Saturday, April 6, 2013

Square of a number

Square of a number 
Square of a number can find in so many ways. But the important one is base method as it is multiplication with same number.

I will discuss here two methods i.e. 
1. Special case method
2. Base method

1. Special case method : 
    Rule : This method is applicable only when one's place digit is 5.
 
    As you know 52 = 25
    152 = 1x2 / 25 = 225

So steps are as follows.

Step 1 :  First two digits from right to left is 25
Step 2 :  Ten's digit x (Ten's digt + 1)

15 x 15 =  1x2 / 25 = 225
25 x 25 =  2x3 / 25 = 625
35 x 35 =  3x4 / 25 = 1225
45 x 45 =  4x5 / 25 = 2025
55 x 55 =  5x6 / 25 = 3025
65 x 65 =  6x7 / 25 = 4225
75 x 75 =  7x8 / 25 = 5625
85 x 85 =  8x9 / 25 = 7225
95 x 95 = ?

Very easy. Isn't it?
Next We will look into base method

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