[Craftylikeafly]

I need to find the core electrons, valance electrons, and the unpaired electrons for Carbon
 

I don't understand how to find the core electrons

I know that the Valance number is 2 and the unpaired electrons are 0

[Dan]

I know that the Valance number is 2 and the unpaired electrons are 0

Unfortunately you are incorrect.

Think about the electronic structure of the carbon atom - what is the electron configuration? For example, fluorine is 1s²2s²2p⁵.

The valence electrons are the electrons that are involved in bonding to other atoms. These are in the higher energy shells (usually only the outermost shell - sometimes called the valence shell).

The core electrons are those that are not involved in bonding (these are in the lower energy shells close to the nucleus - hence "core").

Have another shot at it and see what you come up with...