All natural numbers are rational numbers.
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20 is both rational and natural. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Every irrational number is NOT a rational number. For example, sqrt(2) is irrational but not rational. A natural number is a counting number or a whole number, such as 1, 2, 3, etc. A rational number is one that can be expressed as a ratio of two whole numbers, which may be positive or negative. So, -2 is a rational number but not a counting number (it is an integer, though). Also, 2/3 is a rational number but not a whole, counting number or a natural number.
Rational: yes. Natural: no.
Yes and it is also a prime number
Any natural number, such as 37, will also be in each of the other categories.