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1、Vedic Maths Tutorial Vedic Maths is based on sixteen sutras or principles. These principles are general in nature and can be applied in many ways. In practice many applications of the sutras may be learned and combined to solve actual problems. These tutorials will give examples of simple applicatio
2、ns of the sutras, to give a feel for how the Vedic Maths system works. These tutorials do not attempt to teach the systematic use of the sutras. For more advanced applications and a more complete coverage of the basic uses of the sutras, we recommend you study one of the texts available. N.B. The fo
3、llowing tutorials are based on examples and exercises given in the book Fun with figures by Kenneth Williams, which is a fun introduction some of the applications of the sutras for children. If you are having problems using the tutorials then you could always read the instructions. Tutorial 1 Tutori
4、al 2 Tutorial 3 Tutorial 4 Tutorial 5 Tutorial 6 Tutorial 7 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 t
5、here 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
6、- 083 = 917 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 = Total Correct = Reset TestReturn to Index Tutorial 2 Using VERTICALLY AND CROSSWISE you do not need
7、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
8、get 6, the last figure of the answer. Thats all you do: See how far the numbers are below 10, subtract one numbers deficiency from the other number, and multiply the deficiencies together. 7 x 6 = 42 Here there is a carry: the 1 in the 12 goes over to make 3 into 4. Multply These: 1) 8 8 x 2) 9 7 x
9、3) 8 9 x 4) 7 7 x 5) 9 9 x 6) 6 6 x Total Correct = Reset TestHeres how to use VERTICALLY AND CROSSWISE for 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
10、as above. 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: 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). And the 24 in the answer
11、 is just 12 x 2: you multiply vertically. So 88 x 98 = 8624 This is so easy it is just mental arithmetic. Try some: 1) 87 98 x 2) 88 97 x 3) 77 98 x 4) 93 96 x 5) 94 92 x 6) 64 99 7) 98 97 x Total Correct = Reset TestMultiplying numbers just over 100. 103 x 104 = 10712 The answer is in two parts: 10
12、7 and 12, 107 is just 103 + 4 (or 104 + 3), and 12 is just 3 x 4. Similarly 107 x 106 = 11342 107 + 6 = 113 and 7 x 6 = 42 Again, just for mental arithmetic Try a few: 1) 102 x 107 = 1) 106 x 103 = 1) 104 x 104 = 4) 109 x 108 = 5) 101 x123 = 6) 103 x102 = Total Correct = Reset TestReturn to Index Tu
13、torial 3 The easy way to add and subtract fractions. Use VERTICALLY AND CROSSWISE to write the answer straight down! Multiply crosswise and add to get the top of the answer: 2 x 5 = 10 and 1 x 3 = 3. Then 10 + 3 = 13. The bottom of the fraction is just 3 x 5 = 15. You multiply the bottom number toge
14、ther. So: Subtracting is just as easy: multiply crosswise as before, but the subtract: Try a few: Total Correct = Reset TestReturn to Index Tutorial 4 A quick way to square numbers that end in 5 using the formula BY ONE MORE THAN THE ONE BEFORE. 752 = 5625 752 means 75 x 75. The answer is in two par
15、ts: 56 and 25. The last part is always 25. The first part is the first number, 7, multiplied by the number “one more“, which is 8: so 7 x 8 = 56 Similarly 852 = 7225 because 8 x 9 = 72. Try these: 1) 452 = 2) 652 = 3) 952 = 4) 352 = 5) 152 = Total Correct = Reset TestMethod for multiplying numbers w
16、here the first figures are the same and the last figures add up to 10. 32 x 38 = 1216 Both numbers here start with 3 and the last figures (2 and 8) add up to 10. So we just multiply 3 by 4 (the next number up) to get 12 for the first part of the answer. And we multiply the last figures: 2 x 8 = 16 to get the last part of the answer. Diagrammatically: And 81 x 89 = 7209 We put
