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Find the squares of the following no.s containing 5 in unit place 15 , 95?
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Find the squares of the following no.s containing 5 in unit place 15 ,...
(i)    (15)2 = 1 x (1 + 1) x 100 + 25
                = 1 x 2 x 100 + 25
                = 200 + 25 = 225

(ii)    (95)2 = 9 x (9 + 1) x 100 + 25
                = 9 x 10 x 100 + 25
                = 9000 + 25 = 9025

(iii)   (105)2 = 10 x (10 + 1) x 100 + 25
                = 10 x 11 x 100 + 25
                = 11000 + 25 = 11025 

(iv)    (205)2 = 20 x (20 + 1) x 100 + 25
                = 20 x 21 x 100 + 25
                = 42000 + 25 = 42025  
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Find the squares of the following no.s containing 5 in unit place 15 ,...
Squares of Numbers Ending in 5

To find the squares of numbers ending in 5, we can utilize a simple rule that applies to these numbers. Let's take the numbers 15 and 95 as examples and calculate their squares.

Square of 15:
To calculate the square of 15, we can follow these steps:

1. Identify the non-unit digit, which is 1 in this case.
2. Multiply the non-unit digit by its successor (1 × 2 = 2). This result will be the first two digits of the square.
3. Append 25 to the result obtained in step 2. This will be the last two digits of the square.
4. Combine the results from step 2 and step 3 to get the final square.

For 15:
1. Non-unit digit: 1
2. Multiply 1 by its successor: 1 × 2 = 2
3. Append 25: 225
4. Final square: 225

Therefore, the square of 15 is 225.

Square of 95:
To calculate the square of 95, we can follow the same steps:

1. Non-unit digit: 9
2. Multiply 9 by its successor: 9 × 10 = 90
3. Append 25: 9025
4. Final square: 9025

Therefore, the square of 95 is 9025.

Summary:
The squares of numbers ending in 5 can be calculated by following these steps:

1. Identify the non-unit digit.
2. Multiply the non-unit digit by its successor.
3. Append 25 to the result obtained in step 2.
4. Combine the results from step 2 and step 3 to get the final square.

By applying this rule, we found that the square of 15 is 225 and the square of 95 is 9025.
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Find the squares of the following no.s containing 5 in unit place 15 , 95?
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