Diagonal Method of Squaring

DIAGONAL METHOD OF SQUARING

This is also an old Indian Method of Multiplying Numbers. The diagonal Method can be applied to find the square of any number irrespective of the number of digits.
let us learn the Diagonal Method of Squaring numbers as given below :-

WORKING RULES  :-

Here we find out the square of - 93

Step 1 -   First , draw a square . Then , divide it into sub - squares . The number of sub - squares will be equal to the number of digits of the given number.

Step 2 - Draw the diagonals of each square and write the digits of the number to be squared from left to right and top to bottom.

Step 3 - Multiply each digit from left to right of the square by each digit one by one from top to bottom of the column.

Step 4 - Write the product in the corresponding sub -squares.

Step 5 - If the number so obtained is a one digit number, write it below the diagonal.If it is a two digit numbers , write the tens digit above the diagonal and the ones digit below the diagonal.

Step 6  - Fill each empty places with the number 0 .

Steps 7 - Starting from the lowest diagonal , add the digits along the diagonals so obtained , underline the ones digit of the sum and take tens digit as carry (if any) and add to the sun in the next above diagonal.

Step 8 - Ones digits so underlined together will be the required square of the given number.

One more example  - Square of 345

Square of 345 is - 119025

Success is no accident . Put your heart , mind and soul into even smallest acts..:)

Note - for any quaries and suggestion please post a comment.