why is pi a irrational number

responses

it is a terminating decimal
it is a terminating decimal

it is a nonterminating decimal, repeating decimal
it is a nonterminating decimal, repeating decimal

it is a nonterminating decimal, nonrepeating decimal and cannot be written as a fraction
it is a nonterminating decimal, nonrepeating decimal and cannot be written as a fraction

it can be written as a fraction
it can be written as a fraction

1 answer

Pi is actually an irrational number because it is a nonterminating decimal, nonrepeating decimal and cannot be written as a fraction. The decimal representation of pi goes on forever without repeating, and it cannot be expressed as a fraction or ratio of two integers. It is an important mathematical constant and is commonly approximated as 3.14159.