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Showing posts with the label yavadunam sutra in squaring and cubing

cube-tricks,13thlesson-mathematics-tricks-and-fun

 Cube-Tricks,13thLesson-MathematicsTricks-and-Fun   Today we are going to study the methods to find cube of numbers.I am Dr Prema B Sejekan. We shall study methods using yavadunam sutra to find the cube of numbers. We should learn and keep ourselves ready with the square and cube of unit digits for a quick solving of the cubes of numbers..Here I have noted down the squares and cubes of commonly used digits.   In finding cube of a number,first   find the number of digits in the question and3/(3-1) times that will be the number of digits in the answer and   when first digit is 1,2,3 it will be    3-1,3-2 times digits , in the answer.  Mark the expected digits in the answer as dots.    This is Cubing by yavadunam tavadunokritya varge cha yojayet . Here cube of 103 is t he question.Here the base is 100.  3 is the excess and the main working digit is 3 here we multiply 3 with 3 which stands for the cube so 3 X ...

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. ...