Let $\mathcal{A}$ be a Banach algebra and $X$ be a Banach$\mathcal{A}-$bimodule. We study the notion of approximate $n-$idealamenability for module extension Banach algebras $\mathcal{A}\oplusX$. First, we describe the structure of ideals of this kind ofalgebras and we present the necessary and sufficient conditions fora module extension Banach algebra to be approximately n-ideallyamenable. پرونده مقاله