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Does 0.99999999999999999999999999999999999999999 repeating equals 1?

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Invisible · 26-30, M
Yes.

1/9 = 0.111...
0.111... * 9 = 0.999...
1/9 * 9 = 9/9 = 1
therefore
0.999... = 1

Also, heres a joke: how many mathematicians does it take to change a light bulb? .9 repeating
@Invisible so what do you get if you add .111... 9 times
Invisible · 26-30, M
@Invisible Why is it not .999...
Invisible · 26-30, M
@AcidBurn As I explained in my original reply, .9 repeating is equal to 1. One ninth is equal to .1 repeating, and .9 repeating is nine times .1 repeating, so .9 repeating and 1 are equivalent
@Invisible So you're completely ignoring infinitesimal math.
Invisible · 26-30, M
@AcidBurn I don't understand what you mean
OfflineFriend · 22-25
0.9999... = 1 , its a fact
@Invisible infinitesimal math deals with the number between .999... and 1. The "problem" with your math is that 9/10 is a defined number. .999... is an ill defined number because it goes off into infinity, which doesn't exist.
you can add defined numbers (9/10) + (9/100) + (9/1000) and so on forever. It will never get you to 1.

For most purposes does .999... equal 1? Sure. Is there a branch of math that says .000...1 exists? Yes.
Invisible · 26-30, M
@AcidBurn So what's 1 - .9 repeating?
@Invisible infinitesimal math says it is .000...1