When providing the day of the month, Romans always looked forward, so events occurred 10 days before the calends of the next month, as opposed to 5 days after the Ides. Additionally, Romans were inclusive counters, so the day of origin is included in the count (e.g. 4 days before the ides of March would be March 12th).
** Originally aligned with the full moon, the transition to the solar calendar meant the Ides simply marked the middle of the month.