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I'm not that good at maths but I was wondering if it would be better if the article started with the x12 method. I didn't have a clue about the lengthy opening paragraphs about the algorithms but as soon as I saw the example given for x12 it took me five minutes to work out (as in understanding what
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Not really. By solving the problem in columns instead of rows as we were taught you can add up the numbers immediately upon finding them. I've been doing 4x4 and 5x5 digit multiplication in my head with this system. As I find each number, I add it in to the running total in my head. There are no
772:
Find the product of 111 x 12. Add a zero to the start of the multiplicand (the number that is to be multiplied) so 01111. Start from the right and double each figure and add the right neighbor. The first figure has no neighbor and therefore receives no addition. Note that the prefix zero has to be
544:
I've recently learned this system and I've found it very interesting. However, this article contains several points of misinformation and confusion caused by differences from different contributors. I've already changed the topic for
Multiplying by 5 and intend to make some other changes in the
232:
I have now checked the book on the
Trachtenberg system. There is no claim or intent to be a mental, paperless methodology. Perhaps some use it that way. but the examples given use very large numbers and explanations of pencil work. It would be near impossible for any ordinary person to do these
564:. I had all the rules for 3 thru 12 but I commented out several of them. I began to feel that it was too much information. This is an enclyclopedia, not a training seminar. I also improved the cohesion between sections and corrected the citations. Please let me know what anyone thinks.
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Finally, the bulk of the article covers on multiplication, and only partially, even though the actual system also includes addition, division, and other special case stuff like certain squares. It seems odd to include so much detail about certain multiplicative cases when the others are left
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this is not a translation problem IMO. The french and english articles are equally ambiguous. I have studied math in both fr. and eng. and voisin / neighbour do not have any special meaning. I would suggest that study of the method, not the french text, is needed to discover the accurate
203:
I removed the phrase 'without pencil and paper'. I don't believe such a claim is made for the trachtenberg system. The system allows one to work quickly, even for large numbers. I will double check this, but I feel sure enough to make the edit for now.
907:
The C++ example is overly complicated. Instead of all the added complexity of classes and OOP, the example (which I agree should be there) should be more like pseudo-code. At the very least, it should be procedural and not object-oriented.
258:
saving numbers for later use. Trachtenberg did develop this method in a concentration camp without the benefit of paper or pencil. Of course, I do have to write down each digit of the answer as I find it. Perhaps that is what you meant.
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as previously mentioned I did a quick and clumsy rewrite of one of the examples. but the whole article needs work. The examples may make sense to someone familiar with the trachtenberg system but others would be confused. enhandle
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the example was illustrating). I always think that simple examples are far better for non-mathematicians. It would be great for readers if there was an early heading: A simple example of the multiplication method using x12
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The "crown jewel" of the
Trachtenburg system is a rapid method of multiplication of two numbers each of arbitrary number of digits. It is called the "two finger method", and this article ought to have a description of it.
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I agree. I used to be able to do up to about 3 x 3-digit multiplication without a pencil, but anything higher and the digit stacks get too long for me to remember. There are only so many
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I added a brief explanation as to what halving meant, and how it's supposed to speed things up. But it really could use a treatment of how to add, multiply, and square things quickly. --
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I've started a rewrite on this article, but I've been informed that an entire rewrite is not advisable without a discussion on this talk page. The rewrite can be found
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Once again remember the carry one. This process is continued until you reach the zero when you add in the neighbour only. In this case the 1 and there is no carry.
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The second step , mark above the 4 and we now have a neighbour to the right, the 5. Double the number , add in the neighbour and the carry 8 + 5 + 1 = 14
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I recorded on the page for Jakow
Trachtenberg the year 1965 for its publication in London by Pan Books, per the copy of this book in my possession.
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It isn't good because it is never defined in the relevant context. What does it mean? Digit to the left? Digit to the right? Both? Something else?
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First put zeros in front , 2 this time as we are multiplying by a 2 digit number. At each step mark the number you are dealing with. First Step
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Actually, rule 2 exists because of rule 1. You add five when the current digit is odd in anticipation of dropping the 0.5 in the next digit.
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When you perform a multiplication first write down the number to be multiplied on paper and then perform the calculation from right to left.
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But because all of this is not in the book it falls under the catagory of "original research" and can not be included in the main article.
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The 'neighbour is the one to the right of the 5 ... NO Neighbour. So just double the number and the result goes below the marked number.
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I also am now forced to wonder at the comparison to Vedic. perhaps. perhaps not. I do not have the time or inclination to research it.
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Why does this keep happening? It's super obvious to people who are researching the subject and already checked the
Knowledge article.
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The word translated here as "neighbor" is unclear in its meaning. Can someone nail that before I remove this and call it complete? --
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When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
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I disagree about the irrelevance of the link: it is clearly software for practicing
Trachtenburg method as described in the book.
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I have rearranged the order of the simple number rules because there is a pattern to the rules that the book never explains.
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future. I may completely rewrite the article. I haven't decided yet. If this causes problems for anyone, please let me know.
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This article is very confused. I don't have time to clean it up right now, but whoever does should have a look at
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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If you have discovered URLs which were erroneously considered dead by the bot, you can report them with
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Addendum #2: If the rule states to add half the neighbor, always add five if the current digit is odd.
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I rewrote the demonstration of multiplication by 12. I hope it is clearer. It could still use work.
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https://web.archive.org/web/20130106190645/http://vedicmaths.org/Other%20Material/Trachtenberg.asp
365:: One of the external links is to a website that advertises a product. Should I delete that link?
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Much of this is rather incoherent. In particular the meaning of "neighbor" is very confusing. --
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before doing mass systematic removals. This message is updated dynamically through the template
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If you found an error with any archives or the URLs themselves, you can fix them with
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Addendum #1: If the rule states to add half the neighbor, always drop any 0.5 you get.
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Find the product of 444 x 12. When a step produces ten or above carry the one.
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Hope this helps convert someone to a brilliant way of doing arithmetic ......
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the result being 10 you have to carry the 1 to be added in the next step.
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you always have to add a 0 at the left, one for each digit of the multiplier
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This section is uselessly unreadable. Ugh. What a waste of server space.
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Not really a translation issue, can be dealt with in the usual manner --
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add a zero and divide by 2. Not
Trachtenberg but it works ;-)
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And rule 5 is it's own animal and falls outside any pattern.
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http://hucellbiol.mdc-berlin.de/~mp01mg/oldweb/1mutrach.htm
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for additional information. I made the following changes:
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Could someone find the year of publication for the book?
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http://vedicmaths.org/Other%20Material/Trachtenberg.asp
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Modified the article to avoid any copyright problems.--
337:: Material to incorporate into English-language article
101:, a collaborative effort to improve the coverage of
844:using the archive tool instructions below. Editors
830:This message was posted before February 2018.
773:calculated (double 0 then add the neighbor).
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944:https://artofmemory.com/Trachtenberg_System/
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308:Indeed. The following is moved from
244:in the human brain, after all ^_^ --
95:This article is within the scope of
291:neighbour always means to the right
38:It is of interest to the following
310:Knowledge:Translation into English
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978:Mid-priority mathematics articles
804:. Please take a moment to review
439:Trachtenberg X 12 multiplication.
115:Knowledge:WikiProject Mathematics
973:Start-Class mathematics articles
748:Non-mathematicians point of view
118:Template:WikiProject Mathematics
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521:I agree. Multiply x 5???? : -->
135:This article has been rated as
487:11:35, 16 September 2007 (UTC)
1:
668:the remaining digits counting
555:21:55, 31 December 2010 (UTC)
186:08:03, 29 December 2006 (UTC)
109:and see a list of open tasks.
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294:you work from right to left
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959:05:17, 30 April 2024 (UTC)
918:17:19, 18 April 2019 (UTC)
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797:Hello fellow Wikipedians,
769:How about these examples:
670:backwards except 10 and 5
176:http://www.speed-math.com/
927:por traduzam este artigo
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431:23:40, 15 July 2007 (UTC)
422:17:29, 15 July 2007 (UTC)
381:21:44, Sep 16, 2004 (UTC)
372:21:44, Sep 16, 2004 (UTC)
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359:05:12, Aug 7, 2004 (UTC)
348:00:43, 29 May 2004 (UTC)
249:08:00, 16 May 2005 (UTC)
222:08:00, 16 May 2005 (UTC)
141:project's priority scale
793:External links modified
728:0.5 Hundreds = 5 Tens.
666:The remaining rules are
341:Originally Requested by
321:fr:MĂ©thode Trachtenberg
98:WikiProject Mathematics
28:This article is rated
513:comment was added at
446:Let's say 12345 x 12
276:this is very confused
842:regular verification
727:Example: 632 --: -->
580:Reorder of the rules
388:is fine. It's good.
384:using neighbour for
233:things in his head.
121:mathematics articles
832:After February 2018
802:Trachtenberg system
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330:Trachtenberg system
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90:Mathematics portal
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404:Two-finger Method
355:: completed by --
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509:—Preceding
363:Other notes
112:Mathematics
103:mathematics
59:Mathematics
30:Start-class
967:Categories
893:Report bug
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452:* 0012345
357:Frenchgeek
260:Netherstar
208:needs work
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929:Lil dripp
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882:Cheers.—
634:Half 12
588:Pattern
246:Eienmaru
219:Eienmaru
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317:Article
139:on the
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