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

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.

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!!

It you feel uncomfortable with these please comment in comment box.
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