-- Any number that can be completely written down using digits is a
rational number.
-- A rational number is defined as any number that can be represented
as the ratio of two whole numbers. 7,777 is the ratio of 7,777 to 1 .
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Yes.
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It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Yes. Any rational number divided by another rational number is also rational.