People often confuse ordinal numbers with cardinal numbers and that is why it is necessary to understand the difference between both numbers as well as understand where cardinal numbers are important and where ordinal numbers are important.
Cardinal Numbers
Cardinal numbers tell us the exact quantity of anything. In simple words, if you look at any object and have a question, "How many?", the answer will be in cardinal numbers. For example, let's say you have five marbles, the value five will be the cardinal number because you are telling the quantity of the object (which is the marble in this scenario).
Ordinal Numbers
Ordinal numbers are the opposite of cardinal numbers. Cardinal numbers describe the quantity of the object, on the other hand, ordinal numbers tell the position of the object. For example, you parked a car in the parking lot. When you came back, you see four more cars in the same row where you parked your car. Now you will try to remember the position of the car. Let's say you parked the car in the fifth row, hence the value fifth is the ordinal number, and the value four is the cardinal number. A few more examples, fourth year, first floor, tenth color, four-hundredth row, etc. first eleventh tenth one hundredth second twelfth twentieth two hundredth third thirteenth thirtieth three hundredth fourth fourteenth fortieth four hundredth fifth fifteenth fiftieth five hundredth sixth sixteenth sixtieth six hundredth seventh seventeenth seventieth seven hundredth eighth eighteenth eightieth eight hundredth ninth nineteenth ninetieth nine hundredth thousandth ten thousandth hundred thousandth millionth twenty-first thirty-first forty-first twenty-second thirty-second forty-second twenty-third thirty-third forty-third twenty-fourth thirty-fourth forty-fourth twenty-fifth thirty-fifth forty-fifth twenty-sixth thirty-sixth forty-sixth twenty-seventh thirty-seventh forty-seventh twenty-eighth thirty-eighth forty-eighth twenty-ninth thirty-ninth forty-ninth
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I’m afraid this article (on cardinal numbers) has an unfortunate error. Zero must be considered a cardinal number. The definition of a cardinal number given by the Penguin Dictionary of Mathematics is “A number that indicates the number of elements in a set.” It also defines a null set or empty set containing no elements. The cardinality of this set is 0.