Ordinal numbers refers to numbers in order, e.g. 1st, 2nd, 3rd, 4th and so on.
Cardinal numbers refers to numbers as they are when counting - e.g. 1, 2, 3, 4 etc.
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Where the form is ordinal.
The ordinal numbers in Spanish are:primerosegundotercerocuartoquintosextoseptimooctavonovenodecimo
Integers (whole numbers, such as 1, 2, 3, 15, 16, 17, etc.) are also known as "cardinal" numbers. This is to distinguish them from "ordinal" numbers (first, second third, fifteenth, sixteenth etc.
Ordinal numbers represent placement. First, second, third and so on.
Yes - cardinal numbers are the counting numbers. This is as distinct from ordinal numbers - the corresponding ordinal number for 66 is sixty-sixth.