How to Find the Square of Numbers Ending with 5

Step-by-Step Guide to Squaring Numbers Ending with 5

This method relies on breaking down the number, performing a simple multiplication, and then appending a fixed value. Let's go through this process step-by-step to ensure clarity and comprehension.

First, identify the number without the last digit, which is always 5. For instance, in 45, the number without the last digit is 4. Let's denote this number as 'n'.

Next, multiply 'n' by 'n+1'. In our example, 'n' is 4, so you would multiply 4 by 5 = 20

Finally, append 25 to the result. In the example, Append 25 to 20, and we will get the result as 2025, which is the square of 45.

More Examples

Let's consider another example to reinforce the concept. Take the number 85. Removing the last digit (5) leaves us with 8. Here, 'n' equals 8. Multiply 8 by 9 (since 8+1 equals 9), resulting in 72 (8 * 9 = 72). Appending 25 to 72 gives us 7225. Thus, the square of 85 is 7225.

This method provides a quick and efficient way to find the square of any number ending in 5. It's especially useful for mental math, enabling rapid calculations without the need for a calculator.