2319: Large Number Formats
| Large Number Formats |
 Title text: 10^13.4024: A person who has come back to numbers after a journey deep into some random theoretical field |
Explanation
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This explanation may be incomplete or incorrect: Created by ABRAHAM LINCOLN. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon. If you can address this issue, please edit the page! Thanks. |
This comic shows how to express large numbers.
25,259,974,097,204 The first normal person writes out the number in its entirety, but puts commas to indicate powers of 1000.
25 trillion The second normal person says the number in English, but approximates it to 2 significant figures so it won't be too long.
25 billion In most English, an n-illion means 10^(3n+3), so a trillion means 10^12. However, in older British English, an n-illion means 10^(6n), so a billion means 10^12.
2.526*10^13
| Number | Type of person | Notes | ||||
|---|---|---|---|---|---|---|
| 25,259,974,097,204 | Normal Person | This is the full number, written out in the normal fashion. | ||||
| 25 Trillion | Normal Person | This is the number, rounded to trillions in the normal fashion. | ||||
| 25 Billion | Old British Person | British English sometimes still uses "Billion" to mean "Million Million" (A thousand million is a "milliard"). | ||||
| Scientist trying to avoid rounding up: Using as many decimal places as necessary until hitting a digit (0-4) that results in rounding down, even if it goes against the common scientific practice of reporting the correct amount of "significant figures". |
} Transcript
 add a comment! ⋅ add a topic (use sparingly)! ⋅  refresh comments!DiscussionWouldn't Lincoln be: Two score and nine score and six score and fourteen score and seven score and one score and eighteen score and two score and three score score and four? 162.158.155.194 11:25, 14 June 2020 (UTC)
I've added the way I'm familiar with (Polish) to the "normal person in Europe outside of UK" caveat, but I think this still might be over-generalization to say that all Europe outside UK uses "." separator; I've actually never seen it used, but I've seen "'" used, even though I have no connection whatsoever with Switzerland. 162.158.154.175 11:13, 13 June 2020 (UTC)
Embridioum (talk) 22:18, 13 June 2020 (UTC)
(The above was posted (anonymously?) seconds before I could get mine in, so here it is in the original format.) This is probably completely irrelevant but it seems Randall made a small typo when trying to show a "Scientest trying to avoid rounding up." I assume it should be 2.525997*10^13. It seems he left out a 5 and a 2 and I say such because whether he forgot the 52 or 25 is up for debate. Relevant screenshot: [[1]] Also, if I'm just being completely daft and am missing something completely, please feel free to criticize me harshly and I'll go back to my little hideyhole. 108.162.237.24 22:21, 12 June 2020 (UTC)
I believe the "2.5997" was intentional, or at least I thought it was when reading it. At first I thought it was a typo, but Randall calls that number "Scientist trying to avoid rounding up" which makes me think Randall intentionally made that "mistake" as if the scientist had accidentally forgotten the first two digits (25) and used the remainder of the number (259974...), rounding it to "2.5997x10^13" Kirypto (talk) 23:03, 12 June 2020 (UTC)
As a (not so?) old British person, I approve. Let the Trillions come around later, when it's worth increasing the prefix to "level 3". Don't waste them on the more petty numbers. 162.158.155.122 23:13, 12 June 2020 (UTC)
I find it somewhat strange that Randall doesn't offer 25e12 or any of those variants (25.259...*10^12). I feel like a lot of "non-normal" people would map billion to E12 instead of requiring a single digit to the left of the decimal point. shrug JohnHawkinson (talk) 23:09, 12 June 2020 (UTC)
"What's an inch?" 162.158.62.119 23:18, 12 June 2020 (UTC)
As an article pointed out to me the other day that seemed obvious after it was said it's a non-tariff trade barrier used as American protectionism that doesn't get tariffed back. 172.69.63.81 (talk) 00:10, 13 June 2020 (UTC) (please sign your comments with ~~~~)
It seems nobody has pointed out that the power of 10 in the title text is really just the log(x) of the number, which is in fact very common in scientific contexts -> log(25,259,974,097,204) = 13.4024 Ianrbibtitlht (talk) 02:31, 13 June 2020 (UTC) The alternative would be for him to write 10^13.402432900872993447734410070128 (Rounded up). Notation that produces a longer string of digits than the original number seems useless on all fronts but somehow even more fun. I like the current explanation, though. It was insightful, IMO. -B- 162.158.106.126 17:14, 13 June 2020 (UTC) We have kept the olden ways here in the north. Miljon (10^6), miljard (10^9), biljon (10^12), biljard (10^15). Also, "biljard" is the same word as the game of pool in Swedish. Embridioum (talk) 07:17, 13 June 2020 (UTC)
Why *that* number? OK, so it's a big number (well, maybe not compared to all the other numbers). One oddity is that the prime factors are: 2 2 7 11 82012902913 7 11? Subliminal advertising? If you turn the big prime upside-down calculator style, you get: eigzogzlos8 I'm surprised that 5 and 23 are missing. In fact, that's almost suspicious.
I thought in all or most of Europe the thousands separator was a space not a dot. --162.158.238.4 03:09, 14 June 2020 (UTC)
Please refrain from using new sections in the comment section! --Kynde (talk) 06:43, 14 June 2020 (UTC)
Re: Software developer, the "power" operand varies wildly across programming languages, some do indeed use ^, some go for ** and some have to resort to something like a pow(x,y) function, but in the languages/dialects I use most the ** operator binds closer than (has order of precedence over) the * operator, so x*10**y would not be (10x)y as currently suggested in the Explanation. But ^ is the bitwise operator (lower precedence than *), so would do something even more 'interesting' to the result. Now, obviously, different codes for different coves and all - but I'm dredging my memory for all kinds of obscure scripting languages I've not used for years (what does COBOL do..? Forth is Reverse Polish. Lisp(is(more(Forward(Polish))))) not sure which one Randall is basing it on (if it's not just geek-sniping at its finest). 141.101.107.234 10:47, 14 June 2020 (UTC)
Speaking as a set theorist, I'd also describe that number as "Pretty small, just slightly bigger than 1." 162.158.154.73 11:44, 14 June 2020 (UTC) No comment in the explanation about the fact that inches are a pretty inadequate unit to express astronomical distances in the first place?162.158.155.224 08:57, 15 June 2020 (UTC)
The set theory bit is a bit too specific, and also not specific enough. This construction (the Von Neumann natural numbers) doesn't rely on details of the underlying set theory, so it will work just fine with theories other than the Zermelo-Fraenkel one. On the other hand, there exist other (less popular) constructions of the natural numbers using set theory, including one by Zermelo. Dfeuer (talk) 21:33, 15 June 2020 (UTC) set=∅=Empty set 0 set() 1 {set()} 2 {{set()}, set()} 3 {{set()}, {{set()}, set()}, set()} 4 {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()} 5 {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()}} 6 {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()}}, {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()}} 7 {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()}}, {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()}, {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), 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{{set()}, set()}, set()}, {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set(), {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()}}, {{{set()}, {{set()}, set()}, set()}, {set()}, {{set()}, set()}, set()}}} 18:55, 05 May 2021 i write it like the scientist but when typing it's like the programmer (the second one of the 2 under that category) because idk how to put the "to the power of" part in another way... the real question is: what's 2526*10^13 inches in metres? i don't measure distances with body parts edit: when speaking i just say "1 trillion" (or "1 billion" when speaking in spanish :D) another edit: i don't use separators for some reason An user who has no account yet (talk) 12:41, 5 September 2023 (UTC)
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