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In the sentence

Sie geben den Schülern Hausaufgaben.

i.e. They're giving the students homework

I know that any plural in German is given the feminine article "die" but if "die" becomes "der" in the dative (noting that Schülern is dative above)

Why is the sentence not written as

Sie geben der Schülern Hausaufgaben.

closed as off-topic by πάντα ῥεῖ, David Vogt, peterh says reinstate Monica, guidot, Frank from Frankfurt Feb 13 at 9:19

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5

In short, we're having a plural form here, and »den« is the dative article in plural.

So be aware of singular vs plural articles, and also note that the article »die« has multiple functions, among them nom. (and acc.) fem. sg. article, but also nom. pl. article in any gender. Thus:

  • »die Schülerin» (»the female student«, fem. sg.) becomes »der Schülerin« in dative. So »They're giving homework to the female student« is translated »Sie geben der Schülerin Hausaufgaben.«
  • By contrast, »die Schüler« (note the missing »in«) is the plural of »der Schüler« and becomes »den Schülern« in dative. So even though the nominative article again is »die«, this time it's masc. pl., and so the dative is »den«. That's why »Sie geben den Schülern Hausaufgaben« is indeed correct.

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