That's just how I've always done onions.
I'm bad with garlic though, I've never managed to chop it fine so I use a press - bad bad naughty bad!
Funnily enough it's always the garlic makes me cry and not the onion.
Are you joking? seriously, never seen precut onion in my life?
I am a professional onion chopper, they don't make me cry anymore or anything. I remember they showed us how to do that at school, but I kept forgetting recently to leave the core on and wondering why my onion was messing up a bit.. thanks