What is 1 3 as a decimal

That "1" you are talking about gets infinitely smaller the more decimal places you add, thus by indicating a 0.3 with a line over the "3," you are declaring an infant decimal place and thus ultimately achieving 1/3. It is not the closest you will get without reaching absolute 1/3 and in fact, may even reach absolute 1/3, as your decimal places are infinite and therefore the "1" left over that you are pointing out, also gets infinitely smaller to the point of nothing. However, we have no way to test this as our technology is not at the point to compute infinity. The reasons why your calculator cannot compute the correct answer working backwards is twofold, the first reason being the aforementioned technology ceiling and the second reason being that your calculator is digital working on a analog problem, which ties into the first reason. Logic dictates that if the decimal places are an infinite value, in other words go on forever and ever without ceasing, then the "1" you mentioned, would also get infinitely smaller without ceasing until somewhere in the mysterious universe (which is theorized to not be infinite), they either meet or break down. However, since we believe the universe to be finite, it would just go on until it breaks the universe and cracks open heaven, -to which God (whomever or whatever you believe that to be) will likely be upset. So, in essence, this problem is better tackled in analog, if possible, so that infinity or the concept of infinity is not needed in absolute terms. Keep taking math classes until you get into the more advanced mathematical disciplines to help better understand this problem and even bigger problems that seem to break-down the language of mathematics all together. Good luck on your mathematical endeavors. Some say math is the language of the Universe, but I contest that the human mind is unable to grasp the language of the universe, in a similar manner to a dog s mind not being able to grasp the English language.