Question

What subset does 17/4573 belong to

Answer 1

I believe that that is an irrational number. It appears to go on without ending and without repeating.

Answer 2

The number 17/4573 is an Irrational number as well as real number.

Explanation:

Consider the provided number 17/4573

Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.

Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.

Real numbers: All rational and Irrational numbers are called real number.

Now consider the number 17/4573

The decimal expansion of the number 17/4573 is 0.00371747211...

Here, the decimal expansion of the number is neither terminating nor periodic. Thus the number is irrational number.

According to definition of real number, all irrational numbers are real number thus, the provided number is real number.