Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
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Any irrational number, such as sqrt(2), pi, e is irrational. There are far more irrational numbers than there are rationals.
Terminating numbers are decimal representations of rational numbers. Nonterminating numbers may or may not be rational numbers.
Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of 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.
all rational numbers can be written as fractions. That is the definition of rational numbers.
There are infinitely many rational numbers between any two rational rational numbers (no matter how close).