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Cardinal numbers are used for counting various objects. They are also called counting numbers or natural numbers.
Let’s learn more about Cardinal Numbers, in detail, including its Examples and Difference from Ordinal Numbers.
What are Cardinal Numbers?
Cardinal Numbers are the numbers that answer the question “How many”.
If we have to find the answer to the question, How many players play for a cricket team, the answer is 11 (eleven) players. Now, 11 (eleven) used here is a cardinal number.
Also, the numbers that are used to specify the position of something, i.e. Position of people standing in a line, the position of students in a class test, etc are called cardinal numbers.
Define Cardinal Numbers
Cardinal numbers are used to count and quantify objects or entities.
Cardinal Number Examples
Cardinal Numbers also called counting numbers include the number that is used for counting and also to answer the questions of “how many” type.
Some of these questions and their answers are as follows:
“How many continents are in the World?”
Answer: Seven(7)
“How many planets are in the solar system?”
Answer: Eight(8)
Here both 7 and 8 are cardinal numbers, as 7 here is used to count the number of continents, and 8 is used to count the number of planets.
Some of the first and consecutive examples of cardinal numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, . . .. We can see here that the smallest cardinal number is 1 as we don’t use 0 for counting.
What is Cardinality?
Cardinality is nothing but the cardinal number of the set, it is nothing but the total number of the elements in the set. For example, for the set A = {even number less than 10} = {0, 2, 4, 6, 8}, then the cardinality of A is 5 i.e., n(A) = 5.
Cardinal Numbers in English
Cardinal Numbers are used to count various things and we also use the cardinal number in the English language as,
- Seven days a Week
- Five Oceans in the World, etc.
Here, Seven and Five are cardinal Numbers used in English.
The First 10(ten) Cardinal Numbers in English are,
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Cardinal Numbers
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Cardinal Number in English
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1
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One
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2
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Two
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3
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Three
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4
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Four
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5
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Five
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6
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Six
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7
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Seven
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8
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Eight
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9
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Nine
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10
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Ten
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Cardinal Numbers from 1 to 100
Cardinal Numbers can be written to infinity which means there are never-ending numbers of cardinal numbers. Cardinal Numbers from 1 to 100 are natural numbers from 1 to 100.
The table added below shows Cardinal Numbers from 1 to 50:
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Cardinal Numbers 1 to 50
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| 1 (One) |
11 (Eleven) |
21 (Twenty-One) |
31 (Thirty-One) |
41 (Forty-One) |
| 2 (Two) |
12 (Twelve) |
22 (Twenty-Two) |
32 (Thirty-Two) |
42 (Forty-Two) |
| 3 (Three) |
13 (Thirteen) |
23 (Twenty-Three) |
33 (Thirty-Three) |
43 (Forty-Three) |
| 4 (Four) |
14 (Fourteen) |
24 (Twenty-Four) |
34 (Thirty-Four) |
44 (Forty-Four) |
| 5 (Five) |
15 (Fifteen) |
25 (Twenty-Five) |
35 (Thirty-Five) |
45 (Forty-Five) |
| 6 (Six) |
16 (Sixteen) |
26 (Twenty-Six) |
36 (Thirty-Six) |
46 (Forty-Six) |
| 7 (Seven) |
17 (Seventeen) |
27 (Twenty-Seven) |
37 (Thirty-Seven) |
47 (Forty-Seven) |
| 8 (Eight) |
18 (Eighteen) |
28 (Twenty-Eight) |
38 (Thirty-Eight) |
48 (Forty-Eight) |
| 9 (Nine) |
19 (Nineteen) |
29 (Twenty-Nine) |
39 (Thirty-Nine) |
49 (Forty-Nine) |
| 10 (Ten) |
20 (Twenty) |
30 (Thirty) |
40 (Forty) |
50 (Fifty) |
The table added below shows Cardinal Numbers from 51 to 100 :
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Cardinal Numbers 51 to 100
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| 51 (Fifty-One) |
61 (Sixty-One) |
71 (Seventy-One) |
81 (Eighty-One) |
91 (Ninety-One) |
| 52 (Fifty-Two) |
62 (Sixty-Two) |
72 (Seventy-Two) |
82 (Eighty-Two) |
92 (Ninety-Two) |
| 53 (Fifty-Three) |
63 (Sixty-Three) |
73 (Seventy-Three) |
83 (Eighty-Three) |
93 (Ninety-Three) |
| 54 (Fifty-Four) |
64 (Sixty-Four) |
74 (Seventy-Four) |
84 (Eighty-Four) |
94 (Ninety-Four) |
| 55 (Fifty-Five) |
65 (Sixty-Five) |
75 (Seventy-Five) |
85 (Eighty-Five) |
95 (Ninety-Five) |
| 56 (Fifty-Six) |
66 (Sixty-Six) |
76 (Seventy-Six) |
86 (Eighty-Six) |
96 (Ninety-Six) |
| 57 (Fifty-Seven) |
67 (Sixty-Seven) |
77 (Seventy-Seven) |
87 (Eighty-Seven) |
97 (Ninety-Seven) |
| 58 (Fifty-Eight) |
68 (Sixty-Eight) |
78 (Seventy-Eight) |
88 (Eighty-Eight) |
98 (Ninety-Eight) |
| 59 (Fifty-Nine) |
69 (Sixty-Nine) |
79 (Seventy-Nine) |
89 (Eighty-Nine) |
99 (Ninety-Nine) |
| 60 (Sixty) |
70 (Seventy) |
80 (Eighty) |
90 (Ninety) |
100 (One Hundred) |
Cardinal Number Chart
A cardinal number chart helps visualize the counting numbers and their corresponding words. Below is a chart listing cardinal numbers from 1 to 100.
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Cardinal and Ordinal Numbers
Cardinal numbers are counting numbers and are used to count various objects, whereas ordinal numbers are numbers that represent the position of anything.
- Examples of cardinal Numbers are 1, 2, 3, 4, 5,… 10, etc.
- Examples of ordinal Numbers are 1st, 2nd, 3rd, 4th, 5th,.. 10th, etc.
Difference between Cardinal and Ordinal Numbers
Difference between Cardinal, Ordinal, and Nominal Number is discussed in the table below,
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Cardinal Numbers Vs Ordinal Numbers
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Cardinal Numbers
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Ordinal Numbers
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| Cardinal numbers are used to represent the counting of anything. |
Ordinal numbers are the numbers that are used to represent the position of anything. |
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The answer to “How many” is given using Cardinal Number.
For example, How many students are in the class?
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The answer to “Where” is given using Ordinal Number.
For example, Where is Kabir standing in the line?
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| Examples of cardinal Numbers are 1, 2, 3, 4, 5,… 10, etc. |
Examples of ordinal Numbers are 1st, 2nd, 3rd, 4th, 5th,.. 10th, etc. |
Cardinal Numbers of a Set
Cardinal Number of a set is the number of elements in the set. For a finite set, if it has N elements then its cardinality is N. For any set A with N elements then its cardinality is N. For empty set A, the cardinality is Zero(0)
Example: Find the cardinality of set A = {1, 3, 5, 7, 9. 11}.
Given,
Set A = {1, 3, 5, 7, 9, 11}
It has six(6) elements.
Thus, the cardinality of set A is 6.
Related :
Frequently Asked Questions on Cardinal Numbers
What are Cardinal Numbers?
The numbers that are used for counting are called the Cardinal numbers. They are also called natural numbers.
What is the Smallest Cardinal Number?
The smallest cardinal number is One(1) as Zero(0) is not used for counting and is thus, not a cardinal number.
What is the Biggest Cardinal Number?
Cardinal numbers are equivalent to natural numbers and are written up to infinity thus, we till now can not write the biggest cardinal number.
How is Cardinal Number Different from Ordinal Number?
Cardinal Number is used to count any object or thing, whereas ordinal numbers are used to represent the position of any object.
What is the Cardinal Number of a Set?
The cardinal number of a set or the cardinality of the set is the total number of elements that the set has.
Are Cardinal Numbers Negative?
No, as we can not count anything negative so negative numbers are not considered cardinal numbers.
Is Zero a Cardinal Number?
No, Zero is not a cardinal number as it does not represent anything while counting thus, it is not a cardinal number.
What is Cardinal Number with example?
A cardinal number is a number that represents the size or quantity of a set. It indicates “how many” elements are in a set. Cardinal numbers are used for counting and ordering objects.
Example: Number of Students in a Class
What are the list of Cardinal Numbers from 1 to 100?
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.
These numbers represent the quantity of items in a set or can be used for counting and ordering objects.
What are Nominal Numbers?
“Nominal number” refers to non-numeric categories or labels used for classification, like colors or gender. It lacks a natural order and is analyzed using methods like counting and mode in statistics.
What are 8 Cardinal Number?
The eight primary cardinal numbers are:
- One
- Two
- Three
- Four
- Five
- Six
- Seven
- Eight
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