https://old.reddit.com/r/confidentlyincorrect/comments/1b0iycz/999repeating_does_in_fact_equal_1/
!math !mathematics nerd slapfights
https://medium.com/@kenahlstrom/proof-that-99999-is-not-equal-to-1-5672e7dd58ce
Another day of Redditors being confused by high school math. Although to be fair, I still think proportionally the number of people who get it here is still higher than the general population.
I had meant for that to sound encouraging, but in hindsight actually that's terrifying.
Jump in the discussion.
No email address required.
This is one of those things where I'm too dumb to understand why it's a hard question.
Anything less than one, even vanishingly smaller than one as it fully expresses, isn't gonna be equal to one.
Being 5'11 3/4s doesn't make you 6'0, it just makes you look pathetic for arguing it.
Jump in the discussion.
No email address required.
Jump in the discussion.
No email address required.
0.9999 is already defined as
so you don't really need the first two steps.
Plus the geometric series formula relies on the notion of convergence anyways, so you´re not really proving it any more than if you said 1-0.999... approaches 0 as the original argument did.
Jump in the discussion.
No email address required.
I never learned to do proofs beyond the basic
Math is humbling
Jump in the discussion.
No email address required.
More options
Context
More options
Context
BIPOC explain it without the funny E thing this isn't vacabulary this is MATH TIME
.999 = 1 ?
Well .999 is really close to 1 since .999 lead to 1 but there's nothing in between ???
So that makes it 1 !
Jump in the discussion.
No email address required.
0.999 is not 0.999... (infinitely repeating).
Jump in the discussion.
No email address required.
More options
Context
More options
Context
I dont think '...' is a valid mathematic function
Jump in the discussion.
No email address required.
More options
Context
More options
Context
I can confirm that you are on the wrong end of the bell curve.
Jump in the discussion.
No email address required.
I'm Jewish actually so we read from right to left
Jump in the discussion.
No email address required.
More options
Context
More options
Context
The actual math argument:
Given any two distinct real numbers, you can always find another real number between them.
What number is between 0.999... and 1?
Answer: none of them. So 0.999... = 1 ie they're the same number.
The place people get hung up is not realizing that the "..." means it literally goes on forever. You could truncate it after any finite number of digits and it would be a different number than 1. But if it goes on forever (like 0.999... by definition does) then it's equal to 1.
Jump in the discussion.
No email address required.
So 6=7 because there are no integers between 6 and 7, and integers are the arbitrary margins we're using for this exercise
Sounds dumb. Something equaling the other is self-evident.
Jump in the discussion.
No email address required.
Jump in the discussion.
No email address required.
More options
Context
More options
Context
Isn't 0.FFF... in base 16 between 0.999... and 1 in decimal?
Jump in the discussion.
No email address required.
More options
Context
More options
Context
It's just a question of like, "what does a decimal representation of a number mean", which isn't trivial, but once you understand it the result that 0.9999... = 1 is trivial
Jump in the discussion.
No email address required.
More options
Context
If two numbers are different you can find at least one number (an infinity in fact) between the two of them.
There's no number between 0.9bar and 1. The distance between 0.9bar and 1 is 0. They're equal.
Jump in the discussion.
No email address required.
?
0.99 starts with 0, 1 doesn't.
Jump in the discussion.
No email address required.
0.33 starts with 0, 1/3 doesn't
Jump in the discussion.
No email address required.
0.33 isn't a 1/3 though
Jump in the discussion.
No email address required.
More options
Context
More options
Context
More options
Context
I can tell you right now that a whole number 2 Wil never appear in that infinity (and this is how I found out infinity is fake and straight)
Jump in the discussion.
No email address required.
More options
Context
More options
Context
More options
Context