Bagagekvitteringen er vigtig.

Because Danish, like English and especially German, often forms compound nouns by joining words together.

Here:

• bagage = baggage/luggage
• kvittering = receipt

So bagagekvittering means baggage receipt or luggage receipt, and bagagekvitteringen means the baggage receipt.

In Danish, these compounds are normally written as one word, not two.

The -en is the definite article attached to the noun. It corresponds to English the.

So:

• en bagagekvittering = a baggage receipt
• bagagekvitteringen = the baggage receipt

Instead of putting a separate word before the noun, Danish often adds the definite article to the end of the noun.

Because in Danish, the definite article is usually a suffix, not a separate word.

So English says:

• the receipt

But Danish often says:

• kvitteringen

The -en already includes the meaning of the.

Bagagekvittering is a common gender noun in Danish.

Danish has two grammatical genders:

• common gender
• neuter

This matters because gender affects:

• the indefinite article (en or et)
• adjective endings in some contexts

Since bagagekvittering is common gender, you say:

• en bagagekvittering

not:

• et bagagekvittering

Because bagagekvitteringen is singular common gender, and the adjective is being used predicatively after er.

In this pattern:

• common gender singular → vigtig
• neuter singular → vigtigt
• plural → vigtige

So:

• Bagagekvitteringen er vigtig.
• Brevet er vigtigt. = The letter is important.
• Billetterne er vigtige. = The tickets are important.

Because in predicative position (after verbs like er), Danish adjectives agree mainly with gender and number, not with definiteness in the same way as they do before a noun.

Compare:

Before a noun:

• den vigtige kvittering = the important receipt

After a verb:

• kvitteringen er vigtig = the receipt is important

So even though kvitteringen is definite, the adjective after er stays vigtig, not vigtige.

Er is the present tense of at være, which means to be.

So:

• jeg er = I am
• du er = you are
• han/hun er = he/she is
• bagagekvitteringen er vigtig = the baggage receipt is important

It works very much like English is/are/am, except Danish uses er for all persons in the present tense.

This sentence has the normal Danish order for a simple statement:

• Subject: Bagagekvitteringen
• Verb: er
• Complement: vigtig

So it is basically:

• The baggage receipt
  • is
    • important

That is very similar to English.

A rough guide is:

• bagagekvitteringen ≈ ba-GAH-zhe-kvi-te-rin-en
• er ≈ air or a very short relaxed er
• vigtig ≈ VIG-ti

A few helpful notes:

• g in bagage is soft, sounding a bit like the s in measure
• Danish pronunciation is often softer and more reduced than spelling suggests
• the stress is usually strongest somewhere in the main parts of the compound, especially around -te-RING- in kvittering

A learner does not need perfect pronunciation right away; being understood matters most.

The base dictionary form is bagagekvittering.

Related forms are:

• en bagagekvittering = a baggage receipt
• bagagekvitteringen = the baggage receipt
• bagagekvitteringer = baggage receipts
• bagagekvitteringerne = the baggage receipts

So if you look it up in a dictionary, you would usually search for bagagekvittering.

You might be understood, but bagagekvittering is the more natural Danish compound form.

Danish strongly prefers compound nouns in cases like this:

• bagagekvittering
• togbillet
• pasfoto
• arbejdsplads

So for natural Danish, bagagekvittering is the better choice.

Here, bagage is more like an uncountable noun, similar to English baggage or luggage. It is not really the kind of word you usually count directly.

In the compound bagagekvittering, it simply describes what kind of receipt it is: a receipt connected to baggage.

So you do not need to think of it here as singular vs. plural; it is just the first part of a compound noun.

Yes. It is a perfectly natural, simple sentence.

You might hear it in situations like:

• at an airport
• at a train station
• when checking luggage
• in travel instructions

It sounds like a straightforward statement, similar to English The baggage receipt is important.

You would change both the noun and the adjective:

• Bagagekvitteringerne er vigtige. = The baggage receipts are important.

Changes:

• bagagekvitteringen → bagagekvitteringerne
• vigtig → vigtige

That is because the subject is now plural.

You would say:

• En bagagekvittering er vigtig.

Compare:

• En bagagekvittering = a baggage receipt
• Bagagekvitteringen = the baggage receipt

So the difference is mainly:

• en for indefinite
• -en attached to the noun for definite

No. Danish does not capitalize all nouns.

So:

• Bagagekvitteringen er vigtig.

Only the first word of the sentence is capitalized here because it begins the sentence, not because it is a noun.

If the noun appeared in the middle of a sentence, it would normally be lowercase:

• Jeg har mistet bagagekvitteringen. = I have lost the baggage receipt.