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Q: Is a natural number always a rational number?

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No, 4/3 is 1.333333... which is not a natural number. However, any natural number divided by a natural number will always be a rational number. This is due to the definition of a rational number as being able to be expressed as p/q where p and q are integers. Thus, numbers where p and q are natural numbers represent a subset of all the rational numbers.

Yes, it is.

No. 1/2 is a rational number but it is not a natural number.

Rational: yes. Natural: no.

No. Rather all natural numbers are necessarily rational number

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

All natural numbers are rational numbers.

All natural numbers are rational numbers.

Sometimes. A rational number is any number that can be written in the form p/q where p and q are integers but q not = 0. So 3 is a natural number and a rational number because it can be written as 3/1. But 1/3 is a rational number only because it will not reduce to a natural (whole) number.

As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.

a rational number is different from a natural number because a rational number can be expressed as a fraction and natural numbers are just countinq numbers =D

Yes, it is.

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