Við eigum að gera heimalærdóminn eftir prófið.

Questions & Answers about Við eigum að gera heimalærdóminn eftir prófið.

Why does eigum mean "are supposed to" here instead of "own"?
The verb eiga literally means "to own". However, when you use eiga + að + an infinitive verb (like gera here), it creates a modal phrase meaning "to be supposed to" or "ought to". It implies an expectation rather than a strict obligation like þurfa (need to) or verða (must).
Why is the word for homework heimalærdóminn and not heimalærdómur?
Heimalærdómur is a masculine noun. In this sentence, it is the direct object of the verb gera (to do), so it drops the -ur ending to become the accusative form heimalærdóm. Then, we add the accusative masculine definite article -inn to the end to mean "the homework".
Why is it eftir prófið instead of eftir prófinu?
The preposition eftir takes the accusative case when it refers to time or sequential events (meaning "after"). Because próf (exam) is a neuter noun, its accusative form with the attached "the" article is prófið. If it required the dative case, it would be prófinu, but the accusative is used for time here.
How is the word heimalærdóminn built?
The base word is a compound of two words you likely already know: heima meaning "at home" and lærdómur meaning "learning" or "study". So it literally translates to "at-home learning"!

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