How to find Square any two digit numbers

Square of 2 digit numbers can be found by various methods depending on the number.

In the following chapters we will learn methods specific for certain numbers which will give results still faster.

Example -1:  (34)2

Step-1: Square the units digit.

Now in our example the units digit is 4

So squaring 4 gives us 16

Step-2: 2 × tens digit X units digit

In (34)2 tens digit is 3

units digit is 4

So we have 2 X3 X4 =24

Step-3: Square the tens digit, here tens digit is 3. Squaring 3 gives us 9

Now, results obtained in above steps are

Answer obtained in 1st and 2nd step should consist only of a single digit, so carry over as shown below

ANSWAR = 1156

Example – 2:  (87)2

Step-1: Square the units digit.

Now in 87 units digit is 7

So squaring 7 we get 49

Step-2: 2x tens digit x units digit

In 87 tens digit is 8

units digit is 7

So we have 2 x 8 x 7=112

Step-3: Square the tens digit.

Tens digit in 8 7 is 8. Squaring 8 we get 64

EXAMPLE – 2:  (87)²

ANSWAR = 7569

EXAMPLE – 3 :  (48)²

ANSWAR = 2304

EXAMPLE – 4 : (92)²

ANSWAR = 8464

To find the of any two-digit number, you can follow these steps:

1. Let’s take the two-digit number as “AB,” where A represents the tens digit and B represents the units digit.
2. the tens digit (A) and multiply it by 100. This will give you the first two digits of the square. Example: If the tens digit is 4, then (4 * 4) * 100 = 1600.
3.  the units digit (B) and multiply it by 10. This will give you the last two digits of the square. Example: If the units digit is 5, then (5 * 5) * 10 = 250.
4. Multiply the tens digit (A) by the units digit (B), and multiply the result by 2. This will give you the middle two digits of the square. Example: If A = 4 and B = 5, then (4 * 5) * 2 = 40.
5. Add up the results from steps 2, 3, and 4 to get the final . Example: 1600 + 250 + 40 = 1890.

So, the  of the two-digit number 45 is 2025.

Using these steps, you can find the  of any two-digit number.

To find the  of any two-digit number, you can follow these steps:

1. Take the two-digit number and split it into its tens digit (A) and units digit (B).
2.  the tens digit (A) and multiply it by 100 to get the first two digits of the square.
3. Square the units digit (B) and multiply it by 10 to get the last two digits of the square.
4. Multiply the tens digit (A) by the units digit (B) and multiply the result by 2 to get the middle two digits of the square.
5. Add up the results from steps 2, 3, and 4 to get the final .

By following these steps, you can easily find the  of any two-digit number.

Finding the square of a two-digit number involves a simple process that can be accomplished by following a few steps. Let’s explore the method in detail.

To begin, consider the two-digit number as “AB,” where A represents the tens digit and B represents the units digit. The goal is to compute the  of this number.

Firstly,  the tens digit (A) and multiply it by 100. This step yields the first two digits of the . By squaring A, you obtain A^2. Multiplying A^2 by 100 places it in the hundreds position, resulting in the first two digits of the square.

Next, the units digit (B) and multiply it by 10. This will provide the last two digits of the square. Squaring B gives B^2. Multiplying B^2 by 10 situates it in the units position, representing the last two digits of the square.

Then, multiply the tens digit (A) by the units digit (B), and multiply the result by 2. This calculation contributes to the middle two digits of the . By multiplying A and B and then multiplying the result by 2, you obtain 2AB.

Finally, add up the results from the previous steps to obtain the final . Add the first two digits (A^2 * 100), the middle two digits (2AB), and the last two digits (B^2 * 10) together. The sum of these components will yield the  of the two-digit number.

By following these steps, you can easily find the  of any two-digit number. This method is effective and straightforward, enabling you to calculate squares efficiently.