It's very simple Sae, once you get that we are just talking about an infinite number of 9s on the end of 0.9. We are not talking about the value infinity, we are talking about a string of 9s that go on for infinity on the end of 0.9r. 0.9r= 0.99999999999999999 - the 9s going on forever. And the point is there can be no gap between that and 1, because you would have to put a number on the end of it to make it 1, but there is no number to put on the end of 0.9999999999999r, which is why it is logically a number of equal value to 1, it's 1 represented in decimal.
0.9r is 1 represented in decimal because there can't logically be a gap between it and 1, which means if it's no less or more than 1, then it logically must be the same value as 1. It's 1 in decimal.
Phew, hope that helps.
EvF
0.9r is 1 represented in decimal because there can't logically be a gap between it and 1, which means if it's no less or more than 1, then it logically must be the same value as 1. It's 1 in decimal.
Phew, hope that helps.
EvF