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0.9999... equals 1.0000....
#2
I love crazy math counterintuitions. I never went past trig/statistics, but looked this up to look smart. E⁰, (cos)0, and (tan)45 also equal 1! 

I think the reason .9999... = 1 or 9.9999... equals 10 is because of an infinity/integer paradox where there is no number, no matter how small that can be inserted between the two numbers to equal the next whole number.  

.9999 + .0001 = 1 but the infinitely repeating never has a place for the eventual .0001.
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Messages In This Thread
0.9999... equals 1.0000.... - by UltraBudgie - 11-24-2024, 10:55 AM
RE: 0.9999... equals 1.0000.... - by IdeomotorPrisoner - 11-24-2024, 11:30 AM
RE: 0.9999... equals 1.0000.... - by Quantum12 - 11-24-2024, 11:37 AM
RE: 0.9999... equals 1.0000.... - by UltraBudgie - 11-24-2024, 11:43 AM
RE: 0.9999... equals 1.0000.... - by Quantum12 - 11-24-2024, 12:13 PM
RE: 0.9999... equals 1.0000.... - by Quantum12 - 11-24-2024, 12:17 PM
RE: 0.9999... equals 1.0000.... - by UltraBudgie - 11-24-2024, 12:28 PM