Cardinal numbers

Cardinal Numbers in Multiples of 10

Another set of cardinal numbers is given below, representing the multiples of 10.

10 – Ten	60 – Sixty
20 – Twenty	70 – Seventy
30 – Thirty	80 – Eighty
40 – Forty	90 – Ninety
50 – Fifty	100 – Hundred

The above cardinal numbers are commonly used for counting.

Cardinal Numbers 100 to 1000

100	One hundred
200	Two hundred
300	Three hundred
400	Four hundred
500	Five hundred
600	Six hundred
700	Seven hundred
800	Eight hundred
900	Nine hundred
1000	One thousand

Larger Cardinal Numbers

10,000	Ten Thousand
100,000	One hundred thousand
1,000,000	One million
10,000,000	Ten million

The large cardinal numbers are used when a bulk of objects or people or amount has to be represented. For example, the population of a city is 100,000 (one lakh).

Cardinal Numbers of a Set

The number of elements or members in a set is the cardinal number of that set. If A is a finite set and it has elements equal to N. Then the cardinal number of set A is N.
Note: The cardinal number of an empty set is always zero.
For example, set A = {1, 3, 6, 9, 10, 12, 18}, the cardinal number of set A is 7. Hence, n(A) = 7
Thus, the only formula for counting numbers is to find the number of elements of any set.

What is Cardinality?

The cardinality of a group or a set represents how many objects or elements are actually present in a group or in a set.
For example, if a pen-set has 7 pens in it, then the cardinality of pens is 7.

Difference Between Cardinal number and Ordinal Numbers

The ordinal numbers are different from cardinal numbers. Ordinals are the numbers that denote the position of something. If several objects are mentioned in a list, the order of the objects is defined by ordinal numbers. The adjective terms which are used to denote the order of something are 1st, 2nd, 3rd, 4th, 5th, 6th, and so on.
Examples:

1. 
   Anil came to 3rd position in a running competition.
   
2. 
   The 6th chair is broken in a hall.
   

Cardinal Numbers	Ordinal Numbers
They are used for counting purpose	They are used to denote rank or position or order of something or someone
Examples: 1, 2, 3, 5, 6, 10, etc.	Examples: 1st, 2nd, 5th, 6th, 9th, etc
Question type: ‘How many?’ For example: How many balls are there?	Question: ‘Where’ or ‘Which’ For example: Where is this located in the field? Or Which position does it hold in the ground?

Nominal Numbers

The nominal numbers are another type of numbers, different from cardinals and ordinals, used to name an object or a thing in a set of groups. It is used for the identification of something. It is not for representing the quantity or the position of an object.
Examples:

1. 
   Model numbers of Vehicles (Eg, MH-03-1000)
   
2. 
   Pincodes of various cities. (Eg. 481020)