how should we do this using vedic mathematics : 98*97  

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Steps} \mathrm{to} \mathrm{find} \mathrm{the} \mathrm{product} \mathrm{of} 98 \mathrm{and} 97 \mathrm{using} \mathrm{Vedic} \mathrm{Maths}: \\ \mathbf{Step}\mathbf{1}: \mathrm{Note} \mathrm{that} \mathrm{here} \mathrm{base} \mathrm{is} \mathrm{hundred}, \mathrm{Put} \mathrm{the} \mathrm{two} \mathrm{numbers} 98 \mathrm{and} 97 \\ \mathrm{above} \mathrm{and} \mathrm{below} \mathrm{on} \mathrm{the} \mathrm{left} \mathrm{hand} \mathrm{side}. \\ \mathbf{Step}\mathbf{2}: \mathrm{For} \mathrm{the} \mathrm{right} \mathrm{hand} \mathrm{side}, \mathrm{find} \mathrm{out} \mathrm{Deviation} \mathrm{of} \mathrm{both} \mathrm{numbers} \mathrm{from} 100. \\ \mathrm{That} \mathrm{is} \\ 98-100=-02 \mathrm{and} 97-100=-03 \\ \mathrm{Note} \mathrm{that} \mathrm{the} \mathrm{product} \mathrm{of} \mathrm{numbers} \mathrm{contains} 4 \mathrm{digits}. \\ \mathbf{Step}\mathbf{3}: \mathrm{To} \mathrm{find} \mathrm{the} \mathrm{two} \mathrm{digits} \mathrm{at} \mathrm{the} \mathrm{right} \mathrm{most} \mathrm{side}, \mathrm{muttiply} \mathrm{the} \mathrm{above} \mathrm{deviations} \\ 02 \mathrm{and} 03 \mathrm{to} \mathrm{get} 06. \mathrm{So} \mathrm{the} \mathrm{product} \mathrm{is} \mathrm{of} \mathrm{the} \mathrm{form}. \\ \mathrm{\_\_\_} \mathrm{\_\_\_\_} 06 \\ \mathbf{Step}\mathbf{4}: \mathrm{The} \mathrm{two} \mathrm{digits} \mathrm{at} \mathrm{the} \mathrm{leftmost} \mathrm{side} \mathrm{can} \mathrm{be} \mathrm{obtained} \mathrm{by} \mathrm{either} \mathrm{of} \mathrm{the} \mathrm{subtraction}. \\ 98-03=95 \mathrm{or} 97-02=95 \\ 98 -02 \\ \underline{ 97 -03} \\ \mathrm{Left} \overline{)95 } 06 \mathrm{Right} \\ \mathrm{side} \mathrm{side} \\ \mathrm{Thus} \mathrm{the} \mathrm{required} \mathrm{product} \mathrm{is} \mathbf{9506} \end{gathered}$$

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