https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:division-zero/v/why-dividing-by-zero-is-undefined 2020-12-28T16:56:57Z Why dividing by zero is undefined As much as we would like to have an answer for "what's 1 divided by 0?" it's sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be ​true, because anything times 0 is 0. Sal Khan video https://cdn.kastatic.org/googleusercontent/2pCDYYQzQOStruWzcfFqboPcnBgEabOH496P6_aLrYvMWXrwsMsOaAvsUcSenrsOmLjioUDlF8o60dWJPk--fMU Why dividing by zero is undefined As much as we would like to have an answer for "what's 1 divided by 0?" it's sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be ​true, because anything times 0 is 0. https://cdn.kastatic.org/ka-youtube-converted/SQzjzStU1RQ.mp4/SQzjzStU1RQ.mp4 248 Division by zero https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:division-zero/v/why-zero-divided-by-zero-is-undefined-indeterminate 2021-01-25T15:40:04Z The problem with dividing zero by zero One can argue that 0/0 is ​0, because 0 divided by anything is 0. Another one can argue that 0/0 is ​1, because anything divided by itself is 1. And that's exactly the problem! Whatever we say 0/0 equals to, we contradict one crucial property of numbers or another. To avoid "breaking math," we simply say that 0/0 is undetermined. Sal Khan video https://cdn.kastatic.org/googleusercontent/nii4XaVKAwEPhH5ZUZbTofEjVoJsvbKoMU-JgBhZCWn12AmBAx47U6-NG_mwRqmr1hvpUfgU4t8ims3abLCqf3fBOg The problem with dividing zero by zero One can argue that 0/0 is ​0, because 0 divided by anything is 0. Another one can argue that 0/0 is ​1, because anything divided by itself is 1. And that's exactly the problem! Whatever we say 0/0 equals to, we contradict one crucial property of numbers or another. To avoid "breaking math," we simply say that 0/0 is undetermined. https://cdn.kastatic.org/ka-youtube-converted/PDReqvXfkBA.mp4/PDReqvXfkBA.mp4 146 Division by zero https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:division-zero/v/undefined-and-indeterminate 2020-12-28T16:56:57Z Undefined & indeterminate expressions Revisiting the problems of dividing any number by zero and dividing zero by zero. Using general mathematical considerations, we see why those are undefined and indeterminate problems. Sal Khan video https://cdn.kastatic.org/googleusercontent/s7cc7mwuETPcHpm6tgxhfHDrN3P6kp4zyyN3VHx8XLrxwtsLyuihhixaRvY1HPF0oDMeL8-Bp7Jj5xE6a2StTE9FnA Undefined & indeterminate expressions Revisiting the problems of dividing any number by zero and dividing zero by zero. Using general mathematical considerations, we see why those are undefined and indeterminate problems. https://cdn.kastatic.org/ka-youtube-converted/lHdlHTsXbZg.mp4/lHdlHTsXbZg.mp4 452 Division by zero https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:division-zero/a/algebra-foundations-faq 2023-01-05T23:21:50.258247214Z Algebra foundations: FAQ Frequently asked questions about algebra foundations article