Wednesday, June 16, 2010

Squaring two numbers ending with 5 (Suitable for only small numbers)

In this post i will tell u how to multiply two numbers ending with 5 like 25, 35, 45 and so on... Can u image how simple it is to square such numbers??? Well if you cant then stop because before you can imagine that you can find the result itself :-)... So let me explain you this simple method...

Consider finding the square of number 35. This number end with 5 rite?? Well then for the same reason we can say that its square ends with 25!!! How?? Consider the square of any number like 5, 15, 25 etc... the squares are 25, 225, 625 etc... So amazing to see that the squares end with 25. Isn't it??So here in our example of 35*35 also the result end with 25... Now we must find the remaining part of the result. For this consider the remaining digits except 5 in the number considered.. Here in number 35 the digits except 5 is "3". So the number next to digit 3 in number system in "4". Hence find the product of 3*4=12 which will be the remaining part of the result... So final result is "1225". Similarly you can apply this technique for even numbers like 105.

For 105, as explained the final result must end with 25. We have "10" as remaining digits if we exclude the digit 5 in 105. the number next to 10 is "11". So product 10*11==110. So final result is 11025... Hope this method will be very useful to you all... Thank you...

1 comment:

Reshmi said...

I never knew multiplication is so simple as this