An integer is a whole number (not a fraction) that can be positive, negative, or zero. A member of the set of positive whole numbers {1, 2, 3, . . . }, negative whole numbers {−1, −2, −3, . . . }, and zero {0}.
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The definition of an irrational number is that it cannot be expressed as the quotient of 2 integers, so no.
It is an incomplete definition of a rational number.
Probably because that's more or less the definition of "rational number": a number that can be expressed as a ratio of integers.
Even numbers are always integers, by definition.
There are two conflicting definitions of a "natural number": these are "The set of positive integers", or "The set of non-negative integers".According to the first definition, the list of positive integers does not include 0. However, according to the second definition, this does include zero.