Explanation:
A rational number is any number that we can write as a fraction a/b of two integers. Repeating or recurring decimals are decimal representations of numbers with infinitely repeating digits. Numbers with a repeating pattern of decimals are rational because when you put them into fractional form, both the numerator a and denominator b become non-fractional whole numbers.
Now, consider the following number:
[tex]5.6213131313.....[/tex]
or
This number is a non-terminating decimal. Non- Terminating and repeating decimals are Rational numbers
The overline is an easier, shorter way to indicate infinite decimal expansion without having to write a bunch of repeating numbers. Though repeating digits like this don't seem like rational numbers, they can take the form of rational expressions.
We can conclude that the correct answer is:
Answer:
The given number is a Rational number (R)
