What makes metric time so cool is that would make all the mental math we have to do when adding and subtracting time so much easier—especially when it comes to different timezones. Working with base-10 numbers is so much easier than trying to think in base-60, base-12, and base-24.
There is no AM or PM with metric time. Just 10 hours in the day. To get a good night sleep (8 standard hours) you'd sleep for 3.33 metric hours. If you go to bed at 9:50 metric time (about 10:45pm in standard time), wanting to get a good night sleep, you'd wake up at 2:75 metric time (roughly 6:45am standard time). Remember, a half hour in metric time is 50 minutes, and a full hour is 100 minutes. One metric minute before "midnight" (10:00 on the metric clock) would be 9:99 in metric time.
The logic you use to tell time with metric time is very similar to how you think about money (assuming US Dollars). One metric hour is like a 100-dollar bill. One metric minute is a 1 dollar bill. And each metric second is a penny. Each day (10 metric hours), has 1,000 minutes, and 100,000 seconds. It's an interesting way to think about the time we get to spend each day.