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3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
A repeating decimal is a number expressed in decimal form in which, after a finite number of miscellaneous digits, the number continues with a string of a finite number of digits which repeats itself without end.
Some finite numbers in a set: the number of digits on your hand, the number of seats on a bus, and the number of people on earth. Some infinite numbers in a set: the number of positive integers and the number of digits in pi.
Pi is an irrational number. As such, it has an infinite number of digits.
Any number with a finite number of decimal digits is RATIONAL.