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Chat => General Discussion => Topic started by: Dave on February 13, 2007, 15:51:02 PM

Title: mental arithmatic help
Post by: Dave on February 13, 2007, 15:51:02 PM
does anyone have any links to websites for techniques for improving mental arithmetic speed - I used to be pretty sharp at it when I was like 15 but am a bit rusty now

general straight forward multiplication i.e. 274 *137

basically I want to get to the point where I can produce an answer in under 2 seconds for any 3 digit combinations

also something like

(2*108.33) - 114.73

or (3*108.33) - (2*114.73)
Title: Re:mental arithmatic help
Post by: Rivkid on February 13, 2007, 16:15:08 PM
Whoa thats all kinds of too much hard work.


Im off to read Spot The Dog for a couple of hours to get back to normal!  :D



Seriously though fair play that stuff is something I just plain cant do.
Title: Re:mental arithmatic help
Post by: Clock'd 0Ne on February 13, 2007, 16:18:24 PM
Yeah whats with trying to introvert your sadist streak? :lol:
Title: mental arithmatic help
Post by: Mongoose on February 13, 2007, 16:36:54 PM
Quote from: Davegeneral straight forward multiplication i.e. 274 *137

basically I want to get to the point where I can produce an answer in under 2 seconds for any 3 digit combinations

I suggest Sapho juice


it is by will alone I set my mind in motion.......
Title: mental arithmatic help
Post by: Porch Monkey on February 13, 2007, 17:01:44 PM
Practice practice practice. Your brain is like most other organs, if you excersise it in a certain manner it will adapt to deal with that better.


I am the Qumkuat Haagen-Daas... :P
Title: Re:mental arithmatic help
Post by: Dave on February 13, 2007, 17:22:19 PM
yeah was kind of looking for shortcuts/tricks

IIRC there was some japanese or chinese guy who taught kids to be super quick with an abacus - later hed take the abacus away and the kids would picture a mental abacus.

Basically he ended up with a classroom full of kids who could do say 482348*27549 in a couple of seconds.
Title: mental arithmatic help
Post by: Cheule on February 13, 2007, 17:40:14 PM
Ive always worked out straight mathematical problems differently to most people. They will use the tried and trusted "1 plus 8, carry one, 2+9, carry two..." etc, whereas Ive always done this:

Say I need to know what 146 times 72 is.

Firstly, Id multiply 100 by 72 which = 7200.
Then, knowing I need to know what 46 x 72 is, Id do the easy thing and just multiply 50 x 72. Seeing as we already know that 100 x 72 = 7200 then 50 x must be 3600. But we have 4 x 72 too many dont we. So it equals 3600-288(3312).

So, we have 7200+3312=10512.

It sounds like a lot but once you get the hang of it and can keep several numbers in memory while you make the calculation, it gets easier.

So here is another example without all the yabbering:

216 * 450

216 * 400 = 84400

216 * 50 = (216 * 100) / 2) = 10800

84400 + 10800 = 95200.
Title: mental arithmatic help
Post by: Mongoose on February 13, 2007, 18:14:33 PM
Quote from: CheuleIve always worked out straight mathematical problems differently to most people. They will use the tried and trusted "1 plus 8, carry one, 2+9, carry two..." etc, whereas Ive always done this:

Say I need to know what 146 times 72 is.

Firstly, Id multiply 100 by 72 which = 7200.
Then, knowing I need to know what 46 x 72 is, Id do the easy thing and just multiply 50 x 72. Seeing as we already know that 100 x 72 = 7200 then 50 x must be 3600. But we have 4 x 72 too many dont we. So it equals 3600-288(3312).

So, we have 7200+3312=10512.

It sounds like a lot but once you get the hang of it and can keep several numbers in memory while you make the calculation, it gets easier.

I work the same way since Ive never been able to remember times tables. Instead I taught myself to figure them out starting from the easy ones (2 and 10). I never multiply anything by 5 for example, I find it quicker to halve it and multiply by 10. By the time I finished that stage of my schooling I was top of the class at tables tests, despite still not knowing any of them.

Ive never taken it as far as multiplying 3 digit numbers in my head though, to remember that many numbers at once I need a piece of paper.
Title: Re:mental arithmatic help
Post by: Cypher on February 13, 2007, 18:20:09 PM
Dr Kawashimas Brain Training?  :lol:
Title: mental arithmatic help
Post by: Leon on February 13, 2007, 18:21:39 PM
Quote from: Davedoes anyone have any links to websites for techniques for improving mental arithmetic speed - I used to be pretty sharp at it when I was like 15 but am a bit rusty now

general straight forward multiplication i.e. 274 *137

basically I want to get to the point where I can produce an answer in under 2 seconds for any 3 digit combinations

also something like

(2*108.33) - 114.73

or (3*108.33) - (2*114.73)

To be honest it would take me a few minutes (or more) to figure those out... Phone has a calc... that does me
Title: mental arithmatic help
Post by: Edd on February 13, 2007, 19:02:54 PM
i have severe problems with numbers, i have dyslexia in numbers as it were, there have been a few occasions where its quicker for me to ask someone "whats 35+7?" instead of working it out
Title: Re:mental arithmatic help
Post by: Dave on February 13, 2007, 19:18:51 PM
Cheule - that is pretty much what I do at the moment

I guess I just need to practice & keep going over my times tables

(basically Ive got an interview where they are going to be firing off random mental maths questions at me - Ive got through the first two stages for this particular firm so dont want to blow it now because Ive got rusty at doing stuff that I used to be pretty quick with when I was 15)
Title: mental arithmatic help
Post by: Cheule on February 13, 2007, 20:22:53 PM
I suppose its easier when you practice it as much as I do - some of my work includes auditing, we have pallets of stuff I have to quickly add up by looking at how many are on a layer (say 28) by the number of layers (say 9, which to me is 280-28=252). Often times I come across the same sorts of numbers to I can often skip some of the calculations as I remember the results already.

Dave - I hear you on the getting older bit. Unfortunately :(

EDIT: Oh, and good luck with the job mate!
Title: Re:mental arithmatic help
Post by: Serious on February 13, 2007, 23:10:48 PM
Quote from: Daveyeah was kind of looking for shortcuts/tricks

IIRC there was some japanese or chinese guy who taught kids to be super quick with an abacus - later hed take the abacus away and the kids would picture a mental abacus.

Basically he ended up with a classroom full of kids who could do say 482348*27549 in a couple of seconds.

I had a book that claimed to offer that sort of training ... forgot where I put it  :whoops:
Title: mental arithmatic help
Post by: bear on February 13, 2007, 23:20:08 PM
Dont u have to have the savant syndrome to be able to do that ?

yes breaking down into easy to count parts is a good method
Title: Re:mental arithmatic help
Post by: Serious on February 14, 2007, 01:54:33 AM
No, while the book claimed it the technique was originally aimed at children with learning difficulties it claimed anyone could learn the methods used. Trouble is they didnt count on my bad memory for losing things... :/
Title: mental arithmatic help
Post by: Porch Monkey on February 14, 2007, 13:01:36 PM
Yeah, there have been Schools in the far east that have taught abacus mathmatics and if you get good at it you can be very fast.

But again it takes time and training, no easy shortcuts for mental agility Im afraid.
Title: Re:mental arithmatic help
Post by: mrt on February 14, 2007, 13:19:49 PM
I think Carol Vordamen has a book out which aims to train your brain into remembering maths calculations etc.  

http://www.amazon.co.uk/Super-Brain-Easy-Ways-Agile/dp/0091917026/sr=8-1/qid=1171458967/ref=pd_ka_1/202-8062630-4517461?ie=UTF8&s=books

Also, she was on BBC Radio 2 promoting another book for training your brain for numbers calculations etc, Type "carol vorderman train your brain" into Google, you can see the top link. (sorry link blocked at work!)
Title: mental arithmatic help
Post by: redneck on February 14, 2007, 14:37:44 PM
buy a ds, then buy brain training.

problem solved.