Four Digit Number Less Than The Base


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

Square of Four Digit Number Less Than The Base Using Yavadunam Method

Square Of A Four Digit Number Less Than The Base Using Yavadunam Method: This method is used to find the square of a number less than the base. As we know that in various competitive exam calculations take a lot of time. To avoid this we can use various Vedic Maths Techniques can be used.

Find Square of 9988:

Step 1 :Find the surplus in the number as compared to the base. For 9988 the nearest base is 10000 so the deficit is 12 or the surplus is -12

Add the surplus to the number

Result 1 = 9988+ (-12) = 9976

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

Result 2 = 144

As the base has four zeros so four digits will be prefixed in the answer

Step 3: As the Result 2 has three digits so a zero will be prefixed to make it a four-digit number and they will be four digits of the answer and the carry will be zero.

Answer: 0144

Carry is 0

Step 4: TheCarry is added toResult 1.  The Resultant Number is Leftmost Block of the Answer

Resultant Number = 9976 + 0 = 9976

Answer: 99760144
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