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VEDIC MATHEMATICS NEWSLETTER ISSUE No. 22 Vedic Mathematics is becoming increasingly popular as more and more people
are introduced to the beautifully unified and easy Vedic methods. ***************************** This issues article is by Mrs Rajeshwari Sharma who has developed a neat way to multiply using the fingers. Her article contained diagrams of a pair of hands with one finger turned down. These figures are not shown here although they are referred to in the text. It should be easy to understand the method without the figures though, and they can be drawn out if you wish. Mrs Sharma is a mathematics graduate and teacher. If you like to contact her about this article her email address is: reachraji@rediffmail.com ***************************** MULTIPLICATION ON YOUR FINGER TIPS I am presently conducting Workshops in Vedic Mathematics for school children. The following article on "Multiplication on Finger Tips" will appear in my compilation on Vedic Mathematics, which I hope to publish soon. During my Lectures, I found many children and parents fascinated by the method of doing multiplication of 9, 19, 29, 39, etc. on hand. I believe it will likewise generate interest in others also. Multiplication Tables of 9, 19, 29, 39, etc. on hand. We have the answers at the tip of our fingers, literally. Isn't it wonderful. Even a child can give the answer for 6 x 79 within a few seconds by this method. We have 10 fingers in our hands. Keep the palms with fingers spread turned
towards your face. For example in 9x3; 9 is the multiplicand and 3 is the multiplier. (Eg.1) Consider the multiplication table for 9. 2.. Fold the index finger of the left hand (representing 2 in 9
x 2). Now we have the thumb to the left of folded finger and 8 units to the
right. The thumb represents 1 Ten. 3.. Fold the small finger of right hand (representing 6 in 9 x
6). Now we have five fingers to the left and 4 fingers to the right of folded
finger. The five fingers to the left represent 5 tens. Hence 50. The four fingers
to the right are 4 units. ****************** The folded finger represents 1. There is no tens to the left of the thumb of left hand therefore we get 1 in 10s place. Therefore 19 x 1 = 1/9 = 19. (See Fig. 5) TENS UNITS Consider 19 x 2. We fold the index finger of left hand representing the multiplier
2. There is 1 ten represented by the thumb to the left of the folded finger.
Hence, adding the 2 (multiplier) to 1, we get 3 in tens place. TENS UNITS 19 x 6: The folded finger is multiplier 6. This value 6 is added to the 5 tens to the left of folded finger to get 11 tens. The four fingers on the right are the four units. Fig. 7 TENS UNITS (Eg.3) Multiplication Table for 29: The method is exactly as explained above, only we add twice the digit represented by the folded finger, (i.e. the multiplier) to the number of fingers to its left. 29. TABLE 29 x 2: The multiplier 2 is doubled and added to the 1 ten represented by the
thumb. We thus get (4+1) tens. The 8 fingers on the right gives 8 units. (See
Fig. 9) 29 x 7: The multiplier 7 is doubled and added to the 6 tens represented by
the fingers to the left of folded finger. We thus have 20 tens. There are 3
units to the right. (See Fig.10) In the case of multiplication table for 39, we multiply the digit represented by folded finger (i.e. the multiplier) by 3 and add it to the tens represented by fingers to the left of folded fingers. 39 x 4 = (4 x 3) + 3/6 = 156 (There are 3 tens to the left of folded finger and 6 units to the right) Similarly 49 x 6 = (6 x 4) + 5/4 = 294 (There are 5 tens to the left of folded finger and 4 units to the right) 99 x 7 = (7 x 9) + 6/3 = 693 (There are 6 tens to the left of folded finger and 3 units to the right) 119 x 8 = (8 x 11) + 7/2 = 952 (There are 7 tens to the left of folded finger and 2 units to the right) We can extend the above logic for multiplication tables of 8, 18, 28, etc. also on hand. **************************** NEWS **************************** COSMIC CALCULATOR COURSE NOW AVAILABLE This course of three books, plus Teachers Guide and Answer Book (formerly entitled
The Cosmic Computer) is now printed and available. The publishers are Motilal
Banarsidass. The price is 795 rupees for the set. Books can also be purchased
separately. Here are the publishers details should you wish to contact them. NEW WEB SITE There is a new web site on Vedic Mathematics: http://www.geocities.com/vedicmathematics. This features the work of Dr S. K. Kapoor who believes that the logical problems that have beset modern mathematicians (like functions that are continuous everywhere but differentiable nowhere) are due to certain basic axioms used in modern mathematics. This problem is solved with Vedic Mathematics. Here is an extract from the web site: "Dr. Kapoor is attempting to reconstruct the discipline of geometry as a discipline based on Vedic concepts. He has designated this discipline as Vedic Geometry. His results have added a new dimension to the dialogue initiated with the interpretation of the Ganita Sutras and their potentialities brought to focus by Swami Bharti Krisna Tirthaji Maharaj." SIMPLE SUMS PROJECT Software is being developed to teach mathematics, incorporating Vedic mathematics,
modern computation and traditional Irish cultural knowledge. A demonstration
of this software should be available on the internet within eight weeks. If
anyone would like further information or could help to create a Simple Sums
web site they may contact Dr. Brian McEnery at seodateo@eircom.net. WORKSHOPS IN JANUARY Vedic mathematics continues to be of great interest in India. Workshops on 28th - 30th January given by Mrs Rajeshwari Sharma in Mumbai were a big success. She writes: "I explained the different methods of multiplications and squarings and cubings knowing well that they will be of great use to the children of 9th and 8th standard. I also showed them the verification by digital root method. That was very well appreciated by both the students and the teachers. I also showed them multiplication tables of 9,19,29,39 etc., on fingers and they were all very fascinated. Except the 9 times table (which is known to many) I had worked out the logic for the other tables myself. I also enjoyed giving the lecture since the children took so much interest and took active part in the same by coming to the board and working out the problems themselves. The principal came on the second day and congratulated me told me that the teachers and the children liked my approach to the subject." One of the young participants at this event wrote afterwards: "Your lecture on Vedic Maths was like an expensive medicine given to a wounded soldier on a battlefield fighting for his country. As we are fighting to score in maths for the board exam as one of the weakest subjects. It is surely a good and a magic like subject for a weak student. Thank you for the wonderful lecture." NEW COURSE PLANNED IN LONDON Following the successful course at Imperial College another one is planned for next term. We will keep you informed about the details. MULTIPLICATION SHORT CUT - correction This item from Newsletter 21 should read: **************************** WORKSHOPS IN INDIA If you want to know about Vedic Mathematics Workshops or research in India send an email to Mr R. P. Jain at mlbd@vsnl.com **************************** Your comments about this Newsletter are invited. Articles in previous issues of this Newsletter can be copied from the web site
- www.vedicmaths.org: To subscribe or unsubscribe to this Newsletter simply send an email to that
effect to news@vedicmaths.com Visit the Vedic Mathematics web site at Email news@vedicmaths.com 8th March 2002 |
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