Learn Icelandic: Við þurfum að meta tjónið á bílnum. - We need to assess the damage to the car.

In English, we say damage "to" something, but Icelandic uses á (on) plus the dative case for this concept. You are literally assessing the damage "on" the car (á bílnum).

This lesson covers spatial adverbs. How would I specify the damage is "to the front" of the car?

You can add að framan right after the noun phrase. The sentence becomes: Við þurfum að meta tjónið á bílnum að framan. These spatial adverbs often follow the noun they describe to specify exactly which part is affected.

Why is bílnum in the dative case here?

The preposition á triggers the dative case when it describes a fixed location or a state of being, rather than movement toward a new destination. Since the damage is already located on the car, the nominative bíllinn becomes the dative bílnum.

Is tjónið (the damage) in the nominative or accusative case in this sentence?

It is in the accusative case because it is the direct object of the verb meta (to assess). Because tjón is a neuter noun, its accusative form with the definite article attached (tjónið) looks exactly the same as its nominative form.