Three Digit Number Far From The Base


 
 
Concept Explanation
 

Square Of a Three Digit Number Far From The Base Using Yavadunam Method

This method is used to find the square of a number which is very far from nearest base. To make the calculation easy we take a base nearer to the given number. 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 784

Step 1: Find the surplus or the deficit in the number as compared to the base. For 784 the nearest base is 800 which is eight times 100. So the deficit is 16 or the surplus is -16

Add the surplus to the number and multiply it with 8

Result 1 = 8 X (784 + (-16)) =8 X 768 = 6144

Step 2: Now find the square of the surplus that is -16. Square of -16 is 256

Result 2 = 256

As the base has two zeros so two digit will be prefixed in the answer

Step 3: As the Result 2 has three digits so two digit will be prefixed in the answer and the remaining will be carry.

Answer: 56

Carry is 2

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

Resultant Number = 6144 + 2 = 6146

Answer: 614656

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