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I am not sure what you mean by the number system failing. One possible failure is Godel's incompleteness theorems. According to the first of these, in any consistent system of axioms whose theorems can be listed by an effective procedure is not capable of proving all truths about the arithmetic of the natural numbers. In any such system there will always be statements about the natural numbers that are true, but that are cannot be proved within the system. The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.
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Why is the least whole number with 6 digits greater than the greatest whole number with 5 digits?
Because in our system of numbers 100,000 is greater than 99,999.
What is a product of a given whole number and another whole number?
The product of a whole number and another whole number is a whole number.
Is -6.7 a whole number?
Yes,0,1,2,3..... Are whole numbers
A whole number greater than one with more than 2 fractions?
It could be with factors 1, 2 and 4 assuming that "fractions" is your fail at writing factors.
Is 7 a whole number for 54?
No. 7 is a whole number and 54 is a whole number but 7 is not "a whole number for" any number.
