Dear Ayesha & Everyone,
Here are two examples for squaring a 2 digits number:
Example 1: XY = 64
1) Y Square is 16, so the last digit is 6, and I carry 1.
2) 2 times Y is 8, The result times X, 8x6 = 48, The result 48 +1 (carried in step 1) = 49, so the 2nd digit is 9, and I carry 4.
3) X square is 36, the result 36 + 4 (carried in step 2) = 40, and these are the 1st digits.
Square(XY)=4096
Example 2: XY= 97
1) Y Square is 49, so the last digit is 9, and I carry 4.
2) 2 times Y is 14, The result last digit, 4, times X, 4x9 = 36, The result 36 +4 (carried in step 1) = 40, so the 2nd digit is 0, and I carry 4.
3) Y is greater than 5, so X times X+1, 9x10 = 90 , the result 90 + 4 (carried in step 2) = 94, and these are the 1st digits.
Square(97)=9409
Isn't it easy !!!!
Rima
Digg
