This method of multiplication from Vedic Maths will make it very easy to multiply two numbers when sum of the last digits is 10 and previous parts are the same. For example multiplications like 23x27 : Sum of Unit digits i.e. 3+7 = 10; Remaining number i.e. 2 is same in both numbers 46x44: Sum of Unit digits i.e. 6+4 = 10; Remaining number i.e. 4 is same in both numbers 112x118: Sum of Unit digits i.e. 2+8 = 10; Remaining number i.e. 11 is same in both numbers 291x299: Sum of Unit digits i.e. 1+9 = 10; Remaining number i.e. 29 is same in both numbers 135x135: Sum of Unit digits i.e. 5+5 = 10; Remaining number i.e. 13 is same in both numbers Solving 46 x 44 You will get the answer in two parts. First part, to get left hand side of the answer: multiply the left most digit(s), i.e. 4 by its successor 5 Second part, to get right hand side of the answer: multiply the right most digits of both the numbers i.e. 4 and 6. Example First part: 4 x (4+1) Second part: (4 x 6) Combined effect: (4 x 5) | (4 x 6) = 2024 *| is just a separator. Left hand side denotes tens place, right hand side denotes units place More Examples 37 x 33 = (3 x (3+1)) | (7 x 3) = (3 x 4) | (7 x 3) = 1221 11 x 19 = (1 x (1+1)) | (1 x 9) = (1 x 2) | (1 x 9) = 209 As you can see this method is corollary of "Squaring number ending in 5" It can also be extended to three digit numbers like : E.g. 1: 292 x 208. Here 92 + 08 = 100, L.H.S portion is same i.e. 2 292 x 208 = (2 x 3) x 10 | 92 x 8 (Note: if 3 digit numbers are multiplied, L.H.S has to be multiplied by 10) 60 | 736 (for 100 raise the L.H.S. product by 0) = 60736. E.g. 2: 848 X 852 Here 48 + 52 = 100, L.H.S portion is 8 and its next number is 9. 848 x 852 = 8 x 9 x 10 | 48 x 52 (Note: For 48 x 52, use methods shown above) 720 | 2496 = 722496. [L.H.S product is to be multiplied by 10 and 2 to be carried over because the base is 100]. Eg. 3: 693 x 607 693 x 607 = 6 x 7 x 10 | 93 x 7 = 420 / 651 = 420651.
Posted on: Thu, 20 Jun 2013 03:14:28 +0000
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