Ich falte die Handtücher sofort, damit das Bad ordentlich aussieht.

Because damit das Bad ordentlich aussieht is a subordinate clause introduced by damit.

In German, a conjugated verb normally goes to the end of a subordinate clause. So:

• damit = subordinating conjunction
• das Bad = subject
• ordentlich = adjective
• aussieht = verb, placed at the end

Compare:

• Main clause: Das Bad sieht ordentlich aus.
• Subordinate clause: ..., damit das Bad ordentlich aussieht.

That change in word order is very common in German.

Here damit means so that or in order that.

The sentence says:

• Ich falte die Handtücher sofort = I’m folding the towels right away
• damit das Bad ordentlich aussieht = so that the bathroom looks tidy

So damit introduces the purpose of the action.

A useful idea:

• Ich mache X, damit Y passiert. = I do X so that Y happens.

Not naturally in this case.

um ... zu is usually used when the subject of both parts is the same.

For example:

• Ich lerne viel, um die Prüfung zu bestehen.
  • I study a lot in order to pass the exam.
  • The subject is the same: I study, I pass.

In your sentence:

• Ich falte ...
• das Bad ... aussieht

The subject changes from ich to das Bad, so German normally uses damit, not um ... zu.

Handtücher is the plural of das Handtuch (the towel).

So:

• singular: das Handtuch
• plural: die Handtücher

That is why the sentence says die Handtücher = the towels.

Also notice the umlaut change:

• Handtuch → Handtücher

Because Bad is a neuter noun in German, so its article is das.

• das Bad = the bathroom / bath

In this sentence, das Bad means the bathroom.

Be careful not to confuse:

• das Bad = the bathroom / bath
• baden = to bathe
• schlecht / gut aussehen = to look bad / good

Here das Bad is simply the room.

Because ordentlich is being used as a predicate adjective, not directly before a noun.

Compare:

• ein ordentliches Bad = a tidy bathroom

  • Here the adjective comes before the noun, so it takes an ending.

• Das Bad ist ordentlich. = The bathroom is tidy.

  • Here the adjective comes after a linking verb, so it has no ending.

In your sentence:

• das Bad ordentlich aussieht
• ordentlich describes das Bad, but it is not directly in front of the noun
• so there is no adjective ending

Aussehen is a separable verb meaning to look or to appear.

Its parts are:

• prefix: aus-
• base verb: sehen

In a normal main clause, the prefix separates:

• Das Bad sieht ordentlich aus.

But in a subordinate clause, the verb stays together at the end:

• ..., damit das Bad ordentlich aussieht.

So this sentence is a good example of how separable verbs behave differently in main clauses and subordinate clauses.

That is because of two different sentence structures.

In a main clause:

• the conjugated verb comes early
• the separable prefix goes to the end

Example:

• Das Bad sieht ordentlich aus.

In a subordinate clause:

• the full verb form stays together at the end

Example:

• ..., damit das Bad ordentlich aussieht.

So:

• sieht ... aus = main clause
• aussieht = subordinate clause

German word order is flexible, but not random.

In Ich falte die Handtücher sofort, the structure is:

• Ich = subject
• falte = verb
• die Handtücher = object
• sofort = adverb of time

This is a very natural order. It puts the direct object first and then adds the time adverb.

You could also hear:

• Ich falte sofort die Handtücher.

That is also possible, but it can shift emphasis slightly. The original version sounds very normal and neutral.

Not exactly.

• sauber = clean
• ordentlich = tidy, neat, orderly

A bathroom can be:

• sauber if it is clean
• ordentlich if things are arranged neatly

In your sentence, ordentlich aussieht means the bathroom looks neat or tidy, not necessarily just physically clean.

Because German uses a comma to separate a main clause from a subordinate clause.

Here:

• Main clause: Ich falte die Handtücher sofort
• Subordinate clause: damit das Bad ordentlich aussieht

Since damit introduces the subordinate clause, a comma is required.

This is standard German punctuation.

Yes. Sofort can mean:

• immediately
• right away
• at once

The best English choice depends on tone and context, but all of those are close in meaning here.

Yes. German uses the present tense very often where English might use either:

• I fold the towels
• I am folding the towels

So Ich falte die Handtücher sofort is present tense, but depending on context it can mean:

• I’m folding the towels right away
• I’ll fold the towels right away

German present tense is broader than English present simple in many situations, so context helps determine the exact meaning.