Et godt eksempel hjælper hende med at huske betydningen af det svære ord.

Because eksempel is a neuter noun in Danish. Danish nouns have two grammatical genders:

• common gender: takes en
• neuter gender: takes et

So:

• et eksempel = an example
• not en eksempel

This is something you usually have to learn with each noun.

Because adjectives in Danish must agree with the noun.

Here, eksempel is neuter singular indefinite, so god becomes godt:

• en god bog = a good book
• et godt eksempel = a good example

So the -t ending appears because the noun is neuter.

Because hende is the object form of the pronoun, while hun is the subject form.

• Hun husker ordet. = She remembers the word.
• Det hjælper hende. = It helps her.

In this sentence, she is receiving the action of hjælper, so Danish uses hende.

This is a very common Danish pattern:

• hjælpe nogen med at + infinitive

It means help someone to do something or help someone with doing something.

So:

• hjælper hende med at huske
  = helps her remember

Breakdown:

• hjælper = helps
• hende = her
• med at huske = literally with to remember, but naturally remember / to remember

In English, we usually do not say helps her with to remember, but Danish often uses med at in this structure.

Yes, you may sometimes see hjælpe nogen at gøre noget, but hjælpe nogen med at gøre noget is very common and natural.

So:

• Det hjælper hende med at huske = very natural
• Det hjælper hende at huske = also possible in some contexts, but learners will hear med at very often

Using med at is a safe and useful pattern to learn.

Because the sentence means the meaning, not just meaning in general.

Danish usually forms the definite noun by adding the definite ending to the noun:

• betydning = meaning
• betydningen = the meaning

So at huske betydningen means to remember the meaning.

This is different from English, where the is separate. In Danish, the definiteness is often attached to the noun itself.

Because Danish uses af to express of in this kind of phrase:

• betydningen af ordet = the meaning of the word

So:

• betydningen = the meaning
• af det svære ord = of the difficult word

This is a very common structure in Danish:

• navnet på byen = the name of the city
• slutningen af filmen = the ending of the film
• betydningen af ordet = the meaning of the word

Because adjectives change differently in the definite form.

Compare:

• et svært ord = a difficult word
• det svære ord = the difficult word

Rule:

• indefinite neuter singular: adjective often gets -t
• definite: adjective usually gets -e

So:

• svær → svært with et
• svær → svære with det

That is why the sentence says det svære ord.

Because in Danish, a definite noun phrase with an adjective usually has double marking of definiteness:

• a definite article before the adjective: det
• the adjective in the definite form: svære

So Danish says:

• det svære ord

not just:

• svære ord
• and not det svært ord

This is very typical in Danish:

• den røde bil = the red car
• det store hus = the big house
• de gamle bøger = the old books

The sentence has normal main clause word order:

• Et godt eksempel = subject
• hjælper = finite verb
• hende = object
• med at huske betydningen af det svære ord = prepositional/infinitive phrase

So the structure is basically:

Subject + verb + object + rest

Also, Danish main clauses follow the V2 rule: the finite verb usually comes in the second position. Here the subject is first, so the verb naturally comes right after it.

Because grammatical gender in Danish belongs to each noun individually. It does not depend on meaning in a logical way.

So:

• en betydning
• et ord
• et eksempel

You cannot reliably guess gender from English. It is best to learn nouns together with their article:

• et ord
• et eksempel
• en betydning

That makes agreement much easier later.

It is mainly a grammatical spelling change, but yes, the pronunciation changes too because the ending is different.

The important thing for a learner is to recognize the grammar:

• svær = base form
• svært = neuter singular indefinite
• svære = definite / plural form in many cases

Even if pronunciation takes time, noticing these patterns will help you read and build sentences correctly.

Yes, that is a very good way to learn it. You can divide it like this:

• Et godt eksempel = a good example
• hjælper hende = helps her
• med at huske = to remember / with remembering
• betydningen af det svære ord = the meaning of the difficult word

Learning common chunks like hjælpe nogen med at... and betydningen af... will make Danish feel much more natural.