A rational number is a continuous quantity that is a quotient of two integers in which the second integer is a natural number. Rational numbers include the integers as well as non-integers such as fractions and decimals. Rational numbers are the direct result of the arithmetical operation of division.
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No. It is not defined if the rational number happens to be 0.
Because a rational number is DEFINED as a number which can be expressed in that form!
Because that is how a rational number is defined!
The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.
Assuming that the number ends at that third 5, yes, the number is rational - as it has a defined end-point. If the number is equal to 3.245 recurring, then no, the number will not be rational.