Squaring Numbers Ending with “5”
Squaring Numbers Ending with “5”
Squaring Numbers Ending with 5 can be simplified using the Vedic Maths. Squaring is simply multiplying a number by itself. Now, you will see, how to square numbers ending with 5.
Ex-1. Find the square of 65.
• First, we multiply the last digits, 5 × 5, and write down 25 as RHS (right-hand side) part of our answer.
• Now, multiply the tens digit, 6, by the next higher number, which is 7.
• So, we multiply 6 by 7 and write down the answer 6 x 7 = 42 as LHS (left-hand side) of our answer.
• So, our answer is 4225.
Ex-2. Find the square of 95.
• In this example, first we multiply the last digits, 5 × 5, and write down 25 as RHS (right-hand side) part of our answer.
• Apart from 5 the number is 9. The number that comes after 9 is 10.
• Now, we multiply 9 by 10 and write down the answer 9 x 10 = 90 as LHS (left-hand side) of our answer.
• So, our answer is 9025.
In the above examples, we solved two-digits numbers. But the same technique can be extended to numbers of any length. We can also square 3-digit numbers or large numbers in this way very easily.
Ex-3. Find the square of 105.
• We multiply the last digits, 5 × 5, and write down 25 as RHS (right-hand side) part of our answer.
• Apart from 5 the number is 1 and 0, that is, 10. The number that comes after 10 is 11.
• We multiply 10 by 11 and write down the answer 10 x 11 = 110 as LHS (left-hand side) of our answer.
• So, our answer is 11025.
Ex-4. Find the square of 185.
• First, we multiply the last digits, 5 × 5, and write down 25 as RHS (right-hand side) part of our answer.
• Apart from 5 the number is 1 and 8, that is, 18. The number that comes after 18 is 19.
• Now, we multiply 18 by 19 and write down the answer 18 x 19 = 342 as LHS (left-hand side) of our answer.
• So, our answer is 34225.
So you can see that this method is too simple and easy to squaring any numbers ending with 5. In fact, you can mentally
calculate the square of a number ending with a 5 in seconds. If you have any doubt, you can see our YouTube video on Knowledge Gallery.