Squaring Trick -: 5
The square of , one (1^2 = 1 ), 11^2 = 121
In this blog we will discuss about the trick used in squaring of 1 , 11,111,11111 etc.

Squares of various number are -:
1^2 = 1
11^2 = 121
111^2 = 12321
1111^2 = 1234321
11111^2 = 123454321
111111^2 = 12345654321
111111111^ 2 = 12345678987654321
Procedure -: To find the square of number like 11,111,11111 e.t.c we apply following step

Step(1). First of all saw how many times
One (1) repeat in the number like
(a). 11 -:  in 11 , one repeat two times
(b). 111111-: in 111111, one repeat 6 times.

Step(2).let 'N' times one repeat in the given number i.e. the the number whose square is to be find  , write down successors from one to  'N'. like
(a). 1111^2 ?
And -: N = 4
Then  successors= 1234

Step(3). Now write predecessors from
'(N - 1)' to one . Like
Since N = 4
N - 1 -: 4 - 1 = 3
Now predecessors  from 3 to 1 -: 321

Step(4). Now write down the number which comes in step 3rd after the number comes in step 2nd , this number is the square of the given number.like

1111^2 = 1234321 will be the answer.

Example (2). -: 1111111^2 ?
Answer-: step(1). As we saw the given number , one comes seven time.
Step(2). Now , N = 7 , then successors from 7 to 1
Then successors = 1234567

Step(3).( N - 1 )= 7 - 1 = 6 .
Predecessor's from 6 to 1 = 654321.

Step(4). 1111111^2 = 1234567654321 will be the answer.

Note -: Similarly we find the square of any number in some second.