How to find the square of a two digit number easily
Square Means : When any number is multiplied by itself , it is called as the square of a number
a) Square plays very important role in mathematics.
b) For doing the square of any two digit number having number of shortcuts are there out of that I suggested you one of the best and easy trick for square
c) First of all I suggest you must remember squares of first 30 numbers. Upto 20 numbers most of the students already know so remaining number means upto 30, it is very easy to remember. It will also very much helpful to do square of 3 digit numbers.
d) After 30 you do not need to worry about that. You just following the process than you will able to do square of reaming 2 digit numbers.
Number | Square | Number | Square | Number | Square |
1 | 1 | 11 | 121 | 21 | 441 |
2 | 4 | 12 | 144 | 22 | 484 |
3 | 9 | 13 | 169 | 23 | 529 |
4 | 16 | 14 | 196 | 24 | 576 |
5 | 25 | 15 | 225 | 25 | 625 |
6 | 36 | 16 | 256 | 26 | 676 |
7 | 49 | 17 | 289 | 27 | 729 |
8 | 64 | 18 | 324 | 28 | 784 |
9 | 81 | 19 | 361 | 29 | 841 |
10 | 100 | 20 | 400 | 30 | 900 |
Square of a number from 31 to 80 :
Here you must remember the following the steps ( Note : Friends do not afraid for following steps it is very easy for better understanding purpose I mentioned here )
a) The answer having two parts and each part required for 2digits only. (except only for 31, here came one digit for 2nd part) .
b) Take number a “X” than 50 subtract from that number i.e X -50
c) For 1st part you square of that value i.e (X-50)2
d) In first part required 2 digits so if it came less than two digits than add “0” for second place otherwise if it came more than 2 digits than 3rd digit should be carryover the next part i.e 2nd part.
e) For Second part purpose our base number is 25. i.e the value X-50 is to be add to 25 and also to be add for this if any carry over number from 1st part.
Let us go through the examples.
Example No. 1 : 432
Step 1 : 43-50 = -7
Step 2 : (-7)2 = 49. Our 1st part 49.
Step 3 : 25+ (-7) + 0(No carry over from 1st part) = 18. Our 2nd part is 18.
So our final answer is 1849
Example No. 2 : 482
Step 1 : 48-50 = -2
Step 2 : (-2)2 = 4 Our 1st part 04 (Require 2digits in 1st part).
Step 3 : 25+ (-2) + 0(No carry over from 1st part) = 23. Our 2nd part is 23.
So our final answer is 2304
Example No.3 : 672
Step 1 : 67-50 = +17
Step 2 : (17)2 = 289 Our 1st part 89 (Require 2digits in 1st part and “2” carryover to 2nd part.).
Step 3 : 25+ (+17) + 2(it is carry over from 1st part) = 44. Our 2nd part is 44.
So our final answer is 4489
Square of a number from 81 to 99 :
Here you must remember the following the steps
a) The answer having two parts and each part required for 2digits only.
b) Take number a “X” than 100 subtract from that number i.e X -100
c) For 1st part you square of that value i.e (X-100)2
d) In first part required 2 digits so if it came less than two digits than add “0” for second place otherwise if it came more than 2 digits than 3rd digit should be carryover the next part i.e 2nd part.
e) For Second part purpose our base number is X . i.e the value X-100 is to be add to X and also to be add for this if any carry over number from 1st part.
Example No.4 : 862
Step 1 : 86-100 = -14
Step 2 : (-14)2 = 196 Our 1st part is 96 (Require 2digits in 1st part so remaining value “1” is carryover to 2nd part.).
Step 3 : 86 + (-14) + 1(it is carry over from 1st part) = 73. Our 2nd part is 73.
So our final answer is 7396.
Example No.5 : 97 2
Step 1 : 97-100 = -3
Step 2 : (-3)2 = 9 Our 1st part is 09 (Require 2digits in 1st part).
Step 3 : 97 + (-3) + 0(it is carry over from 1st part) = 94. Our 2nd part is 94.
So our final answer is 9409.
Friends definitely I can tell while you are doing the practice the above shortcut way than you can definitely do square of two digit number in fraction of section.
Friends in this blog explained about easy methods for all types of mathematics sums
Hi friends Thanks for reading. I Hope you liked it. Give feed back, comments and please don’t forget to share it.