flamingos-cant@feddit.uk to 196@lemmy.blahaj.zoneEnglish · 6 months agoSpectrum rulefeddit.ukimagemessage-square134fedilinkarrow-up1966arrow-down10
arrow-up1966arrow-down1imageSpectrum rulefeddit.ukflamingos-cant@feddit.uk to 196@lemmy.blahaj.zoneEnglish · 6 months agomessage-square134fedilink
minus-squareCassa@lemmy.blahaj.zonelinkfedilinkarrow-up4·6 months agono, not really. In engineering math, sure but theoretical math it’s not
minus-squareemergencyfoodlinkfedilinkarrow-up6·6 months ago0.999… = 1 in theory also. Otherwise, there exists a δ such that 1 - δ = 0.999… Then, the δ should have a first nonzero digit. Let us say it is in the millionth placd. But then, 0.999… cannot have a 9 in the millionth place.
minus-squarematiamas@lemmy.worldlinkfedilinkarrow-up2·6 months agoEven in theoretical math, 0.999 repeating ends up being exactly equal to 1. In fact, any terminating decimal can be rewritten in a similar manner. For example, 0.25 is exactly equal to 0.24999999 repeating
minus-squareLoki@discuss.tchncs.delinkfedilinkarrow-up1·6 months agoWhat’s 3 * 1/3? What’s 3 * 0.3333333…?
no, not really. In engineering math, sure but theoretical math it’s not
0.999… = 1 in theory also.
Otherwise, there exists a δ such that 1 - δ = 0.999…
Then, the δ should have a first nonzero digit. Let us say it is in the millionth placd. But then, 0.999… cannot have a 9 in the millionth place.
Even in theoretical math, 0.999 repeating ends up being exactly equal to 1. In fact, any terminating decimal can be rewritten in a similar manner. For example, 0.25 is exactly equal to 0.24999999 repeating
What’s 3 * 1/3? What’s 3 * 0.3333333…?