Square Of Four Digit Number More Than The Base Using Yavadunam Method: This method is used to find square of a four digit number which is more than the base. This thechnique can be very helpful in saving the time in the various competitive exams where each second counts.
Find the square 1015.
Step 1 : Find the surplus in the number as compared to the base. For 1015 the nearest base is 1000 so the surplus will be 15 Add the surplus to the number Result 1 = 1015+ 15 = 1030 |
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Step 2: Now find the square of the surplus that is 15. Square of 15 is 225 Result 2 = 225 |
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As the base has three zeros, we will take three digits at a time Step 3: The rightmost three digits of the Result 2 are the rightmost three digits of the answer and the remaining are the carry. Answer: 225 Carry is 0 |
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Step 4: The Carry is added to Result 1. The Resultant Number is Leftmost Block of the Answer Resultant Number = 1030 + 0 = 1030 Answer : 1030225 |
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