Why 0.999… Equals Exactly 1 (Not Almost)

0.999… repeating forever is exactly equal to 1. Not "almost". Not "really close". The same number. If that sounds wrong, you're in good company. In this video we see why it has to be true, four different ways: with thirds, with a little algebra, by looking for the gap between them, and with the real reason mathematicians use: limits. Then we take on the most common objections. Chapters 0:00 The claim 0:31 What 0.999… actually means 1:28 Proof by thirds 2:10 The algebra trick 3:10 Mind the gap 4:16 The real reason: limits 5:40 "But it feels wrong" 6:47 One number, two names Subscribe to The Logic Layer for short, visual explainers on math, AI and computers. #math #maths #infinity #numbers #explained