Counting numbers are a proper subset of whole numbers which are the same as integers which are a proper subset of rational numbers.
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The set of integers is a proper subset of the set of rational numbers.
A rational number is one which can be expressed as a ratio of two integers.
They are all numbers
No. There are infinitely many rational numbers between any two integers.
An integer is a whole number: a countng number, zero or a negative counting number. That is, an element of the set {..., -3, -2, -1, 0, 1, 2, 3, ...}. A rational number is one that can be expressed in the form x/y where x and y are integers, and y is not zero.