Denali Posted February 11, 2019 Report Share Posted February 11, 2019 Discuss Link to post Share on other sites More sharing options...
OILERMAN Posted February 12, 2019 Report Share Posted February 12, 2019 Basically Link to post Share on other sites More sharing options...
Starkiller Posted February 12, 2019 Report Share Posted February 12, 2019 Not if being correct matters. If you are calculating a tip then just round up and no one cares. If you are NASA then rounding up just cost you a multi billion dollar piece of equipment. NashvilleNinja 1 Link to post Share on other sites More sharing options...
Denali Posted February 12, 2019 Author Report Share Posted February 12, 2019 To clarify, what if there are an infinite number of 9's after the decimal point? Link to post Share on other sites More sharing options...
Starkiller Posted February 12, 2019 Report Share Posted February 12, 2019 32 minutes ago, Denali said: To clarify, what if there are an infinite number of 9's after the decimal point? Then it’s almost 1, but not 1 Link to post Share on other sites More sharing options...
reo Posted February 12, 2019 Report Share Posted February 12, 2019 (edited) Context and purpose matter. In mathematical and scientific terms, no. In engineering terms, typically yes. Edited February 12, 2019 by reo pat 1 Link to post Share on other sites More sharing options...
klaatu'sAngel'sUncle Posted February 12, 2019 Report Share Posted February 12, 2019 (edited) I'm not a mathematician but for all intents and purposes in our dimension it is true. People have been arguing about this on the internet since its inception. x= 0.999... 10x = 9.999... 10x = 9 + 0.999... 10x = 9 + x 9x = 9 x = 1 also 1/9 = 0.111... 2/9 = 0.222... 3/9 = 0.333... 4/9 = 0.444... 5/9 = 0.555... 6/9 = 0.666... 7/9 = 0.777... 8/9 = 0.888... 9/9 = 0.999... = 1 1 minus 0.999... = 0.000... An infinite string of zeros Edited February 12, 2019 by klaatu- Link to post Share on other sites More sharing options...
Starkiller Posted February 12, 2019 Report Share Posted February 12, 2019 47 minutes ago, klaatu- said: I'm not a mathematician but for all intents and purposes in our dimension it is true. People have been arguing about this on the internet since its inception. x= 0.999... x^∞ < 1^∞ Link to post Share on other sites More sharing options...
klaatu'sAngel'sUncle Posted February 12, 2019 Report Share Posted February 12, 2019 (edited) 1 hour ago, Starkiller said: x^∞ < 1^∞ ∞ isn't a real number. The difference between .999... and 1 is infinitesimal, so small it can't be measured even at the subatomic level. If the difference can't be measured then there is no difference. One apple minus an atom is still one apple. Edited February 12, 2019 by klaatu- Link to post Share on other sites More sharing options...
NashvilleNinja Posted February 12, 2019 Report Share Posted February 12, 2019 1 hour ago, Starkiller said: x^∞ < 1^∞ */*#]4*%[# = \/\/+£ ¿ Link to post Share on other sites More sharing options...
titanruss Posted February 12, 2019 Report Share Posted February 12, 2019 it depends how far you go. theres an order of magnitude where it ceases to matter if numbers we are calculating end at 1 or .9999....999. small or big enough theres no need to calculate further once you reach the extents of the universe or down to the smallest particle movement. Link to post Share on other sites More sharing options...
reo Posted February 12, 2019 Report Share Posted February 12, 2019 7 hours ago, klaatu- said: x= 0.999... 10x = 9.999... 10x = 9 + 0.999... 10x = 9 + x 9x = 9 x = 1 Some problems with that mathematically but alright. 7 hours ago, klaatu- said: 9/9 = 0.999... = 1 That's a no. 9/9 != .999 That's not true ever. 9/9 = 1 klaatu'sAngel'sUncle 1 Link to post Share on other sites More sharing options...
Starkiller Posted February 12, 2019 Report Share Posted February 12, 2019 6 hours ago, klaatu- said: ∞ isn't a real number. The difference between .999... and 1 is infinitesimal, so small it can't be measured even at the subatomic level. If the difference can't be measured then there is no difference. One apple minus an atom is still one apple. And yet you could graph x^y and see it visually. If x=1 it would be flat and the value always equal 1. If x=.9999.... then the value would continue approach 0 the higher y gets. Thus 1 > .99999999... klaatu'sAngel'sUncle, reo, and Jonboy 3 Link to post Share on other sites More sharing options...
klaatu'sAngel'sUncle Posted February 12, 2019 Report Share Posted February 12, 2019 7 hours ago, Starkiller said: And yet you could graph x^y and see it visually. If x=1 it would be flat and the value always equal 1. If x=.9999.... then the value would continue approach 0 the higher y gets. Thus 1 > .99999999... That makes sense. The world I grewed up in is gone. reo, and Jonboy 2 Link to post Share on other sites More sharing options...
reo Posted February 13, 2019 Report Share Posted February 13, 2019 12 hours ago, Starkiller said: And yet you could graph x^y and see it visually. If x=1 it would be flat and the value always equal 1. If x=.9999.... then the value would continue approach 0 the higher y gets. Thus 1 > .99999999... Clever. Link to post Share on other sites More sharing options...
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