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Which is greater: 0.999... or 1? 🤔
Most students immediately guess that 1 is greater, but mathematically, that is incorrect! In this quick concept session, Navneet Tiwari Sir explains the fascinating math behind recurring decimals and proves step-by-step why 0.999... = 1.
Mastering these basic mathematical concepts and number properties is crucial for building rock-solid aptitude for Bank exams (SBI PO/Clerk, IBPS PO/Clerk, RRB) and other competitive exams.
📌 What You'll Learn in This Video:
The common misconception between recurring decimals and whole numbers
Algebraic proof: Setting up $x = 0.999...$ and multiplying by 10
Why $0.999...$ equals exactly 1 (not just an approximation!)
Key mathematical logic to build sharp number sense
Share this mind-bending math concept with your friends and test their logic! Don't forget to like, share, and subscribe to Adda247 Bank Exams for more quantitative aptitude shortcuts and concepts.
Timestamps (Video Chapters)
00:00 - Which is Greater: 0.999... or 1?
00:23 - The Big Question & Misconception
00:52 - Step-by-Step Mathematical Proof ($x = 0.999...$)
01:54 - Solving the Equation ($10x - x$)
02:22 - The Final Result: Exact Equality Explained
02:58 - Conclusion & Next Steps
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