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Learn the key differences between `math.remainder()` and `math.fmod()` in Python3, and how to effectively use these functions for mathematical calculations. --- This video is based on the question https://stackoverflow.com/q/67660098/ asked by the user 'Supratim Ghosh' ( https://stackoverflow.com/u/16007943/ ) and on the answer https://stackoverflow.com/a/67661163/ provided by the user 'DocDriven' ( https://stackoverflow.com/u/8334261/ ) at 'Stack Overflow' website. Thanks to these great users and Stackexchange community for their contributions. Visit these links for original content and any more details, such as alternate solutions, latest updates/developments on topic, comments, revision history etc. For example, the original title of the Question was: What is the difference between math.remainder() and math.fmod() in python3? Also, Content (except music) licensed under CC BY-SA https://meta.stackexchange.com/help/l... The original Question post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/... ) license, and the original Answer post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/... ) license. If anything seems off to you, please feel free to write me at vlogize [AT] gmail [DOT] com. --- Understanding the Difference Between math.remainder() and math.fmod() in Python3 When diving into Python programming, particularly in mathematical operations, you may encounter a couple of functions that appear to serve similar purposes yet yield different results. Today, we're specifically looking into the difference between math.remainder() and math.fmod() in Python3. Let’s break down these functions, understand their use cases, and clarify the differences for better coding practices. Introduction to math.remainder() and math.fmod() Both math.remainder() and math.fmod() are part of the math module in Python and are used to perform operations related to finding the modulus of two numbers. However, how they compute this value can lead to different results. What Are These Functions? math.remainder(x, y): This function returns the difference between x and the closest integer multiple of y. The choice of the closest integer is crucial for understanding its output. math.fmod(x, y): On the other hand, fmod computes the modulus operation in a way that is consistent with the mathematical definition of modulus, always returning a result with the same sign as x. Exploring Through Examples To clarify the differences further, let’s explore some examples with sample input numbers: Example 1: When x is a Multiple of y [[See Video to Reveal this Text or Code Snippet]] Explanation: In this case, since 20 is exactly divisible by 4, both functions return a result of 0.0. Example 2: When x is Not a Multiple of y [[See Video to Reveal this Text or Code Snippet]] Explanation: Here’s where the difference becomes evident! remainder(20, 3) returns -1.0 because 20 is closer to 21 (the next multiple of 3), leading to a difference of -1.0 from the nearest multiple. fmod(20, 3) returns 2.0, which simply reflects the mathematical modulus 20 mod 3, thus showcasing a remainder of 2. Summary of Differences To help solidify your understanding, here’s a simple summary of the main points: math.remainder() Returns the difference to the nearest multiple. May return a negative result. math.fmod() Always gives a result with the same sign as x. Consistent with the mathematical definition of modulus. Conclusion Understanding the differences between math.remainder() and math.fmod() can greatly enhance your mathematical coding abilities in Python. When deciding which function to use, consider what result you expect and how close you need it to the nearest multiple. Experimenting with different values can help solidify your understanding of these two essential functions. With this knowledge, you’ll now be equipped to make informed decisions while working on mathematical calculations in your Python projects!