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

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.

Pi is an irrational number because it is a nonterminating decimal, nonrepeating decimal and cannot be written as a fraction. It cannot be expressed as a simple fraction or ratio of two integers. Its decimal representation goes on forever without repeating a specific sequence of digits. This property of being unable to be expressed as a fraction makes pi irrational.

Pi (π) is an irrational number because it is a nonterminating decimal, nonrepeating decimal and cannot be written as a fraction.

To understand why pi is irrational, we need to know what it means for a number to be irrational.

An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers. In other words, there is no finite or repeating pattern in the digits after the decimal point.

Pi is an important mathematical constant that represents the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14159. However, the decimal representation of pi goes on infinitely without repeating or terminating.

There have been many attempts to approximate pi using fractions, but none have been successful in finding an exact representation. It is a fascinating mathematical fact that pi is infinitely non-repeating and non-terminating, making it an irrational number.