Is pi classified as a rational number or irrational number?

Pi is classified as an irrational number. An irrational number is defined as a number that cannot be expressed as a simple fraction, meaning it cannot be represented as a ratio of two integers. Instead, when expressed as a decimal, irrational numbers have non-repeating and non-terminating decimal expansions.

Pi, which is approximately equal to 3.14159, continues infinitely without repeating. This characteristic is what confirms its classification as an irrational number. In contrast, rational numbers can be expressed as a fraction of two integers and either terminate or repeat in their decimal form. Thus, pi does not fit the definition of a rational number, and it also does not qualify as an integer since integers do not include fractions or decimal values. Furthermore, pi does not fit the definition of a terminating decimal as the digits continue without ending or repeating. Hence, it is classified specifically as an irrational number.