12.2882057274 is rational, but it is a rational approximation of an irrational number.
Any number that can be expressed exactly as a fraction is rational, and that includes any number that, when written in decimal form, uses a finite number of digits.
However, √151 (the square root of 151), which is approximately 12.2882057274445..., is an irrational number. You could keep getting a closer and closer approximation with more and more digits, but you would never hit it exactly, and you will never end up with a repeating series of digits.
0.80428571428571428571428571... is also a rational number, because, after the 0.80 at the beginning, you have a repeating sequence of 428571. It's a decimal representation of 563/700.
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No. A rational plus an irrational is always an irrational.
rational
It is always irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.