Not at all. The class of "natural" numbers are all positive, but the classes
of "real" numbers and "rational" numbers include negative numbers.
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Yes. All positive and negative integers are rational numbers.
4.5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Rational positive numbers
Yes - all whole numbers are rational numbers.
Most of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.