Is 2.9 a Rational Number?

A rational number is always represented as fraction i.e. in the form of p/q, where p and q are integers and q is not equal to zero.The set of all Rational Numbers is denoted by Q. So every integer is a rational number as q is equal to 1. The decimal expansion of a rational number is terminating or repeating,for eg. 3.345,5.87654 are some of the examples showing that the rational numbers terminate after a finite number of digits and the rational number 3.33333... is showing repetition of a finite squence of digits over and over. The numbers which are not rational are called Irrational Numbers.They are non terminating and non repeating.They include π,e and √2. Examples: √2=1.414213562.... e=4.113250379... π=3.141592654... The above mentioned numbers are all irrational numbers as they never terminate and repeat again and again.And there are many more such numbers that are not rational so are called irrational.

Question:Is 2.9 A Rational Number?

Answer:Yes. Because its decimal expansion terminates after 9 and it can also be represented as fraction. Since 29/10=2.9 There are many rational numbers in between two rational numbers as they are dense in nature. For instance, 2.9 is the rational number in between 2 and 3 .