Easy Way to Find Square of 2 Digit Number

Contents

• 1 How to find the square of a two digit number easily
  • 1.1 Square of a number from 31 to 80 :
  • 1.2 Square of a number from 81 to 99 :

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

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Source: https://www.allmathtricks.com/square-2digit-number/

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