Yes repeating decimals are real numbers.
They can fall under the category of rational numbers under real numbers since their repeating decimal patterns allows them to be converted into a fraction.
Nonreal numbers are imaginary numbers which are expressed with i, or sqrt(-1).
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35 is a repeating number
.833 IS a repeating decimal. This is a rational number as well as it has a repetitive pattern.
no
It could be what is known as an "irrational number", which is a kind of real number. Alternatively, and at a rather advanced level, it could be a number which is not even a real number.
Since 2.33333... is a repeating decimal (or recurring decimal), it is a rational number.