$7.18 as a fraction$ $7.18 as a fraction$

7.18 AS A FRACTION CODE

While pathological cases do exist, for most casual use of floating-pointĪrithmetic you’ll see the result you expect in the end if you simply round theĭisplay of your final results to the number of decimal digits you expect. That every float operation can suffer a new rounding error. Tasks, but you do need to keep in mind that it’s not decimal arithmetic and Wary of floating-point! The errors in Python float operations are inheritedįrom the floating-point hardware, and on most machines are on the order of no Also seeįor a more complete account of other common surprises.Īs that says near the end, “there are no easy answers.” Still, don’t be unduly Problems commonly encountered in practice. See Examples of Floating Point Problems forĪ pleasant summary of how binary floating-point works and the kinds of

$7.18 as a fraction$

With “0.1” is explained in precise detail below, in the “Representation Error” pi, ndigits = 2 ) = round ( 22 / 7, ndigits = 2 ) Trueīinary floating-point arithmetic holds many surprises like this. (although some languages may not display the difference by default, or in allįor more pleasant output, you may wish to use string formatting to produce a Thing in all languages that support your hardware’s floating-point arithmetic

7.18 AS A FRACTION CODE

In Python, and it is not a bug in your code either. Note that this is in the very nature of binary floating-point: this is not a bug Python 3.1, Python (on most systems) is now able to choose the shortest of

$7.18 as a fraction$

Historically, the Python prompt and built-in repr() function would choose While still preserving the invariant eval(repr(x)) = x. Values share the same approximation, any one of them could be displayed Interestingly, there are many different decimal numbers that share the same Of 1/10, the actual stored value is the nearest representable binary fraction. Just remember, even though the printed result looks like the exact value

$7.18 as a fraction$