Step-by-step explanation: Notice that the decimal in this problem does not terminate. Therefore, in order to decide whether it's rational or irrational, we need to determine whether the decimal is a repeating decimal.
Since there seems to be no pattern fore the digits in this decimal, we say that the decimal is non-repeating.
When a decimal is both non-repeating and non-terminating, it's classified as an irrational number.
One irrational number is π, also known as pi. A rational number is one that can be written as a ratio of two integers (whole numbers). Pi goes on forever, so it can't be written as a ratio. Therefore, π is irrational.
