• emergencyfood@sh.itjust.works
      6·
      6 months ago

      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.

    • Sas [she/her]@beehaw.org
      2·
      6 months ago

      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.

    • matiamas@lemmy.world
      2·
      6 months ago

      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