How to Find Square of Any Number: Lesson One

Dear Readers,

Today, I am sharing the shortcut tricks by which you can make square of any number. It is nothing but playing with numbers. There are 10 unique numbers in number system, i.e. 0,1,2,3,4,5,6,7,8,9. You have to play with this number. There is no need to memorize the squares of 1 to 30 or 1 to 40 not even 1 to 50. Just follow the rules how number makes square. Try to universal rule.

How to Find Square of Any Number: Lesson One

Let, start with 1, square of 1 is 1*1=12=1; it is easy to say because we know from our childhood. But when you have asked for square of 48, then it will be quite hard to tell in a minute without memorize it.

There are so many rules to make square of a number. But today I am going to tell you the shortcut methods for your exams. Try to understand it if you feel any difficulties you may post a comment in comment box.

1. There are 10 numbers which are starting with 10 different numbers, like 1-10, 11-20, 21-30, 31-40, and 41-50 so on. Make them square first.

12 = 1

102=100

112=121


Rule: 112= 102+10+11=100+10+11=121

 Square
202=400

212= Try it. Just follow the rule of 112. Yes! You get it. It is 202+20+21=441.

302=900

312=961 (You can easily say it now)

402=1600

412=1681

502=2500

2. Next, we make the square of the numbers which ends with 5. It is so easy. It is the centre of all squares.

52=25

152=225

252=625


Rule: First make square of 5 i.e. 25 which will be preceded by 2*3(the next number of 2) =6, it makes 625.
 Square
352= Try it. Just follow the rule of 252. Yes! You get it. 1225.

452=2025

552=3025

652=4225

Try it. In next lesson I will continue this topic with others numbers. 

Questions from Lesson One: How to Make Square of Any Number

Simplifications:

Q.1  112 + 212+ 312+ 412 = ?


Q.2  502-312+102= ?

Q. 3 152 + 252+ 352+ 452 = ?

Q. 4 1252 = ?

Q. 3 652 + 252- 152+ 452 = ?

Approximations:

You may use this lesson to solve approximations.

Thanks!!

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