Yes, they can.
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Most of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.
They are the infinite number of rational numbers between 0 and +6
Not at all. The class of "natural" numbers are all positive, but the classes of "real" numbers and "rational" numbers include negative numbers.
It is because of the way in which positive and negative numbers are defined.
Yes. All positive and negative integers are rational numbers.