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11th Lesson -Nikhilam sutra-corollaries

       11th Lesson of  mathematics tricks and fun       Hello friends ,today we are going to stud y Nikhilam Sutra in multiplication. I am Dr Prema b sejekan.  Nikhilam Sutra says Nikhilam Navatascharamam Dasatah.Means All from Nine and Last from Ten . Nikhilam sutra has upasutras corollaries and sub-corollaries.All of them and their application  in multiplication will be discussed here.  Here  applications of Nikhilam Sutra in general is shown.Let us take the first among the 7 examples. In this, the first question is  9 times 9.working base is 10 . So complement of 9 from 10 is 1.   1×1 is 1 and  9-1 is 8. The answer is 81.2nd example is 7× 6 , so complement of  7 from 10 is 3. Complement of 6 is 4 so we will write 7-3× by 6-4 so ,3×4 is 12 and 7-4,is 3 .Adding the carry overs answer is 42.  Rest all examples are with different bases ie  100,1000 base  done in the similar way. ...