Square of 104 ( faster way.. )
Answer will have _ _ _ _ _ .That is
five digits.
- add the 4 to the entire number that is 104+4 = 108_ _. so we got first 3 digits. we are adding 4 as the distance of the number from base is 4.
- remaining two digits.(two more digits are there because base is 100, which contains two zeros).
- That is square of 4 ie 16 ( bcoz 104 is 4 number away from base ).
- So answer is 10816
Base means 100,1000,10000.. etc....
Basically what happened is, I have taken the base as 100. Now 104 is 4 more than the base. So immediately add that 4 to the entire number. That is 108 which is the first three digit of our answer. Now since base is 100 and it has two zeros. So now two more digits to go. So there comes square of 4 which is 16.
another example :
square of 112.
- 112 + 12 is 124.
- As base is 100 which contains two zeros we require two more digits.
- 12 square is 144 so answer is
- 1 2 4
- 1 4 4
- That is 12544.
Analyse the number 1 under 4. How and Why :) ?
Another example
square of 96
- 96 is 100 - 4 . here also base is 100 but our number is four less than the base.
- so we will subtract that 4 from our number 96 - 4 = 92
- now 2 more digits ( as base is 100 )
- now 4 square is 16 ( bcoz 96 is 4 number away from base )
- so answer is 9216
this is well explained in this video.