Yes, all integers are rational numbers. A rational number can be expressed as a ratio between two integers; an integer can be thought of as (in this case), 875 / 1.
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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.
Only if the rational number is 0.
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.