The counting numbers start at one. Some people start the natural numbers at zero.
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Whole numbers are the set of natural or counting numbers inclding zero
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You don't "count with fractions". Counting is done with natural numbers.
Numbers are infinite, as a matter of fact counting decimals there are a infinite amount of numbers between 0 and 1. So depending on what you mean with natural numbers no, there is no natural last number.
The set of natural numbers or counting numbers N is a subset of the set of real numbers R. N = {1, 2, 3, ...) R = {..., -2, -1, -0.5, 0, 1, √2, 2, 3, π, ...}