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
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Examples of numbers that are not rational:
sqrt(2), pi, exp
they are irrational as they cannot be expressed as fractions.
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Irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
It will be irrational.
No.A rational times an irrational is never rational. It is always irrational.
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).