They are every number you can possibly get when you divide one positive whole number
by another one, or one negative whole number by another one.
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Not at all. The class of "natural" numbers are all positive, but the classes of "real" numbers and "rational" numbers include negative numbers.
Rational positive numbers
Most of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.
Yes, they can.
4.5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.