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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

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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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Q: Is 13.001001001 a rational or irrational number and why?
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