I don't get how this stuff works. My understanding is that it was impossible to "see" electrons because they're so small that photons can't bounce off of them. How does this work? Also, how do they color it? Is it artificially added? I can't see why it would be naturally blue.
This doesn't answer your question, but photons definitely can interact with (bounce off) electrons.
All optical properties we see macroscopically (light interacting with objects) can be broken down to photons interacting with electrons. The Quantum Electro-Dynamics theory (QED) explains this. There are actually some really great and entertaining free video lectures about this, given by Richard Feynman: http://vega.org.uk/video/programme/45
Now, I think what you were referring to is that we can't see electrons in an optical microscope because the electrons are smaller than the diffraction limit imposed by visible lights wavelengths.
So, in my admittedly limited understanding, you can't see an electron with a light microscope, but almost everything we consider optics is determined by electron-photon interactions.
You are a little off-topic here, but you may no know it. The number you are referring to is (I think, but your number is a little high...) for the average (specifically, the r.m.s speed) of an electron which is one of many (classical) things all at the same temperature (that is,in thermal equilibrium), at the temperature of the human body.
If you're not familiar with these concepts, re-read the above but skip the stuff in parentheses.
