system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5 how one third of 100 as a decimal adds up to 100 and not 99.9 recurring

Edit: thanks all for helping me wrap my head around this. 99.9% sure i get it now…
gpt
.9 recurring is the same as the next whole number because there cannot be a number in between them. If there was, you couldn't continue recurring and include another 9. 

With a number like 99.999 not recurring we can add .001 and reach 100 but if we take 99.999 recurring and add .001 we reach 100.000999 with the nines recurring. 

There is no point where you can add a number to reach the next whole number without going over nor a point where you could subtract to reach the recurring number.