>>11586507In the book and film 1984 the main character thinks 2+2=4 and the government wants him to not think that, they want him to think 2+2= whatever they say it equals. Near the end they torture him until he gives up and breaks down and says he doesn't know anymore what 2+2 equals.
The "0.999...=1" idea/concept, the reason it's taught in school and pushed as being true, it's probably because functions as a small tool (one of many) to break people's ability to think for themselves and to see reality clearly.
It completely contradicts what people already know and have already learned, but then as they get older they "learn" to accept as a truth that less than 1 is 1. That probably has some sort of subtle psychological effect on people that's beneficial to the ruling powers in society.