Rounding rules that matter
Half-up is the rule you learned in school. Banker's rounding (round-half-to-even) is the default in IEEE-754 and most financial software because it eliminates the upward bias of always rounding .5 up.
Rounding to a 'nearest unit' is useful for prices (nearest 0.05), salaries (nearest 1000) and grid snapping (nearest 5 px).