The following real number is expressed in decimal form. Determine whether it is rational or not. If it is rational,express it in the form of $\frac{p}{q}$. $0.02003000400005 \ldots$

(N/A) The decimal expansion $0.02003000400005 \ldots$ is non-terminating and non-recurring.
Since a number is rational if and only if its decimal expansion is either terminating or non-terminating repeating,this number does not satisfy the condition.
Therefore,$0.02003000400005 \ldots$ is an irrational number.