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# Is a natural number always a rational number?

Updated: 4/28/2022 Wiki User

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Q: Is a natural number always a rational number?
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### Is one natural number divided by another natural number always a natural number?

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.

### Are irrational numbers always natural numbers?

No. Rather all natural numbers are necessarily rational number

### A natural number is always a rational number?

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

### Is every rational number a natural number?

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

### Are rational numbers always sometimes or never natural 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.

### Is one half a rational number or a natural number?

Rational: yes. Natural: no.

### Give you a rational number that is a natural number?

All natural numbers are rational numbers.

### Can a natural number be a rational number also?

All natural numbers are rational numbers.

### What is the difference between a rational number and a natural 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

### Is a rational number always a rational 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.

### Is the difference of two natural numbers always a rational number?

No. Example: The difference of 2/5 &amp; 1/3: 2/5 - 1/3 = 1/15 &isin; &#8474; (is a rational number) &notin; &#8469; (is not a natural number).

### Is the product of a rational number and irrational number always rational?

No.A rational times an irrational is never rational. It is always irrational.