Dwandwa Yoga - Three Digit Number


Square With Dwandwa Yoga - Concepts
Class - 8th Foundation NTSE Subjects
 
 
Concept Explanation
 

Dwandwa Yoga - Three Digit Number

Square Of Three Digit Number Using Dwandwa Yoga Method

This method is used to find the square of a 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

Find Square of 213

Step 1: Multiply the digits at the unit place of the number. This is known as Straight Multiplication

Result 1 = 3 X 3 = 9

The digit at the unit place of the Result 1 is the digit at the unit place in the Answer and the remaining goes to the carry

Answer 9

Carry is 0

Step 2:  Multiply the digit at the unit place with the digit at the tens place This is known as Cross Multiplication. Then add the carry (If Any)

Result 2 = 1 X  3 + 3 X 1 + 0 = 3 + 3 + 0 = 6

The digit at the unit place of the Result 2 is prefixed in the Answer and the remaining goes to the Carry

Answer: 69

Carry:  0

Step 3:  Multiply the digit at the unit place with the digit at the hundreds place. Then multiply the digits at tens place This is known as Double Cross Multiplication. Then add the carry (If Any)

Result 3 = 2 X 3 + 3 X 2 + 1 X 1 + 0 = 6 + 6 + 1 + 0 = 13

The digit at the unit place of the Result 3 is prefixed in the Answer and the remaining goes to the Carry

Answer: 369

Carry:  1

Step 4:  Multiply the digit at the hundreds place with the digit at the tens place This is known as Cross Multiplication. Then add the carry (If Any)

Result 4 = 2 X 1 + 1 X 2 + 1 = 2 + 2 + 1 = 5

The digit at the unit place of the Result 4 is prefixed in the Answer and the remaining goes to the Carry

Answer: 5369

Carry:  0

Step 5: Multiply the digits at the hundreds place of the number. This is known as Straight Multiplication

Result 5 = 2 X 2 + 0 = 4 + 0= 4

The Result 5 is prefixed in the answer.

Answer: 45369

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