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A rational number is a number that can be expressed as a fraction. This means it can either be a terminating decimal or a recurring decimal. A terminating decimal is a decimal that doesn't recur (repeat for ever). A recurring decimal is a decimal that repeats a pattern of numbers after the decimal point. A good example of this is 1/3. 1/3 = 0.333333.... it is a rational number 13.001001001 is a rational number. Either you meant it to recur or not it makes no difference. 13.001001001 = 13 + 1001001/1000000000 as a terminating decimal 13.001001001....... = 12988/999 as a recurring decimal ---- Examples of numbers that are not rational: sqrt(2), pi, exp they are irrational as they cannot be expressed as fractions.
Rational numbers are the numbers that can be written in the form p/q, where both are integers and q does not equal zero. Any integer number is rational, as are all decimals that recur, but only if there is a pattern to their recurrence. Pi, e and root 2 are all irrational, since there is no pattern to how they recur.
The verb for repetition is repeat. As in "to repeat something or someone".