In many cells there is a the nucleus, which was first described by Robert Brown. If a cell does or does not have a nucleus has been used by scientists to divide cells into two general categories. The two categories are Eukaryotics, which are cells with a nucleus, and Prokaryotic, which are cells without a nucleus. The nucleus has been found to be the information center of the cell and contains DNA. It also directs all activities that occur in a living cell. It's like a mini me of the heart and brain of a human body.
Most nuclei contain a small area called the nucleolus that is made up of RNA in which ribosomes are made. The DNA in the nucleus of eukaryotic cells is attached to proteins and forms chromosomes. Chromosomes contain the genetic information that must be passed to each new generation of cells. Chromosomes are what you pass on to your children to make them who they are, it's the DNA of a cell.
The cytoplasm is the area between the nucleus and the cell membrane. The