flamingos-cant to 196English • 1 month agoSpectrum rulefeddit.ukimagemessage-square139fedilinkarrow-up1969
arrow-up1969imageSpectrum rulefeddit.ukflamingos-cant to 196English • 1 month agomessage-square139fedilink
minus-squareCassalink5•1 month agono, not really. In engineering math, sure but theoretical math it’s not
minus-square@emergencyfood@sh.itjust.workslinkfedilink6•1 month 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-squareSas [she/her]linkfedilink2•edit-21 month agoIt is in theoretical math as well. I just woke up and don’t know the proof by heart but there is a proof for 0.99 repeating being true equal to 1.
minus-square@matiamas@lemmy.worldlinkfedilink2•1 month 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
0.9999… is equal to 1, so no
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.
It is in theoretical math as well. I just woke up and don’t know the proof by heart but there is a proof for 0.99 repeating being true equal to 1.
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…?