Academy of Vedic Mathematics

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Academy of Vedic Mathematics www.vedicmaths.org Vedic Mathematics founded by Sri Bharati Krsna Tirthaji (1884-1960) Shankaracharya of Govardhan Math, Puri Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org Squaring Numbers ending in 5 By One More Than the One Before 352 = 12 25 752 = 56 25 (4½)2 = 20 ¼ 6.52 = 42. 25 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org By One More Than the One Before 43 x 47 = 20 21 72 x 78 = 56 16 89 x 81 = 72 09 Academy of Vedic Mathematics www.vedicmaths.org

Multiplying numbers by 11 Academy of Vedic Mathematics www.vedicmaths.org

Multiplying numbers by 11 32 x 11 = 3 5 2 3 5 ? 2 Academy of Vedic Mathematics www.vedicmaths.org

Multiplying numbers by 11 75 x 11 = 8 2 5 7 12 ? 5 Academy of Vedic Mathematics www.vedicmaths.org

Multiplying numbers by 11 4 3 2 x 11 = 4 7 5 2 4 ? 7 ? 5 2 Academy of Vedic Mathematics www.vedicmaths.org

Multiplying numbers by 11 3 1 6 7 x 11 = 3 4 8 3 7 3 4 ? ? 7 13 ? 7 Academy of Vedic Mathematics www.vedicmaths.org

Instant Subtractions by All from 9 and Last from 10 Sanskrit Sutra: Nikhilam Navatashcaram Dasatah Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org All from 9 and Last from 10 Subtractions 1 0 0 0 – 2 8 3 Subtract from 9 Subtract from 9 Subtract from 10 = 7 1 7 So our answer is 1000 – 283 = 717 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org All from 9 and Last from 10 Subtractions All from 9 and last from 10 always works for subtractions from numbers consisting of powers of 10 like 100, 1000, 10,000 etc Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org All from 9 and Last from 10 Subtractions 1 0 , 0 0 0 – 4 1 5 6 Subtract from 9 Subtract from 9 Subtract from 9 Subtract from 10 = 5 8 4 4 So our answer is 10,000 – 4156 = 5844 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org All from 9 and Last from 10 Subtractions For 10,000 – 76 in which we have more zeros than figures in the number being subtracted, we simply assume that 76 is 0076 and then subtract. So 10,000 – 76 becomes 10,000 – 0076 = 9924 And 1000 – 38 becomes 1000 – 038 = 962 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org The Base Method Numbers below 10 8 7 – 2 6 – 4 – 3 – 4 5 / 6 2 / 6 = 3 / 6 1 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org The Base Method Numbers below 100 100 89 97 – 11 98 97 – 02 – 3 – 3 86 / 33 95 / 06 Vedic Challenge! 89 – 11 888 997 –112 – 11 – 3 / 21 1 78 = 79/21 885 336 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org The Base Method Mentally 94 x 98 = 9212 100 89 97 – 11 – 3 97 x 94 = 9118 86 / 33 88 x 97 = 8536 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org The Base Method Numbers above 10 13 18 + 3 12 13 + 2 + 8 + 3 21 / 4 2 = 234 15 / 6 Vedic Challenge! 103 104 + 03 + 4 107 / 12 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org The Base Method Numbers Above the Base 123 103 + 23 102 103 + 02 + 3 + 3 126 / 69 105 / 06 1012 1003 + 12 + 3 1015 /036 Academy of Vedic Mathematics www.vedicmaths.org

Academy of Vedic Mathematics www.vedicmaths.org The Base Method Squaring Near a Base 101 x 101 102 01 102 x 102 104 04 103 x 103 106 09 Academy of Vedic Mathematics www.vedicmaths.org