Luis starts to do a division problem and notices that there is a pattern in the digits to the right of the decimal point.

this number is

1. irrational
2. rational
3. an integer
4. natural

Option: 2 is the correct answer.

                   This number is  Rational.

Rational Number--

A number is said to be a rational number if it could be expressed in the form of p/q where p and q are integers and q is a non-zero number.

Also, the decimal representation of such a number is either terminating( i.e. it ends) or is a repeating decimal i.e. the digits after the decimal repeats themselves i.e. they follow some pattern.

If it is not so then the number is said to be a irrational number.

( Also, the natural number and integers never exist in decimals.

They too come under the category of rational numbers)

                       Hence, the answer is: Rational

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