Elregningen er høj.

Because Danish usually writes compound nouns as a single word.

• el = electricity
• regning = bill
• elregning = electricity bill

Then the definite ending is added to the whole compound:

• elregning = an electricity bill
• elregningen = the electricity bill

This is very common in Danish. English often uses separate words where Danish prefers one compound word.

The ending -en is the definite article for many singular Danish nouns of common gender.

So instead of using a separate word like English the, Danish often adds the definiteness to the end of the noun:

• en regning = a bill
• regningen = the bill

The same happens in the compound:

• en elregning = an electricity bill
• elregningen = the electricity bill

So -en here means the.

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

So:

• jeg er = I am
• du er = you are
• den er = it is

In Elregningen er høj, er simply means is.

Danish adjectives often change form to match the noun.

Here, regning is a common gender singular noun, so the adjective stays in its basic form:

• en høj regning = a high bill
• Regningen er høj = The bill is high

Compare:

• et højt beløb = a high amount
  
  • beløb is a neuter noun, so the adjective gets -t
• Regningerne er høje = The bills are high
  
  • plural usually takes -e

So in this sentence, høj is correct because the subject is singular and common gender.

Yes. Høj can mean both high and tall, depending on context.

In this sentence, it means high in the sense of cost or amount. Danish uses høj naturally for things like prices, bills, taxes, and numbers.

Examples:

• Prisen er høj = The price is high
• Skatten er høj = The tax is high
• Elregningen er høj = The electricity bill is high

So this is not about physical height.

Because Danish often puts the at the end of the noun instead of using a separate word before it.

English:

• the bill

Danish:

• regningen

With compounds, the ending still goes on the final noun:

• elregningen

There are cases in Danish where a separate definite word appears too, but in a simple sentence like this, the ending on the noun is the normal pattern.

Grammatically yes, but it means something different.

• Elregningen er høj = The electricity bill is high
  
  • a specific bill, probably one already known in the conversation
• En elregning er høj = An electricity bill is high / one electricity bill is high
  
  • more indefinite, less natural in many everyday contexts unless you are making a general point or introducing it for the first time

So if you mean a particular bill, elregningen is the natural choice.

A rough learner-friendly pronunciation is:

• elregningen ≈ el-rye-ning-en
• høj ≈ hoy

A few notes:

• The g in regning is not pronounced like a hard English g
• The r is Danish, so it will not sound like a strong English r
• høj has a vowel sound that may feel unfamiliar at first

If you want to sound natural, it is best to listen to native audio, because Danish pronunciation is often less phonetic than the spelling suggests.

This sentence has the basic Danish main-clause word order:

• Subject + verb + complement
• Elregningen
  • er
    • høj

So it works like English The electricity bill is high.

One important Danish rule is that the finite verb usually comes in second position in main clauses. In this simple sentence, that gives the same order as English. But if something else comes first, the verb still stays second:

• I år er elregningen høj = This year, the electricity bill is high

So this sentence is simple, but it still follows an important Danish pattern.

Yes. Depending on context, you might also hear:

• strømregningen = the electricity bill
• elregning / strømregning in indefinite form

Both el and strøm can relate to electricity in everyday Danish. Elregningen is perfectly natural, but strømregningen is also common in speech.

The exact choice can depend on region, habit, and context.