Question

determine if 0.393993999399993999993… is rational or irrational and give a reason for your answer. answer attempt 1 out of 2 the number 0.393993999399993999993… is because

Explanation:

A rational number can be expressed as a fraction of two integers (a ratio) and has either a terminating decimal or a repeating decimal pattern. An irrational number has a non - repeating, non - terminating decimal expansion. The given number \(0.393993999399993999993\ldots\) does not have a repeating pattern (the number of 9s between the 3s is increasing: 1 nine, 2 nines, 3 nines, etc.). So, its decimal expansion is non - repeating and non - terminating.

Answer:

The number \(0.393993999399993999993\ldots\) is irrational because its decimal expansion is non - repeating and non - terminating.