Hey friends,
Today I will show you a quick and easy method to find out the square of a number between 1 to 100.
firstly you need to remember squares from 1 to 10 which is very easy.
Squares from 1 to 10 are:
12 =1
22=4
32 = 9
42 =16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
Now consider any number, say 18
182
The answer is divided into 3 parts: first term, middle term, last term
now, the first term of the answer will be the square of the first digit ::: 12 = 1----> first term,
the last term will be the square of the last digit ::: 82 = 64 so the last term is 4-->last term.
the middle term will be the obtained by multiplying product of first and last digit of number with 2, so here::(1*8)2=(8*2)=16---->middle term
= (first term)2 | (first term) x (second term)x 2 | (last term)2
Thus Final Answer is 324
so the trick is very simple
1. write first and the last digit of the answer which is first and last digit of the square of the first term and second term respectively.
2. now multiply the two digits whose square is to be taken out and multiply it with 2 we get middle term.
3 If at any place there are more than one digit than from right carry is forwarded to the left digit and are added to get a single digit.
Thus we get the final answer.
This rules apply to all digits and is a very easy method.
To find out the square of 67
672=?
so __ __ __ answer
= 6 2*6*7 7
= 36 2*(6*7) 49
= 3 6 84 4 9
= 3 6 8 4 4 9
= 3 6 8 4 4 9
+ +
= 3 1 4 8 9
+
= 4 4 8 9
= 4489
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so __ __ __ answer
= 6 2*6*7 7
= 36 2*(6*7) 49
= 3 6 84 4 9
= 3 6 8 4 4 9
= 3 6 8 4 4 9
+ +
= 3 1 4 8 9
+
= 4 4 8 9
= 4489
Final Ans Is 4489
similarly for any other number square can be found out.
Do Like, comment and share my post if you like it.
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