Find the square of 276 and 349 by diagonal method
Answers
Steps of finding out square by diagonal method.
1) Form a square and divide it into sub-squares based on the number of digits, row and column wise. Then draw the diagonals of the smaller squares.
2) Multiply each digit on the left of the square with each digit on the top of the column one by one.
3) If the product has a single digit number, write it below the diagonal. If it has two digit number, write the tens digit in upper part of the diagonal and units digit in the lower part of the diagonal.
4) Add all the digits diagonally starting from the lowest diagonal.
5) Underline all the units' digits and carry over the other digit to the next and add the carry to the next number.
6) After completing this write down all the underlined digits. This number will be the square of the given number.
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Step-by-step explanation:
Steps to find out a square of a number by diagonal method as follows:-
Step 1: Obtain the number and count the number of digits in it. Let there be 'n' digits in the number to be squared.
Step 2: Draw square and divide it into n² sub-squares of the same size by drawing (n-1) horizontal and (n-1) vertical lines.
Step 3: Draw the diagonals of each sub-square.
Step 4: Write the digits of the number to be squared along left vertical side and top horizontal side of the squares.
Step 5: Multiply each digit on the left of the square with each digit on top of the column one-by-one. Write the units digits of the product below the diagonal and tens digit above the diagonal of the corresponding sub-square.
Step 6: Starting below the lowest diagonal sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal above.
Step 7: Obtain the required square by writing the digits from the left most side..
