[split] 0.999... equals 1

[Violet]

How can it endlessly get bigger if there's a bigger number? (0.9r < 1.1) There is a limit to it's 'bigness' so it can't be endlessly big.

As I showed in my example: .9 < .99 < .999 < .9999, it is endlessly getting bigger in smaller increments

Firstly, since when did this thread have anything to do with volume? The formula for volume of a rectangular prism is entirely irrelevant and the fact that you think otherwise shows you have a very poor grasp of math.

You were discussing limits earlier in this thread, so you should know that while adding values after the decimal DOES increase the magnitude of a number, it does not do so endlessly. It always approaches a limit as you add more.

This is embarrassing.

I was representing the concept of size with that formula... you could do the same with the volume of a sphere, cylinder, pyramid, whatever If you increase a number by any of our spacial three dimensions... then you have increased a numbers' overall size.

As far as I am aware... this is very much based on limits. When I say endlessly getting bigger, but doing so in smaller increments: the infinite limit is exactly what I am referring to I'm just rewording it (Much like many of you have reworded the same 'proofs' for the last 20 some pages?). As it approaches the limit, it doesn't stop moving forward... but if one was to graph it: the line would curve further and further away from the limit... as it continues to get endlessly closer. Simply: the more you add, the bigger the number gets. If you add endlessly, then the number will be endlessly big

I don't deny that it's embarrassing. It's like I'm the only person in class who raises my hand to ask questions because I do not understand what the teacher is saying. You guys all understand perfectly well... but I'm not convinced. I believe that you guys are right in .9^ = 1... but I just don't see why. I'm taking that equality on faith, and providing counterpoints to see why you guys believe it is an equality.