I assume you mean "repeating decimal". Yes. For example, 1/6 = 0.166666... after that, the digit "6" repeats over and over again. In other cases, it is more than one digit that repeats, over and over. Note that at first there may be other digits, that don't repeat later on.
In general, any fraction (with integers on top and bottom), if converted into a decimal, will eventually start repeating. Conversely, any repeating decimal can be converted into a fraction.
0.712 repeating is a rational number because it can be expressed as a fraction in the form of 712/999
It is a rational number and expressed as a fraction it is 2/9
Any decimal that can't be expressed as a fraction is an irrational number
Yes, 13.'21' repeating is a rational number because it can be expressed in the form of a fraction as 436/33
Not necessarily. An irrational number is one that cannot be expressed as a simple fraction. But such numbers as one-third (rational) is also a repeating number (0.3333333r).
Yes because it can be expressed as a fraction
2.6666...repeating is a rational number because it can be expressed as a fraction in the form of 8/3
0.712 repeating is a rational number because it can be expressed as a fraction in the form of 712/999
It is a rational number because it can be expressed as a fraction
It is a rational number and expressed as a fraction it is 2/9
It is a rational number because it can be expressed as a fraction.
It is a rational number because it can also be expressed as a fraction
It is a rational number because it can also be expressed as a fraction.
It is a rational number because it can also be expressed as a fraction
No, it is a rational number, as it can be expressed as a fraction, being one third.
Because it can be expressed as a fraction in the form of 38/9
Any decimal that can't be expressed as a fraction is an irrational number