All integers are rational numbers - as every rational number can be expressed as n/1.
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Irrational numbers is any number which cannot be written down. By this, it is infinite, and has no end. Pi is a never ending number, and is irrational. 1/3 is .333... and never ends. This is an irrational number as well.
333 is an odd number - it is indivisible by 2. 333/2 = 166.5
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.