Ask HN: Should I become a software engineer if I am not precise?

I am finishing my computer science master and have worked a bit in web development and iphone development. The teams either had outdated workflows or they were a young startup. I also gave 2 full-time web dev coding bootcamps. What I'm noticing is that all these years I have a big flaw. I do see that there are programmers who have the same flaw or 'personality trait' and get by anyway. I wonder though if I should, or should change careers slightly. My question is: should I become a software engineer if I am imprecise? I have been imprecise since childhood: 1 + 3 - 5 would become: 1 - 3 - 5 or 1 + 3 + 5. I would compute my altered state of reality correctly, but somehow I could never ever get myself to read it in once and compute the actual question correctly. I always had to do 5 checks and then realize I made the wrong computation, twice. This type of imprecision also happens with programming. For example, when I'm writing JavaScript and I'm not realizing that I forgot to write a return statement for a .map function. For the past 6 years that I've been dabbling in this field, studying and working sidejobs I always had one huge crutch to bypass this flaw. I made very very extensive use of a debugger. I passed the toughest courses at university because I single stepped through everything. The thing is, when I did the toughest courses at university I met another type of programmer. It is the type of programmer who reads a program or writes a program and does almost everything perfect. They know that they need to type cast a specific value because the function they are passing it to is quirky and only accepts a very specific type. I don't think this issue will ever go away. Should I become a software engineer? Second question: is this a flaw with regards to software engineering or isn't it and should I have another mental model for looking at it?