mathscurious1
New member
- Joined
- Jun 29, 2022
- Messages
- 4
Hi there,
I'm no expert on math but I am curious about the implications of 0.999... = 1. I've read that this statement is true (please let me know if I am incorrect).
Here's a few thoughts I've had and wondering whether a) these equations are valid and b) what the answers and implications may be.
Please be nice, I am new and just wanted to see what those who know far more than I do have to say about the implications of 0.999... = 1 because I think there could be something interesting conclusions.
I'm no expert on math but I am curious about the implications of 0.999... = 1. I've read that this statement is true (please let me know if I am incorrect).
Here's a few thoughts I've had and wondering whether a) these equations are valid and b) what the answers and implications may be.
- 1 x 1 Infinity = 1. So what is 0.999.... x 0.9999...Infinity equals to? Is it all 1? Usually any numbers that are 0 followed by a decimal followed by digits become smaller and smaller when multipled by themselves and progress towards zero.
- If 1 - 1/3 - 1/3 - 1/3 = 0, is 0.999... - 1 = a negative fraction? Or is 0.999... - 1 = 0 in all cases? I understand that the initial point I made is 0.999... = 1 and, of course, 1 = 1 but I also see clearly that 0.999... is in some way distinct from 1 since it is not 'technically' 1. Or am I misunderstanding something here?
Please be nice, I am new and just wanted to see what those who know far more than I do have to say about the implications of 0.999... = 1 because I think there could be something interesting conclusions.