Squares of Numbers Ending with 5

To find the square of a number that ends with 5, we can follow a simple method. Let's take the number 105 as an example.

Step 1: Identify the Base Number
The base number is obtained by removing the digit in the unit's place, which is 5 in this case. So, the base number is 10.

Step 2: Square the Base Number
To find the square of the base number (10), we multiply it by itself. So, 10 * 10 = 100.

Step 3: Multiply the Base Number by 2
To get the final answer, we multiply the base number (10) by 2. So, 10 * 2 = 20.

Step 4: Combine the Results
The final answer is obtained by combining the results from steps 2 and 3. So, 100 + 20 = 1200.

Therefore, the square of 105 is 11025.

Summary:
To square a number ending with 5, follow these steps:
1. Identify the base number by removing the digit in the unit's place.
2. Square the base number.
3. Multiply the base number by 2.
4. Combine the results from steps 2 and 3 to get the final answer.

Example:
Let's take another example to further understand the process.
Number: 305

1. Base number: 30 (Remove the digit in the unit's place)
2. Square of the base number: 30 * 30 = 900
3. Multiply the base number by 2: 30 * 2 = 60
4. Final answer: 900 + 60 = 960

Therefore, the square of 305 is 93025.

Important Points:
- This method works for any number ending with 5, regardless of the number of digits.
- The process involves squaring the base number and then multiplying it by 2.
- The final answer is obtained by combining the results of the previous steps.

Conclusion:
Finding the square of a number ending with 5 can be easily done by following a simple method. By squaring the base number and multiplying it by 2, we can find the square of such numbers efficiently.