2687: Division Notation

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Division Notation

Title text: Science tip: Scientists hardly ever use the two-dot division sign, and when they do it often doesn't even mean division, but they still get REALLY mad when you repurpose it to write stuff like SALE! ALL SHOES 30÷ OFF!

Explanation

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Transcript

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Discussion

Fun fact: In Poland, we don't write the long division like that; we just write A:B with the bar above. I was VERY confused the first time I saw that notation. 172.70.246.235 21:03, 19 October 2022 (UTC)

Unrelated to Polish notation, i presume? 172.70.134.13 22:43, 19 October 2022 (UTC)Bumpf

Unrelated. Never used Polish notation in school. 172.71.160.23 10:25, 20 October 2022 (UTC)

In German elementary school we learned the a:b notation. When we learned more complex divisions in secondary school it was with the "scientist" notation. And as I am a software engineer AND (presumably) a normal person I use in general the respective notations. Elektrizikekswerk (talk) 07:24, 20 October 2022 (UTC)

For me, the version on the xkcd website has an additional line ("A/B: Software Engineer") that's not on this site. I think the comic might have been updated. Is anyone else seeing that? JBYoshi (talk) 23:20, 19 October 2022 (UTC)

Updated. Natg19 (talk) 00:31, 20 October 2022 (UTC)

For the Unicode one, I think it’s a reference to ⁄ (U+2044, fraction slash) or characters like ½, ¼, etc. - Cherryblossom (talk) 00:24, 20 October 2022 (UTC)

Is it important to note that 1/2 auctocorrects to ½ in many text-based programs like Microsoft Word?--Theunlucky (talk) 02:32, 20 October 2022 (UTC)

It's possible to use fraction-style notation in LaTeX by using \frac, or am I missing something?--162.158.2.125 05:49, 20 October 2022 (UTC)

"the long division symbol is only used in some countries". Only English-speaking ones, to be more precise. Most of the countries of the world use a different notation. 172.68.51.80 06:19, 20 October 2022 (UTC)

In the UK, the 'long division symbol' is nowadays often referred to (particularly with Primary classes, children aged 4 - 11) as the "Bus Stop Method". Because it looks like a UK bus shelter. MarquisOfCarrabass (talk) 07:07, 20 October 2022 (UTC)

I always used (still use, on the rare occasions that I do it) the notation inverted - B)_A - so that the answer is output beneath the problem, which makes more sense to me, given that we generally read down the page. I guess that would be a vandalised bus stop?172.70.162.147 09:16, 20 October 2022 (UTC)

When doing long-division, the intermediary sums (the calculated 'integer remainders' subtractions of progressively high-to-low powers of ten) would be done below in the 'standard' long-multiplication/addig/subtraction direction. The answer-figure is progressively created by the 'carry'-inverse to these more normal-looking arithmatic. Or so I surmise. Haven't used long-division, much, in 40 years or so (except in a polynomial-factoring thing, occasionally, using an extended version of the principle upon powers-of-whatever) so I might have the wrong-idea as to why the answer goes high (in that the non-answer that nevertheless leads to the answer goes low). ;) 162.158.159.29 16:17, 20 October 2022 (UTC)

For me, the remainders go in small figures above the next integer, so that they basically form a new number to divide.172.70.86.48 08:27, 24 October 2022 (UTC)

As a Dutch primary schoolchild, I have used a÷b for calculations and "a over b" for fractions (e.g. ⅘). For more difficult divisions, like what is 785/35, we used Staartdelingen (nl), long division, of which the primary notation is 35/735\. I think in early highschool we started using a over b for more complex calculations, "like (x+3) over 5 = 2, what is x". I had up to this XKCD never seen B⟌A, and would confuse it for what we use as square root symbol (√). IIVQ (talk) 07:16, 20 October 2022 (UTC)

Come to think of it, it's kind of odd that we used ":" for division. Why are there this many different division notations anyway? Same for multiplication. There's x, *, ⋅, x but centered vertically, and concatenation (for letter variables)!

The : operator is for ratios, where a:b could be a/b or b/a, but also metaphors, where a:b::c:d means a is to b as c is to d. 162.158.166.73 09:05, 20 October 2022 (UTC)

In Austria, school children are using the "scientist" notation from this comic. 172.68.50.51 08:17, 20 October 2022 (UTC)

Same thing in Russia 172.71.98.97 08:46, 20 October 2022 (UTC)

I live in Denmark, and “÷” seems to be often used here for subtraction, instead of a minus sign! Got confused a few times. nicolas (talk) 08:52, 20 October 2022 (UTC)

Also from DK and have often seen ÷ used as % and on my keyboard as I type this there is a ÷ on the number part of the keyboard to the right. But when I push it I get this: "/" In school we used this A:B to mean A/B, just as in Poland as mentioned above. Today I would write 10/2 not 10:2 or 10÷2. But I never used the last version. --Kynde (talk) 19:08, 23 October 2022 (UTC)

tableau

tab·leau /ˌtaˈblō/ noun

a group of models or motionless figures representing a scene from a story or from history; a tableau vivant. "in the first act the action is presented in a series of tableaux"

I don't think it means what the editor including it thinks it means. 172.69.22.185 09:02, 20 October 2022 (UTC)

"A graphic description or representation" - https://www.merriam-webster.com/dictionary/tableau

It derives from the idea of 'things set out on a table'. The arrangement of cards in a solitaire game is also called a tableau. 172.70.162.147 09:24, 20 October 2022 (UTC)

changed to radices. 172.70.206.93 10:18, 20 October 2022 (UTC)

Well that's not right, is it? - "the pungent usually crisp root of a widely cultivated Eurasian plant (Raphanus sativus) of the mustard family usually eaten raw"... 172.71.178.13 13:22, 20 October 2022 (UTC)

Naw... A radish is "like, almost 'rad', man, but not quite!", while "radices" are totally cool freezer-food!

The discussion of matrices and commutative rings is off topic. The comic is clearly about scalars alone. Please! 172.69.134.17 20:46, 20 October 2022 (UTC)

I thought it seemed on topic given the joke and demographic, but I think it could be presented better. 172.70.110.231 02:07, 21 October 2022 (UTC)

i type it as seen in 2 (counting the 2 schoolchilds as 1) and write it by hand as seen in 3 --an user who has no account yet 172.68.134.21 (talk) 15:05, 2 September 2023 (please sign your comments with ~~~~)