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People expect computers to be entirely accurate and precise with numbers. You know, you grow up with calculators. You expect that if you type in: 0.1 + 0.2, you expect it to come out to 0.3. And sooner or later every programmer, as theyre learning, tries something like that. And they type it into a programming language. Something like 0.1 + 0.2, and they will hit Enter, and what the computer will give them is something like 0.3000000001. And at that point, they will have started to learn about floating point numbers, and they will be starting to tear their hair out. Floating point numbers are essentially scientific notation. For the uninitiated, lets say youre an astrophysicist, and you have the speed of light, which is this enormous number with eight 0s after it. And you want to multiply it by a tiny distance. It doesnt really matter what were measuring here, its just a big number and a small number. Lets say, 0.00000015. Lets say you want to multiply these tw