Numbers starting with 1, 2, 3, …. are Natural numbers and Numbers starting with 0, 1, 2, 3,…. are Whole Numbers.
Zero is the only difference and there is “No Zero” in Natural Numbers. Zero represents too few or negligible or absence of things and numbers refers to presence of something and 1, 2, 3,… is used for counting the number of things available.
Since there is no zero in Natural Numbers, is 10 a natural number?
While counting with 1, 2, 3, 4, 5, 6, 7, 8, 9 in natural numbers, since there is NO ZERO, counting takes the form of grouping.
Big Group G1 = [group 1=(1..9) group 2=(1..9)…group 9=(1..9)]
In Tamil, kooru is a way of grouping fruits and vegetables for selling. It is very difficult to identify the specific item (for eg., Big Group G1-> small group 3->4th item)
Each number has got its own value from unity (1) to Maximum (9).
After the invention of Zero in whole numbers, naming the items with unique numbers became possible using the place value system. With the Zero and the Natural numbers become Whole (Complete). It allows to identify uniquely and count infinitely with whole numbers (10 numbers, 0,1,2…9).
10 is just a representation in place value system
Decimal system 10 = 1 ten and 0 unit (value 10)
Binary system 10 = 1 two and 0 unit (value 2)
Octal system 10 = 1 eight and 0 unit (value 8)
Hexadecimal 10 = 1 sixteen and 0 unit (value 16)
The value of 10 varies with respect to various systems and hence cannot be considered as number similar to other 1..9 numbers.
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