Arthur D. answered 08/23/17
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a rational number is any number that can be put in the form a/b where a and b are integers and b≠0
any rational number, a/b, when expressed as a decimal, is either terminating or repeating
examples: 3/4=0.75, 8/11=0.727272...
an irrational number is a number that cannot be expressed in the form a/b
in other words, an irrational number is a non-ending (does not terminate) and non-repeating (no sequence of digits repeat themselves over and over again) decimal
some examples are √2, √3, √5, √6, √7, ∏ (pi which is 3.14159265...), and e, called Euler's number (e=2.71828182845...)