# Vedic_Maths - Tutorial 1 Use the formula ALL FROM 9 AND THE...

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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. 1000 - 3 5 7 From 9 From 9 From 10 = 6 4 3 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 10,000 - 1 0 4 9 From 9 From 9 From 9 From 10 = 8 9 5 1 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 Exercise 1 Tutorial 1 Try some yourself: 1) 1000 - 777 2) 1000 - 283 3) 1000 - 505 4) 10,000 - 2345 5) 10000 - 9876 6) 10,000 - 1101 7) 100 - 57 8) 1000 - 57 9) 10,000 - 321 10) 10,000 - 38

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Tutorial 2 Using VERTICALLY AND CROSSWISE you do not need to know 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: 8 2 7 3 _______ 5 6 Answer The answer is 56. The diagram below shows how you get it. 8 2 x 1 7 3 _______ 5 6 Answer 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 one number's deficiency from the other number, and multiply the deficiencies together. 7 x 6 = 42 7 3 x 1 6 4 _______ 3 1 2 = 42
Here there is a carry: the 1 in the 12 goes over to make 3 into 4. Exercise 1 Tutorial 2 Multiply these 1) 8 2) 9 3) 8 4) 7 5) 9 6) 6 x 8 7 9 7 9 6 __ __ __ __ __ __ __ __ __ __ __ __ Here's how to use VERTICALLY AND CROSSWISE or multiplying numbers close to 100. Suppose you want to multiply 88 by 98 . Not easy, you might think. But with VERTICALLY AND CROSSWISE you can give the answer immediately, using the same method as on the page. Both 88 and 98 are close to 100. 88 is 12 below 100 and 98 is 2 below 100. You can imagine the sum set out like this: 88 - 12 x 1 98 - 2 _____ 86 - 24 As before the 86 comes from subtracting crosswise: 88 - 2 = 86 (or 98 - 12 = 86: you can subtract either way, you will always get the same answer).

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