Question

Find the square of 276 and 349 by diagonal method

Answer 1

276=(270+6)
276²=(270+6)²
(270+6)²=7290+2240+36
= 9566
349=(350-1)
(350-1)²= 2800-700+1
=2101

Answer 2

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.