Integer is a noun meaning any member of a set of positive whole numbers i.e. 1,2,3..., negative whole numbers i.e. -1,-2,-3..., and zero. Derived from Latin "whole" "entire".
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An integer and a whole number are the same, by definition.
An integer is a whole number. Adding a integer would just mean to add a whole number.
Yes, always. That is the definition of a rational number.
yes it can All perfect squares are rational numbers as the definition of a perfect square is a number which is the product of an integer with itself. An integer is a rational number, and multiplying an integer by an integer produces another integer.