a rational number is any number that can be written as recurring decimal, and therefore a fraction as well.
e.g. 1/2 = 0.5000000000000... & 1/3 = 0.333333333333... however, 0.101100110001100001... although it can be predicted can not be written as a recurring decimal and is therefore irrational
also, the number 4 = 4.00000000000 and 4/1 therefore is a rational number
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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).