Short cut method for Squaring Numbers between 40 and 60

Squaring Numbers between 40 and 60

Here's a quick way to square numbers between 40 and 60. You know the squares of 40, 50, and 60, right? So let's show what to do for N=51 through 59. N= ( 50+R) , where  R is between 1 and 9. To get  N2 = We can have first two digits (25+R) and last two digits R2. Thus: 522= first two digits are (25+2) and last two digits 2x2=04, 522= 2704 582= first two digits are (25+8) and last two digits 8x8=64, 582= 3364, For N=41 through 49. The rule for N=41 through 49 is similar. Write N as (40+R) for R between 1 and 9. Then N2 will have first two digits (15+R) and last two digits (10-R)2. So: 422= First two digits are (15+2) and last two digits (10-2)2  =64, 422=1764. 482= First two digits are (15+8) and last two digits (10-8)2  =04, 482= 2304.           Compiled By : SANJEEV  KUMAR TANEJA