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integers
Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of rational numbers.
1/2, 5/8, and 6/7 are some. Rational numbers are numbers that can be represented as fractions, so there are practically unlimited numbers of them.
Terminating numbers are decimal representations of rational numbers. Nonterminating numbers may or may not be rational numbers.
There are infinitely many rational numbers between any two consecutive rational numbers. This is because rational numbers can be expressed as fractions, and between any two fractions, an infinite number of other fractions can be found by taking the average of the two given fractions. Therefore, the set of rational numbers is dense, meaning there is no smallest gap between any two rational numbers.