• Crowfiend@lemmy.worldEnglish
      24·
      7 个月前

      Only if you’re rounding. 99.9 is still 1/10 of a digit separated from 100, but it’s not equal to 100 for good reason.

        • Crowfiend@lemmy.worldEnglish
          35·
          7 个月前

          It only signifies that the post-decimal nines are repeating infinitely. It still doesn’t make 99.99999…=100 unless you intentionally round the value for some nondescript reason, and even then, rounding off isn’t changing the value, only the perceived value for mathematical simplicity, not objective accuracy.

          • chiliedogg@lemmy.worldEnglish
            52·
            7 个月前

            “.9…” is repeating, but rational. So it’s actually “1” . Let’s do the math.

            .9… / 3 = .3…

            .3… = 1/3

            1/3 x 3 = 3/3

            .9… = 3/3

            3/3 = 1

            .9… = 1

            Still not convinced? We’ll use algebra instead of fractions.

            0.9… = x

            10x = 9.9…

            10x - 0.9… = 9

            9x = 9

            x = 1

            • Crowfiend@lemmy.worldEnglish
              35·
              7 个月前

              So why is it represented as 99.999… Instead of just 100? It’s because you’re forgetting the fact that fractions and decimals are infinite depending on the magnification. 99.9999… literally goes on forever. That means that no matter how close it gets to 100, it will never be equivalent to 100.

              It’s like how you can know infinitely nothing and still think you know everything. 👀🫠