Basic Help Installing Memory Upgrade in Inspiron 2200

I have in hand 1G of memory to install in my Inspiron 2200 (which currently has 256). The Dell on-line manual says that I should remove the old memory first. However, when I took off the memory module cover, the place where the memory should go is empty. I see only an empty space with the message DDR1 Only etc. stamped where the new memory should go. I can't see old memory to remove. I am hesitant simply to stick in the new memory without removing the old. (When I did that with my Dimension desk top, the new memory was ineffective. The old had to go before the new would take effect).

 

Here is my question. Am I ok simply inserting the additional memory in the space that is obviously waiting for it?

 

My particular Inspiron must be the world's absolute slowest computer, so any help is appreciated.