| This is useful but note that Python uses 64-bit floats (aka "double"), so the right values are: • "13.716" means 13.7159999999999993037 (https://float.exposed/0x402b6e978d4fdf3b) • "4.572" means 4.57200000000000006395 (https://float.exposed/0x401249ba5e353f7d) • "13.716 / 4.572" means the nearest representable value to 13.7159999999999993037 / 4.57200000000000006395 which (https://www.wolframalpha.com/input?i=13.7159999999999993037+...) is 3.0 (https://float.exposed/0x4008000000000000) • "13.716 % 4.572" means the nearest representable value to 13.7159999999999993037 % 4.57200000000000006395 namely to 4.5719999999999991758 (https://www.wolframalpha.com/input?i=13.7159999999999993037+...), which is 4.57199999999999917577 (https://float.exposed/0x401249ba5e353f7c) printed as 4.571999999999999. ———————— Edit: For a useful analogy (answering the GP), imagine you're working in decimal fixed-point arithmetic with two decimal digits (like dollars and cents), and someone asks you for 10.01/3.34 and 10.01%3.34. Well, • 10.01 / 3.34 is well over 2.99 (it's over 2.997 in fact) so you'd be justified in answering 3.00 (the nearest representable value). • 10.01 % 3.34 is 3.33 (which you can represent exactly), so you'd answer 3.33 to that one. (For an even bigger difference: try 19.99 and 6.67 to get 3.00 as quotient, but 6.65 as remainder.) |