0.999... = 1 Proof That Makes Perfect Sense
Автор: StickMATH
Загружено: 2026-01-06
Просмотров: 250
Does 0.9 repeating forever actually equal 1? Your intuition might say "No, it's just a tiny bit less," but mathematics proves otherwise.
In this video, we visualize exactly why 0.999... and 1 are the same number using three different methods:
1. The Fraction Method (1/3 logic)
2. The Algebra Method (10x - x trick)
3. The Number Line Zoom (Seeing the "gap")
By the end of this animation, you'll see why there is absolutely no distance between these two numbers. Math doesn't lie!
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⏱️ TIMESTAMPS:
00:00 Does 0.999... = 1? (The Intuition)
00:32 Proof 1: The Fraction Method
01:13 Proof 2: The Algebra Method
02:06 Proof 3: The Number Line Zoom
02:50 Math Doesn't Lie: Conclusion
#math #mathematics #proof #algebra #calculus #education #stickmath #manim #animation #visualmath
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