I am not quite understanding something.

For example I am looking at a sentence from Rosetta Stone program "Mansanýn üstündeki kýz ip atlýyor"

So "a girl is jumping rope on top of the table", however, I do not understand the addition of the "ki" to the word üstünde. Why, what does it do.

Any explanation will be greatly appreciated.

"Masanýn üstündeki kýz ip atlýyor" => The girl on the table is jumping rope.

"Masanýn üstünde bir kýz ip atlýyor" => a girl is jumping rope on top of the table.

some examples:

The photo on the wall is nice = Duvardaki resim güzel.

The weather in germany is horrible = Almanya´daki hava berbat.

I hope it helps.

I think the easiest way to remember (at least for me) is to think of -deki as "that is/are" or "which is/are", so in this example you´d translate  "üstündeki kýz" - the girl that is on top ..

What the addition of -ki to any noun that ends in -de/-da is it makes it an adjective, which you´d use to describe another noun, for example:

çevremizdeki eþyalar - things that are in our surroundings

dünyadaki en yakýþýklý Türk - the most handsome Turk that is in the world

etc.

Almost. A small correction.

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I think the easiest way to remember (at least for me) is to think of -ki as "that is/are" or "which is/are", so in this example you´d translate  "üstündeki kýz" - the girl that is on top ..

What the addition of -ki to any noun that ends in -de/-da is it makes it an adjective, which you´d use to describe another noun, for example:

çevremizdeki eþyalar - things that are in our surroundings

dünyadaki en yakýþýklý Türk - the most handsome Turk that is in the world

etc.