Yes because it can be expressed as a fraction in the form of 157/100
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Yes. 2 x 3.14 = 6.28 = 6 7/25 = 157/25 which is rational. If you are using 3.14 as an approximation to {pi}, then 2 x {pi} is not rational.
157 as a binary number is 10011011
As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.
Yes.
Yes, but only if the rational number is 0.