What really are the advantages of a slide rule over pen and paper? (Newbie)
I've always admired slide rules. It wasn't until recently that I decided to actually learn to use one, just for the fun of it. I can't deny that they are fun, and they have a certain elegance to them.
However, as I'm learning to work with one, I'm struck by the -- to me -- very harsh limitation in significant digits.
In my mind at least, the whole point of a slide rule was to help you do calculations that would have otherwise been challenging to do quickly and easily with pen and paper. That's how I had always seen them.
Now, it seems that the net effective mantissa size on a slide rule is maybe in the range of 3 significant digits most of the time. Maybe, if you happen to get the right numbers, you can get somewhere in the range of 4 digits, or if you have a big rule, you can eek out 5. But at that point they aren't very portable.
But that effectively limits you to multiplying double digit numbers if you hope to preserve exact precision. And double-digit multiplication and division is darn near mental math territory, to say nothing of pen and paper efficacy. I can scribble out a solution to double and triple-digit math almost effortlessly and very quickly, with very little paper use.
And the moment you start doing tricks to increase the precision level, your operations for a solution start to be very close to the operations you need just to get the answer with pen and paper in the first place, and you have to resort to addition in many cases anyways. The mental load seems surprisingly high.
Now, I'll readily admit that my area of expertise is in Computer Science, and in that field, our normal working numbers are almost always outside of the range of the precision of a slide rule, and anything small is easily mentally calculated or pen and paper will do just fine, but importantly, if we need enough precision to get the precision level that I could get from a slide rule, then I'd definitely want enough precision for an exact answer, which would seem to make a slide rule a strange middle ground in which pen and paper is ironically better and faster at getting a good result for a computer scientist than would be a slide rule (assuming we wanted to avoid using electronics for calculating, for some weirdo reason).
That's surprising to me, and makes me wonder if I'm missing something or I am just really slow at using a slide rule? I mean, what am I missing? What can you possibly do well and precisely with a measly three digits of significance that can't be done just as easily with mental math or pen and paper?
I did some random number generations just to try doing some more complex calculations, such as
24265×95630
43136×77777
...
And so forth, but I couldn't easily get these numbers done with a slide rule in anywhere close to a smaller number of operations than just doing it with pen and paper. So, what am I missing here?