Vedic maths

VEDIC MATHS BY SHIVA KRISHNA.R VISHAL.H MD.FAISALM.SANTHOSH REDDY

WHAT IS VEDIC MATHS ? It is an ancient technique ,which simplifies the following:1. Multiplication2. Divisibility3. Complex numbers4. Squaring5. Cubing6. Square and cube roots7. Recurring decimals8. Auxiliary fractions

 "Whatever the extent of its deficiency, lessen it still further to that very extent; and also set up the square (of that deficiency)"[40] For instance, in computing the square of 9 we go through the following steps: The nearest power of 10 to 9 is 10. Therefore, let us take 10 as our base. Since 9 is 1 less than 10, decrease it by the deficiency (9 - 1 = 8). This is the leftmost digit of our answer. On the right hand side put the square of the deficiency, which is 1². Hence, the square of nine is 81. Similarly, 8² = 64, 7² = 49, 6²=36. For numbers above 10, instead of looking at the deficit we look at the surplus. For example: (11)2=(11+1)*(10+12)=121 (35)2=[(25+5)*2]*10+52=1225 This method is based on the formula:a2=(a+b)*(a- b)+b2.a=number whose square is to be found and b=deficit.

FOUNDER OF VEDIC MATHS Vedic Mathematics was discovered by H.H. Jagadguru Swami Bharathi krishna Tirthaji of Govardhan Peeth, Puri, between the period 1911 to 1918 at Shrungeri. He was awarded the title of „Saraswati‟ by the Madras Sanskrit Association. According to Swamiji, the sutras (16 Main sutras & 13 Sub-sutras) cover every branch of mathematics, from arithmetic to spherical conics, and that “there is no mathematics beyond their jurisdiction”.

VEDIC MATHS MAIN SUTRASMAIN SUTRAS:By one more than the one before.All from 9 and the last from 10.Vertically and Cross-wiseTranspose and ApplyIf the Samuccaya is the Same it is ZeroIf One is in Ratio the Other is ZeroBy Addition and by SubtractionBy the Completion or Non-CompletionDifferential CalculusBy the DeficiencySpecific and GeneralThe Remainders by the Last DigitThe Ultimate and Twice the PenultimateBy One Less than the One BeforeThe Product of the SumAll the Multipliers

Sub sutras "Proportionately"[28] The remainder remains constant "The first by the first and the last by the last" [29] For 7 the multiplicand is 143 By osculation Lessen by the deficiency "Whatever the extent of its deficiency, lessen it still further to that very extent; and also set up the square (of the deficiency)".[30] "By one more than the previous one"[31] "Last totaling ten"[32][33] The sum of the products "By (alternative) elimination and retention (of the highest and lowest powers)"[34] By mere observation,[35][36] The product of the sum is the sum of the products On the flag.

First theorem "Whatever the extent of its deficiency, lessen it still further to that very extent; and also set up the square (of that deficiency)" For instance, in computing the square of 9 we go through the following steps: The nearest power of 10 to 9 is 10. Therefore, let us take 10 as our base. Since 9 is 1 less than 10, decrease it by the deficiency (9 - 1 = 8). This is the leftmost digit of our answer. On the right hand side put the square of the deficiency, which is 1². Hence, the square of nine is 81. Similarly, 8² = 64, 7² = 49, 6²=36. .

Vedic maths

Vedic maths

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