Ini rumah tempat nenek saya tinggal.

Indonesian often leaves out the verb to be in simple present statements.

So:

• Ini rumah ... literally looks like This house ...
• but it naturally means This is the house ...

If you want, you can add adalah in some contexts:

• Ini adalah rumah tempat nenek saya tinggal.

That is grammatical, but in everyday speech, leaving it out is very common and more natural.

Tempat literally means place.

In this sentence, it helps connect rumah and the clause nenek saya tinggal, giving the idea of:

• the house where my grandmother lives
• literally something like the house, the place my grandmother lives

So tempat is functioning a bit like where in English, even though its basic meaning is place.

Because Indonesian often expresses this idea with tempat instead.

English says:

• the house where my grandmother lives

Indonesian can say:

• rumah tempat nenek saya tinggal

So rather than using a special relative word exactly like English where, Indonesian commonly uses tempat to mean the place where.

Because possessives usually come after the noun in Indonesian.

So:

• nenek saya = my grandmother
• rumah saya = my house
• buku saya = my book

This is the normal Indonesian pattern:

• noun + possessor

So nenek saya is literally grandmother my, but it means my grandmother.

Here, tinggal means to live or to reside.

So:

• nenek saya tinggal = my grandmother lives

Be aware that tinggal can also have other meanings in other contexts, such as:

• to stay
• to remain / be left

But in this sentence, because it is talking about a house, the meaning is clearly live/reside.

Because tempat already carries the idea of place, so the structure works without di.

Compare:

• nenek saya tinggal di rumah itu = my grandmother lives in that house
• rumah tempat nenek saya tinggal = the house where my grandmother lives

In the second pattern, tempat is acting like a connector meaning the place where, so di is not necessary.

Yes, that is possible, and it means roughly the same thing.

Compare:

• Ini rumah tempat nenek saya tinggal.
• Ini rumah yang nenek saya tinggali.

The first one is very straightforward and natural. The second uses yang plus tinggali, which comes from tinggal and makes the house the object/location being lived in.

For learners, rumah tempat nenek saya tinggal is often easier to understand.

Because tempat is already doing the linking job.

Indonesian often uses yang to introduce a relative clause, but it is not required in every structure.

Here:

• rumah tempat nenek saya tinggal

already means:

• the house where my grandmother lives

If you used yang, you would normally need a different structure, such as:

• rumah yang ditinggali nenek saya
• rumah yang menjadi tempat tinggal nenek saya

So the original sentence is correct without yang.

Both are natural, but they focus slightly differently.

• Ini rumah tempat nenek saya tinggal. = This is the house where my grandmother lives.
• Rumah ini tempat nenek saya tinggal. = This house is the place where my grandmother lives.

The first one sounds like you are identifying the house. The second one puts more focus on this house as the topic.

In many situations, the first sentence is the most direct match for the English meaning.

You could, depending on style and formality.

• nenek saya = neutral/polite/common
• nenekku = my grandmother, more personal/intimate
• nenek aku = also possible in casual speech, though nenekku is often smoother

So you might hear:

• Ini rumah tempat nenekku tinggal.

That sounds natural in casual speech.

Using saya is a safe, standard choice.

A helpful breakdown is:

• Ini = this
• rumah = house
• tempat = place
• nenek saya = my grandmother
• tinggal = lives

So very literally:

• This house place my grandmother lives

But natural English is:

• This is the house where my grandmother lives.

A more structure-based understanding is:

• Ini rumah = This is the house
• tempat nenek saya tinggal = where my grandmother lives

Yes, it is natural and correct.

It is a normal way to say:

• This is the house where my grandmother lives.

Some possible alternatives are:

• Ini rumah tempat nenek saya tinggal.
• Ini adalah rumah tempat nenek saya tinggal.
  slightly more formal or explicit
• Ini rumah yang ditinggali nenek saya.
  also correct, but structurally a bit more advanced

So the original sentence is a good, natural model for learners.