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Zum Beispiel im englischen Satz "Last year I visited Germany.", welchen Fall benutzt man?

Letztes Jahr habe ich Deutschland besucht.

Letztem Jahr habe ich Deutschland besucht.

Ich glaube Nominativ und Genetiv sind ganz falsch, aber ich kann mich nicht zwischen Akkusativ oder Dativ entscheiden.

Welcher ist korrekt und warum?

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up vote 7 down vote accepted

In German, definite time expressions that do not include prepositions use the accusative case.

Nächste Woche mache ich das. I'll do that next week.

Ich hätte die ganze Nacht tanzen können. I could have danced all night.

Wir haben ihn letzten Dienstag gesehen. We saw him last Tuesday.

Indefinite expressions use the genitive (eines Tages = "one day...").

See this Dartmouth webpage for more information about German time expressions, including the above use of the accusative case for definite time expressions:

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The reason is "letzte" is not a preposition, but rather an adjective. If no preposition exists in the sentence, then the accusative case, but also sometimes the genitive case, is used.

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