Mathematics is full of fascinating shortcuts and tricks that make complex calculations simpler and more intuitive. One such handy trick is quickly squaring any number that ends with 5. Whether you’re tackling 25, 75, 105, or even larger numbers like 995, this method provides a swift and efficient way to find the square without reaching for a calculator.The Simple Trick ExplainedThe trick involves just three straightforward steps:Identify the leading digits (excluding the ending 5).Multiply this number by its next consecutive integer.Attach 25 to the end of this product.Let’s break down each step with detailed examples to understand how and why this works.

Step-by-Step

Example 1: Squaring 25

Step 1: Identify the leading digit(s).For 25, the leading digit is 2.

Step 2: Multiply by the next consecutive integer.The next integer after 2 is 3.Multiply them: 2 × 3 = 6.

Step 3: Attach 25 to the product.Place 25 after 6 to get 625.

Result: [ 25^2 = 625 ]

Explanation: This method quickly reveals that 25 squared equals 625 without extensive multiplication.

Example 2: Squaring 75

Step 1: Identify the leading digit(s).For 75, the leading digit is 7.

Step 2: Multiply by the next consecutive integer.The next integer after 7 is 8.Multiply them: 7 × 8 = 56.

Step 3: Attach 25 to the product.Place 25 after 56 to get 5625.

Result: [ 75^2 = 5625 ]

Explanation: Even with a larger number like 75, this trick simplifies the squaring process significantly.

Example 3: Squaring 105

Step 1: Identify the leading digit(s).For 105, the leading digits are 10.

Step 2: Multiply by the next consecutive integer.The next integer after 10 is 11.Multiply them: 10 × 11 = 110.

Step 3: Attach 25 to the product.Place 25 after 110 to get 11025.

Result: [ 105^2 = 11025 ]

Explanation: This demonstrates that the trick scales well even as numbers grow larger.

Example 4: Squaring 995

Step 1: Identify the leading digit(s).For 995, the leading digits are 99.

Step 2: Multiply by the next consecutive integer.The next integer after 99 is 100.Multiply them: 99 × 100 = 9900.

Step 3: Attach 25 to the product.Place 25 after 9900 to get 990025.

Result: [ 995^2 = 990025 ]

Explanation: Even with very large numbers, this method remains efficient and accurate.