Three Digit Number More Than The Base


Square With Yavadunam Method-II - Concepts
Class - 9th Foundation NTSE Subjects
 
 
Concept Explanation
 

Square of Three Digit Number More Than The Base Using Yavadunam Method

Square Of Three Digit Number More Than The Base Using Yavadunam Method:  This method is used to find  square of a three 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 of 112.

Step 1 : Find the surplus in the number as compared to the base. For 112 the nearest base is 100 so the surplus will be 12

Add the surplus to the number

Result 1 = 112+ 12 = 124

Step 2: Now find the square of the surplus that is 12. Square of 12 is 144

Result 2 = 144

As the base has two zeros, we will take two digits at a time

Step 3: The rightmost two digits of the Result 2 are the rightmost two digits of the answer and the remaining are the carry.

Answer:  44

Carry is 1

Step 4: The Carry is added to Result 1.  The Resultant Number is Leftmost Block of the Answer

Resultant Number = 124 + 1= 125

Answer : 12544

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