[ODia]

________________________________

From: John Morrison <jfm1061@...>

To: wwbc@yahoogroups.com

Sent: Sunday, February 22, 2009 3:43:31 AM

Subject: Re: [wwbc] Correction

Thank you for your kind words. We both are in agreement with doing math from the left and not the right side. The next step in this method is to do the math entirely in your head. For example, I would look at 34*36, and quickly think "9 is the leftmost number". The hidden number is 30, (18 + 12). 9 + 30 = 120 which is the partial answer. 24 is the rightmost number. Final answer 34*36 = 1224. Most times I can calculate the problem in 10 seconds.

--- On Sat, 2/21/09, Oumarou DIA <oumardia@yahoo. com> wrote:

From: Oumarou DIA <oumardia@yahoo. com>

Subject: [wwbc] Correction

To: wwbc@yahoogroups. com

Date: Saturday, February 21, 2009, 4:10 AM

1. The idea of 'right' is great, it is the multiplication of the 'leftmost' digits should be rightmost digits

2. The idea of 'left' is equally great, it is the multiplication of the 'rightmost' digitsshould be lefttmost digitsSorry for the inconvenience

[ODia]

----- Forwarded Message ----

From: Oumarou DIA <oumardia@yahoo. com>

To: wwbc@yahoogroups. com

Sent: Friday, February 20, 2009 8:26:21 PM

Subject: Re: [wwbc] Hidden Numbers or Center Numbers

Thank Thank you very much you are a genius. And that

is what geniuses do; they do the theoretical thinking and then come the regular

guys like me toy and struggle with the idea and try to simplify it.

What do you think of below?

1. The idea of 'right' is great, it is the

multiplication of the 'leftmost' digits

2. The idea of 'left' is equally great, it is the

multiplication of the 'rightmost' digits

3. The idea of 'hidden numbers' can be made

easier to understand; I propose to call them the 'Center Numbers'. It is the

addition of a)the multiplication of the 'innermost numbers in the center' and b)

the multiplication of the 'outermost numbers in the center'

4. Now for the resolution. I may be wrong but I

happen not to think that doing math from the left side is 'the more natural way'.

What I propose is simply put the 'right' and the 'left' numbers side by side by

respecting their right and left positions; once that is done, place underneath the two 'attached numbers' (that is placed side by side) exactly at the center position the 'innermost'

multiplication and then underneath, also at the center position the 'outermost'

multiplication (the order in which this is done does not matter). Then do the

addition and there you get the solution.

5. Note: when the multiplications yield single

digits add a zero in front of them. For instance 6*1 =6 and '6' would be placed

as '06'

Let us illustrate:

91*93

left is 81

Right is 03

Innermost center is 09

Outermost center is 27

Let us 'attach left and right' side by side; we obtain 8103

Then let us place 09 and 27 underneath the attached digits and do the addition

8103

09

27

----------

8463

Many thanks! You are great! If I am wrong or made a mistake please let me know!

L

[ODia]

____________ _________ _________ __

From: jfm1061 <jfm1061@yahoo. com>

To: wwbc@yahoogroups. com

Sent: Thursday, February 19, 2009 9:59:38 PM

Subject: [wwbc] Hidden Numbers

Math tricks are great for understanding the magic of math. But you

should be able to do math in a logical manner. I use a method of

math to train my mind for logic and pattern recognition. It is

the "hidden number" system. Most people should know the times tables

by heart. So for example, if you see 2*6 you will call out 12 without

much thought. Sadly, there are still many adults who are not able to

do simple mental math.

I have come up with a way to focus the mind on the simple parts and

discover the hidden parts of math. Start with pen and paper and work

your way up to mental math.

Look at this. 23*45. What are the obvious numbers? From left to

right, you can see 8 and 15. Because 2*4 is 8 and 3*5 is 15. What

you cannot see is the hidden number 22. The hidden number is the

secret to the entire problem. It brings the left and right side

numbers together. Learn to spot the hidden number and you will be

able to solve 2 by 2 multiplications with ease.

Look at the problem again. 23*45 = 8-22-15. Adding for the left

only the tens digits, 8 plus 2 is 10, attach the 2 in the ones

column. You have partial answer of 102. Add the 1 from 15 and attach

the 5 for the final answer 1035.

You will be doing math from the left side (the more natural may) and

when you have a single digit number next to a pair. YOU ONLY PLACE

IT ALONG SIDE. Practice with the following problems.

24*36 = Left 6, Hidden n 24, right 24. Add 6 + 2 = 8 and 4, add 2

to 4, attach the last 4.

89*47 = Left 32, Hidden n 92, right 63. 32-92-63. 32+9 =41+2, 412 +

6 is 418 attach 3.

56*47 = Left 20, Hidden n 59, right 42. Do it for yourself.

74*85 = Left 56, Hidden n 67, right ?

96*21 = Left 18, Hidden n ?, right ?

This is not a math trick, but a logical step in processing math.

Answers:

24*36 = 864

89*47 = 4183

56*47 = 2632

74*85 = 6290

96*21 = 2016

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