Well, sweetheart, a rational number is any number that can be expressed as a fraction, and 0.18 is no exception. You can write 0.18 as 18/100, which can be simplified to 9/50. So, yeah, 0.18 is rational, just like your decision to ask me this question.
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Any terminating or non-terminating decimal digit is rational.
The easiest way to look at this is, writing the number in the fractional from.
0.18 can be written as 18/100.
Now, by the definition of a rational from, 18/100 is of the standard "p/q" from where q is not equal to 0 (q=100 here).
Thus, it is a rational number.
yes
Yes.
yes
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Yes. Any rational number divided by another rational number is also rational.