this post was submitted on 27 May 2024
975 points (100.0% liked)
196
16244 readers
1873 users here now
Be sure to follow the rule before you head out.
Rule: You must post before you leave.
founded 1 year ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
0.9999... is equal to 1, so no
no, not really. In engineering math, sure but theoretical math it's not
0.999… = 1 in theory also.
Otherwise, there exists a δ such that 1 - δ = 0.999…
Then, the δ should have a first nonzero digit. Let us say it is in the millionth placd. But then, 0.999… cannot have a 9 in the millionth place.
Even in theoretical math, 0.999 repeating ends up being exactly equal to 1. In fact, any terminating decimal can be rewritten in a similar manner. For example, 0.25 is exactly equal to 0.24999999 repeating
It is in theoretical math as well. I just woke up and don't know the proof by heart but there is a proof for 0.99 repeating being true equal to 1.
What's 3 * 1/3? What's 3 * 0.3333333...?