Totally confused about field of view and magnification in a microscope

At school we have microscopes with a 40x objective lens and a 10x ocular lens (eyepiece). We’re told this equates to a 400x magnification when viewed with the naked eye. I can accept that so far.

I recently got a digital eyepiece that supposedly equates to ~100x magnification on an average-sized monitor (14" to 30"), but I’m not exactly sure how they arrived at that conclusion. Does that mean that I’m now viewing at 4000x magnification when coupled with that same microscope?

They have a more detailed explanation here, but the math is beyond me. Coming from a photography back ground, I thought I understood magnification as it applies to telephoto lenses and fields of view, but this seems like something different… or is it? Can someone explain it in Basic English? I expect it has something to do with the interplay between the lens, the sensor size, the pixel density of my monitor, and the field of view of the human eye… but I’m not really sure.

The basic question I’m trying to answer is: What is its equivalent magnification as compared to the regular 10x eyepiece?