yes
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Not necessarily. An irrational number is one that cannot be expressed as a simple fraction. But such numbers as one-third (rational) is also a repeating number (0.3333333r).
There are more irrational numbers in that interval than there are rational numbers in total!
No.
No. It is 1/pi where pi is the irrational number which is approximately equal to 3.14159
No. 27 to the third power is a regular whole number.