If a number consists of a series of non repeating and non terminating digits then it is irrational.
A particularly well known example is that of pi (which is an irrational number representing the proportion between the diameter of a circle and its circumference).
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Not at all. 0.33333... nonterminating = 1/3 rational 0.66666... nonterminating = 2/3 rational 0.1428571428... nonterminating = 1/7 rational 0.55555... nonterminating = 5/9 rational
Whole numbers contain no fractional part as do decimals
Yes
Because they do not contain decimals
The quotient of 5 and negative 30 is both. Rational numbers and integers include many of the same numbers. Integers are positive and negative counting numbers, but rational numbers include nonrepeating decimals and fractions.