an example.
Properties of whole numbers
Let us see 5+7=12.
So here
5 is a whole number. 7 is also a whole Number. 3+4=7, plus
four equal to seven. 3 is a whole number and 4 is the upper so 7 number is that whole number.
So, Here is what do we understand? From these examples? The sum of two whole numbers gives
you so here the sum of any two whole numbers will be a whole number.
So this is one of the properties. Now
let me see out of the number 2x3=6, 2 is a whole number 3 is also a whole number 6 is a whole number.
4X5=20
So here also all the three whole numbers are so
here the product or the multiplication of any two whole numbers multination of the whole number.
So here
in the previous one, we have seen that the sum of any two whole numbers gives
rise to a whole number.
Here
the multiplication of any two whole
numbers gives rise to a whole number. We can get from these two examples we can say that the collection
of whole numbers is put under addition and multiplication, but this is not
possible in subtraction and division.
Subtraction of whole numbers with an example
Let us
see let it let us see here a subtraction 57 five minus seven. If you remove
57. So from five if you remove seven you will get 2.
So
these minus numbers are not the whole
numbers collection of natural numbers and zero.
So this
is not a whole number. So a whole number minus a whole number does not become a
whole number.
Division of whole numbers with an example
Look at Division five divided by two 5÷2. So this is a 5/2 by two, it is not a
whole number.
Whereas
in addition, and in multiplication,
we find that the sum of two whole
numbers becomes a whole number addition, the product of two whole numbers always
becomes a whole number.
3+5=8
5+3=8
Now let
us look at your numbers. Say, for example, three plus five equal to five is
equal to eight. So here we have two examples three plus five equal to eight and
five plus three.
So what
is here the order of this whole number pay is changed. The rest is the same, the
same, but the order is changed here three plus five here five plus three, but
the result is the same.
So the
sum of the whole numbers the ordering paid is changed the sum the value will be
the same. This property is known as commutative property. So the whole numbers are committed to in addition.
Now let
us see multiplication. Two into three equal to six, three into two equal to
six.
2x3=6
3x2=6
Here,
we have two whole numbers multiply your product and hear the same numbers but
the order of the payer even though the order of the pay is changing, the result
is the same.
So the
whole numbers are commutative in the case of multiplication.
Commutative property of whole numbers
Let us
see the addition of two whole numbers
three plus five equal to eight, five plus three equal to eight.
3+5=8
5+3=8
We have
an addition of two whole numbers t plus five. In both the cases the whole
thing, but the pay that is changed here is the same pay three, five, even five,
three, the order is changed.
The
order is changed in the addition of whole numbers, the result will be the same.
So we say that this property is
commutative property.
Here we
say that the addition is commutative in whole numbers. So in whole numbers, the
addition is commutative.
Now let
us look at the multiply 2x3=6, 3x2=6. So here same value of the product. But here
the numbers are changed.
So the
pay order is changing. In the case of multiplication even though the order of the
paid the result is the same it is equally so multiplication is also commutative. Multiplication of whole numbers is
commutative.
So we
can say that addition and multiplication are commutative.
Associativity of whole numbers
Now let us see three plus four plus 523 plus
four seven plus five is equal to 12.
Now the
same arrangement, three plus four plus five.
(3+4)+5=7+5=12
So, the same things can be arranged like –
3+ (4+5) =3+9=12
In the
second case, first four and five we add two three. So we got 12. Both cases
are the same even though here the arrangement and addition is different.
So here
we call this property as associative
property. So in the addition of
whole numbers are associative.
Associatively in multiplication
Now let
us see the associativity in multiplication. Let us see the associativity of
multiplication in whole numbers.
So here
we have three dots in six cells. So three into two columns. The pattern looks
like in below image.
So we
have in every box we have six coins, three coins. So two columns, three coins
into two columns, three coins into twothree into two.
Definition of whole numbers with examples 
6+6+6=18
So this
is the pattern. Here if you look in a different rendering pattern, three
columns, each four, so we write 4x3, sequentially.
Associativity of multiplication for whole numbers
Let us
see the associativity of multiplication
for whole numbers.
Some
dots are arranged in a box as shown in the below image. so this box is having two
columns and three dots has each column
into two.
(3x2) x 4
6x4=24
Kind of
the same here is a different arrangement of four dots in each column as shown
below figure with example.
(4x3) x 2
12x2=24
Definition of whole numbers with examples 
Four
into three or four boxes are there. Three into two into four. In the same way
here two boxes, four into two, three to two total result is 18. So here in both
cases, the answer is the same the value is the same, but the numbers that we are
multiplying at the beginning are different.
Associative property of multiplication for whole numbers
So what is the associative property of
multiplication for whole numbers? So we find that addition and
multiplication are associative over
whole numbers.
Now let
us find this example.
5x9x2x2x3x5
Find
the product of five into nine into two into two into my applying commutative property we change the
order of these numbers
5x2x92x5x3
(5x2) x 9 x (2x5) x 3
10x9x10x3
=90x30
=2700
So now
this is commutative property. We are committed to the property. So now we use the associative property five into two into
nine into two into five into three as an associative property.
So,
this is the associative property five into nine and three second nines 90x30.
so the answer is 2700.
So, in
this way by applying this committee to property and associative property
we could do this multiplication as even a simple and easy way to directly find out
the answer.
FAQs
HOW MANY WHOLE NUMBERS ARE THERE UP TO 100?
If you are searching what are the whole numbers are till 100? So, here I have shared a complete list of the whole number which starts from 0 to 100. Actually, there are 101 whole numbers that are there from 0 to 100.
NOTE As whole numbers are all counting numbers
including zero.
LIST OF WHOLE NUMBERS UP TO 100
0 
51 
1 
52 
2 
53 
3 
54 
4 
55 
5 
56 
6 
57 
7 
58 
8 
59 
9 
60 
10 
61 
11 
62 
12 
63 
13 
64 
14 
65 
15 
66 
16 
67 
17 
68 
18 
69 
19 
70 
20 
71 
21 
72 
22 
73 
23 
74 
24 
75 
25 
76 
26 
77 
27 
78 
28 
79 
29 
80 
30 
81 
31 
82 
32 
83 
33 
84 
34 
85 
35 
86 
36 
87 
37 
88 
38 
89 
39 
90 
40 
91 
41 
92 
42 
93 
43 
94 
44 
95 
45 
96 
46 
97 
47 
98 
48 
99 
49 
100 
50 

HOW CAN YOU USE WHOLE NUMBERS IN YOUR EVERYDAY LIFE?
You can
use whole numbers to measure things, count things, and add or subtract things.
WHAT IS THE IMPORTANCE OF WHOLE NUMBERS?
Whole
numbers are important because they are the foundation for all other types of
numbers. They are the building blocks for all mathematical operations and
concepts.
WHAT HAPPENS WHEN YOU DIVIDE A WHOLE NUMBER BY ANOTHER WHOLE NUMBER?
An
answer is a whole number.
HOW CAN YOU FIND THE SQUARE ROOT OF A WHOLE NUMBER?
There
is no easy way to find the square root of a whole number. However, you can use
a calculator to approximate the square root of a whole number.
WHOLE NUMBERS FROM 0?
Whole
numbers are numbers that have no decimal places. They are the numbers 0, 1, 2,
3, 4, 5, 6, 7, 8, and 9.
WHY IS ZERO A WHOLE NUMBER?
Zero is
a whole number because it can stand alone as a number. It is not a fraction or
a decimal, so it is considered a whole number.
WHAT
ARE THE WHOLE NUMBERS FROM 1 TO 100?
The
whole numbers 1 to 100 are:
{1, 2,
3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 18 , 19 20 , 21 22 , 23 24
, 25 26 , 27 28 , 29 30 , 31 32 , 33 34 , 35 36 37 38 39 40 41 42 43 44 45 46
47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72
73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98
99 100 }
HOW DO I FIND A WHOLE NUMBER?
To find
a whole number, you can use a variety of methods, depending on the type of
number you are looking for.
For
example, if you are looking for a specific number like 42, you
could use a search engine to find it. However, if you are looking for a random
whole number, you could use a random number
generator.
WHAT IS NOT A WHOLE NUMBER?
A whole
number is an integer that is greater than or equal to zero. A number that is
not a whole number is a fraction.
WHAT IS THE PROPERTY OF WHOLE NUMBERS?
The
properties of whole numbers are that they are integers greater than or equal to
zero.
They
have no fractional parts or decimal points, and they cannot be negative.
Some of
the properties of whole numbers include commutativity, associativity, identity,
closure, and distributivity.
WHAT IS 2/3 AS A WHOLE NUMBER?
2/3 is
not a whole number.
WHAT IS THE SMALLEST WHOLE NUMBER?
The
smallest whole number is 0.
IS 13 A WHOLE NUMBER?
Yes, 13
is a whole number.
WHICH IS THE LARGEST WHOLE NUMBER?
There
is no largest whole number.
IS NEGATIVE 1 A WHOLE NUMBER?
No,
negative 1 is not a whole number.
HOW MANY TYPES OF PROPERTIES ARE THERE IN THE WHOLE NUMBER?
There
are 6 types of properties in whole numbers they are –
1. Even
numbers,
2. Odd
numbers,
3. Prime
numbers,
4. Composite
Numbers,
5. Positive
integers
6. Negative
integers.
Even
numbers are those which are divisible by 2. odd numbers are those which are not
divisible by 2. Prime numbers are those
which have only two factors, 1 and the number itself while composite numbers
have more than two factors. Positive integers are greater than zero while
negative integers are less than zero.
WHAT IS THE SYMBOL FOR WHOLE NUMBERS?
The
symbol for whole numbers is the English letter W.
WHAT IS
THE DIFFERENCE BETWEEN WHOLE NUMBERS AND COUNTING NUMBERS?
The
difference between whole numbers and counting numbers is that whole numbers
start at zero, while counting numbers start at one.
This
means that if you're counting objects, you would start at one rather than zero.
WHAT IS THE DIFFERENCE BETWEEN A WHOLE NUMBER AND A FRACTION?
A whole
number is an integer, meaning it has no fractional component. A fraction is a
rational number, meaning it has both an integer component and a fractional
component.
An
integer is a rational number with no fractional component, in other words, a
number that can be represented as an integer time some power of 10.
One way
to think about it is that a whole number is a number that can be represented by
an infinite decimal expansion with no fractional component, while a fraction is
a number that can be represented by an infinite decimal expansion with both an
integer and fractional component.
WHAT IS THE DIFFERENCE BETWEEN DECIMAL AND WHOLE NUMBERS?
Decimal
numbers are numbers that have a fractional component, while whole numbers are
numbers that do not have a fractional component.
DIFFERENCE BETWEEN NATURAL NUMBERS AND WHOLE NUMBERS
Whole
numbers are all natural numbers including 0/ZERO.
ADDITION OF WHOLE NUMBERS
We can
add whole numbers by aligning them according to place value and then summing up
the digits in each place.
To add
two whole numbers with different place values, we need to line them up on a
number line so that the one's digits are lined up, the tens digits are lined up, and so forth. This will ensure that the digits are in their correct places
before we start adding.
Adding
two whole numbers is straightforward. If the numbers being added have the same
place value, then we simply need to sum those digits and carry them over to the next
column if necessary.
If one
of the numbers has a larger place value than the other, we can align them such
that only their least significant digits (one's digit) are lined up. The rest of
that number is shifted by the appropriate amount so that it is correctly
aligned with its counterpart from the other number. Once again, we add only
those digits in each column and carry over where needed:
SUBTRACTION OF WHOLE NUMBERS
The algorithm for subtracting whole numbers from one another is instead based on addition. We subtract by first reversing subtraction into addition, then adding, and finally reversing back into subtraction once more.
This assumes you already
know how to subtract two whole numbers without utilizing a number line
(borrowing or regrouping). Subtracting using a number line can be done, but
this doesn’t lend itself well to longer equations so hope you've practiced your
subtraction without a number line! Read the rest of the lessons below to see
just how this is done!
In the algorithm to subtract one whole number from another, you first find their difference
by adding them and reversing the sign. Once you have this difference, you can
follow the algorithm for subtraction given in the additive functions
sublesson. For example: 4  8 = 9  8; 8 + (4) = 4  8 = 11  4 = 16  11.
Here’s a sample algorithm (using list form).
Conclude Here I have explained in full detail about what
is the definition of whole numbers with examples, how
many whole numbers are there what are the properties of whole numbers in
English with a Hindi live video for beginners who are in any class in 2023.