Aperture is just funky. Well, if you sit around with friends calculating the area of a circle and talk about the next digit of π, then maybe you are just a different kind of normal and aperture is your cup of tea. For the rest of us, though, I highly suggest a time honored method to understanding your camera, though understanding why the numbers are weird will elude you: memorize.
Any of us can calculate that ISO 200 is twice as sensitive as ISO 100, and ISO 400 is twice as fast as as ISO 200. With film sensitivity, a stop of light is easy to figure. Even with the shutter speed, though they inconveniently do not use exact numbers, the key numbers are approximately exponential: 2, 4, 8, 15, 30, 60, 125, 250, 500, 1000. There is a little funny business going on in there, but basically, it is easy to figure a stop of light. Aperture, though? Not so much.