The Vedic Mathematics Sutras
This list of sutras is taken from the book Vedic Mathematics, which includes a full list of the sixteen Sutras in Sanskrit, but in some cases a translation of the Sanskrit is not given in the text and comes from elsewhere.
This formula 'On the Flag' is not in the list given in Vedic Mathematics, but is referred to in the text.
The Main SutrasBy one more than the one before. All from 9 and the last from 10. Vertically and Cross-wise Transpose and Apply If the Samuccaya is the Same it is Zero If One is in Ratio the Other is Zero By Addition and by Subtraction By the Completion or Non-Completion Differential Calculus By the Deficiency Specific and General The Remainders by the Last Digit The Ultimate and Twice the Penultimate By One Less than the One Before The Product of the Sum All the Multipliers
Thursday, July 1, 2010
Saturday, February 28, 2009
Tutorial-2
Tutorial 2
Using VERTICALLY AND CROSSWISE you do not need to the multiplication tables beyond 5 X 5.
Suppose you need 8 x 7
8 is 2 below 10 and 7 is 3 below 10.Think of it like this:The answer is 56.The diagram below shows how you get it.You subtract crosswise 8-3 or 7 - 2 to get 5,the first figure of the answer.And you multiply vertically: 2 x 3 to get 6,the last figure of the answer.
That's all you do:
See how far the numbers are below 10, subtract onenumber's deficiency from the other number, andmultiply the deficiencies together.
7 x 6 = 42Here there is a carry: the 1 in the 12 goes over to make 3 into 4.
Using VERTICALLY AND CROSSWISE you do not need to the multiplication tables beyond 5 X 5.
Suppose you need 8 x 7
8 is 2 below 10 and 7 is 3 below 10.Think of it like this:The answer is 56.The diagram below shows how you get it.You subtract crosswise 8-3 or 7 - 2 to get 5,the first figure of the answer.And you multiply vertically: 2 x 3 to get 6,the last figure of the answer.
That's all you do:
See how far the numbers are below 10, subtract onenumber's deficiency from the other number, andmultiply the deficiencies together.
7 x 6 = 42Here there is a carry: the 1 in the 12 goes over to make 3 into 4.
Vedic Maths Teaching
Tutorial 1
Use the formula ALL FROM 9 AND THE LAST FROM 10 to perform instant subtractions.
For example 1000 - 357 = 643
We simply take each figure in 357 from 9 and the last figure from 10.So the answer is 1000 - 357 = 643
And thats all there is to it!
This always works for subtractions from numbers consisting of a 1 followed by noughts: 100; 1000; 10,000 etc.
Similarly 10,000 - 1049 = 8951
For 1000 - 83, in which we have more zeros than figures in the numbers being subtracted, we simply suppose 83 is 083.
So 1000 - 83 becomes 1000 - 083 = 917
Use the formula ALL FROM 9 AND THE LAST FROM 10 to perform instant subtractions.
For example 1000 - 357 = 643
We simply take each figure in 357 from 9 and the last figure from 10.So the answer is 1000 - 357 = 643
And thats all there is to it!
This always works for subtractions from numbers consisting of a 1 followed by noughts: 100; 1000; 10,000 etc.
Similarly 10,000 - 1049 = 8951
For 1000 - 83, in which we have more zeros than figures in the numbers being subtracted, we simply suppose 83 is 083.
So 1000 - 83 becomes 1000 - 083 = 917
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