Does 0.4999... Round Up or Down? The Truth About Infinite Decimals 🔢

Pretty much everyone knows that 0.999... = 1, and certainly, even if you argue about that - you might concede that if we were to round 0.999... it would round to 1. But what about 0.4999...? Does this round to 0 or to 1? Today we answer this question by exploring rounding conventions and discussing why 0.4999... is 0.5 in the first place. This question comes from r/askmath. #maths #reddit

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SOURCES
https://www.reddit.com/r/askmath/comments/1lukdbz/when_rounding_to_the_nearest_whole_number_does/
https://en.wikipedia.org/wiki/Rounding

0:00 Intro
1:00 Floor and Ceiling
2:12 The Nearest Whole
5:01 Why Round Up?
9:04 Banker's Rounding
11:51 Mathshion
12:28 Why 0.4999...=0.5
16:58 Final Question
18:04 "Mathematically"
18:52 Conclusion