Square Using Diagonal Method
Square Using Diagonal Method
This method is applicable to find the square of any number irrespective of the number of digits in the number.We follow the following steps to find the square of a number by this method.
Step I: Obtain the number and count the number of digits in it.Let there be n digits in the number to be squared.
Step II: Draw square and divide it into sub-squares of the same size by drawing (n - 1) horizontal and (n - 1) vertical lines.
Step III : Draw the diagonals of each sub - square .As an illustration,let the number to be squared be 479.
Step IV: Write the digits of number to be squared along left vertical side and top horizontal side of the squares as shown below
Step V: Multiply each digit on the left of square with each digit on top of the column one - by - one.Write the unit digit of the product below the diagonal and tens digit above the diagonal of the corresponding sub - square as shown below.
Step VI: Starting below the lowest diagonal sum the digits along the diagonals so obtained.Write the unit digits of the sum and take carry ,the tens digit(if any)to the diagonal above as shown below
Step VII: Obtain the required square by writing the digits from the left - most side.
Find the ten's digit in the second diagonal from the top while calculating the square of 67. | |||
| Right Option : C | |||
| View Explanation | |||
The number obtained after adding the numbers in the lowest fourth diagonal while finding the square of 367 is ___________________ .
| |||
| Right Option : B | |||
| View Explanation | |||
The number obtained after adding all the numbers in the top diagonal with carry while finding the square of 89 is ______________________ | |||
| Right Option : D | |||
| View Explanation | |||
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