Ég lími pappírinn á vegginn.

Because líma is the infinitive, meaning to glue or to stick.

In the sentence, the verb is conjugated for 1st person singular present tense:

• að líma = to glue
• ég lími = I glue / I am gluing

So:

• Ég lími = I glue or I am gluing

A lot of Icelandic verbs change their ending in the present tense, and -i is a very common ending for ég forms.

Ég means I.

Yes, in a normal sentence like this, you usually do include it. Icelandic normally expresses the subject pronoun, unlike some languages where it can be left out.

So:

• Ég lími = I glue
• Leaving out Ég would usually sound incomplete unless the context is very special.

In Icelandic, the definite article the is usually attached to the end of the noun instead of being a separate word.

So:

• pappír = paper
• pappírinn = the paper

That ending -inn is the attached definite article here.

This is very common in Icelandic:

• veggur = wall
• veggurinn = the wall

But because of case changes, the form may look a little different in the sentence.

Because the noun is not in the nominative form here. After the preposition á in this sentence, Icelandic uses the accusative.

The basic forms are:

• veggur = wall
• veggurinn = the wall (nominative)
• vegginn = the wall (accusative)

So vegginn is the correct form in:

• á vegginn = onto the wall

This is one of the most important things to get used to in Icelandic: nouns often change form depending on their role in the sentence.

Because á can take different cases depending on the meaning.

Here is the key contrast:

• á + accusative = movement onto something / direction toward a surface
• á + dative = location on something

So:

• Ég lími pappírinn á vegginn. = I glue the paper onto the wall
• Pappírinn er á veggnum. = The paper is on the wall

This is a very common Icelandic pattern with prepositions.

Yes. Pappírinn is the direct object of the verb lími, so it is in the accusative.

In this particular noun, the nominative and accusative definite forms happen to look the same:

• pappírinn = the paper (nominative)
• pappírinn = the paper (accusative)

So even though the case is accusative here, the form does not visibly change.

That can happen in Icelandic: sometimes the case matters grammatically even when the word looks the same.

It can mean either, depending on context.

Icelandic present tense often covers both:

• simple present: I glue
• present progressive: I am gluing

So Ég lími pappírinn á vegginn can mean:

• I glue the paper onto the wall
• I am gluing the paper onto the wall

English makes this distinction more often than Icelandic does.

Usually yes, but context matters.

Pappír can mean paper in the general material sense, and pappírinn can mean the paper. In a sentence like this, it often means something like:

• a sheet of paper
• the paper
• a paper item being glued up

So the Icelandic word overlaps very closely with English paper, though the exact nuance depends on the situation.

A rough pronunciation guide is:

• lí sounds approximately like lee
• mi sounds like mih

So lími is roughly LEE-mih.

A few useful details:

• í is a long vowel, roughly like ee
• Icelandic stress is usually on the first syllable

So the stress is on LÍ: LÍ-mi

A rough English-friendly guide:

• pappírinn ≈ pahp-PEER-inn
• vegginn ≈ VEGG-inn or VEKK-inn depending on how closely you want to imitate Icelandic pronunciation

A few things to notice:

• pp and gg are real doubled consonants in spelling, and they affect pronunciation
• í is like ee
• stress usually falls on the first syllable

You do not need perfect pronunciation right away, but it helps to notice that Icelandic spelling reflects sound patterns more systematically than English.

The dictionary form is veggur, meaning wall.

In Icelandic, nouns are usually listed in the nominative singular in dictionaries. But in real sentences, they often appear in other forms.

So:

• dictionary form: veggur
• form in this sentence: vegginn

Similarly:

• dictionary form: pappír
• form in this sentence: pappírinn

Yes, Icelandic has some flexibility in word order, but the neutral, straightforward order here is:

• Ég lími pappírinn á vegginn.

That is the most natural basic order for a learner.

You may sometimes see other orders for emphasis, especially in more advanced Icelandic, but they are not all equally neutral. If you are starting out, this pattern is the safest:

• subject + verb + object + prepositional phrase

Yes, it is a natural and grammatical sentence.

It sounds like a normal way to say that someone is sticking or gluing paper onto a wall. Depending on context, a speaker might also choose another verb if they mean taping, hanging, or putting up rather than literally gluing, but líma itself is perfectly natural for glue/stick onto.

So as an Icelandic example sentence, it works very well.