Calculating the Square


Today we are going to discuss a special and simple method to find the square of numbers, especially from 11 to 20. I have invented this technique, so I proudly call it the Danish Method. It is designed especially for students from Class 5 to 8.

When I talk about squares of numbers with students in these classes, I notice that many of them get confused about how to find the square of a number. Some students who have memorized squares respond quickly, but they often get confused when it comes to numbers between 11 and 20.

There are many tricks available on YouTube, but I find them either too complicated or time-consuming. That's why today, I will show you the simplest and easiest method to find the squares of numbers from 11 to 20 — the Danish Method.

1.     Definition and Explanation
A square of a number is the result of multiplying the number by itself.
In simple words: When we multiply a number by itself, the result is called its square.

For example, when we multiply 4 by 4, we get 16.
In words, we can say that the square of 4 is 16.

                                    4 × 4 = 16

                                     OR


                                      4² = 16

Similarly, the square of 11 is 121.
Or in equation form: 11 × 11 = 121 or 11² = 121

But in the Danish Method, we follow some simple rules. With regular practice, this method becomes very easy to use.

Rules:

1.First, take the number whose square you want to find (especially between 11 to 20).
Example: 11

2.Now, square the digit at the unit place (the last digit of the number).
In 11, the unit digit is 1, and 1² = 1

3. So, we get 1. (This is the first part of the answer.)

4.Now, add the unit digit (1) to the original number (11).
11 + 1 = 12

           5. By combining the result of Rule 3 and Rule 4, we get 121, which is the square of 11.

Therefore, the square of 11 is 121.

 

Steps to Find the Square of 12 (Danish Method)

Step 1: Write the number whose square you want to find
We want to find the square of 12.

Step 2: Take the square of the unit digit

The unit digit of 12 is 2.
2 × 2 = 4

Step 3: Write this square
✅ So, we get 4.

Step 4: Add the unit digit to the original

Original number = 12
Unit digit = 2
12 + 2 = 14

Step 5: Write this result
✅ So, we get 14

By combining the results of Step 4 and Step 5, we get the answer 144. So, the square of 12 is 144.

✏️ Steps to Find the Square of 14 Using the Danish Method

👉 Step 1: Write the number whose square you want to find
We want to find the square of 14.

👉 Step 2: Take the square of the unit digit
Unit digit of 14 is 4
4 × 4 = 16

👉 Step 3: Write the unit digit and carry the tens digit
From 16, write down 6 and carry 1

👉 Step 4: Add the unit digit to the original number
14 + 4 = 18

👉 Step 5: Add the carry to the result

18 + 1 = 19

By combining the results of Step 3 and Step 5, we get the final answer: 196.
✅ So, the square of 14 is 196.
Similarly, we can find the squares of numbers from 11 to 20 using the Danish Method.

By : Danish

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So, students, if you like my math trick, please follow and share it.
I will continue posting more math tricks and content related to the field of education.
Also, don’t forget to leave a comment!

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