Yes.
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Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.
No. All natural numbers are whole numbers greater than zero. Think of natural numbers as the numbers you count with. 1 2 3 4 5 6... and so on.
There is some disagreement. Some people include zero in the set of natural numbers (like whole numbers), some people don't (like counting numbers).
positive integers
No - the ONLY natural number which has a reciprocal which is also a natural number is "1". All the other reciprocals of natural numbers will be fractions that are less than 1.