Question

Determine if 0.4744335042096347... is rational or irrational and give a reason for your answer.

Answer 1

Answer:  Irrational

Explanation:

Based on what is shown so far, there isn't any clear pattern of the digits. And the digits don't seem to repeat. Because of this, it's very likely that the number is irrational.

If in contrast we had something like 0.47474747, where the "47"s repeat forever", then it would be rational. We would be able to use algebra to show that 47/99 = 0.4747474747...