# Square of a number which lies between 125 and 175 by using 100-125-150

Lets say, we want to calculate the square of 146. The entire steps are illustrated in the following figure.

Steps for better understand:

Step 1: On Base 100, given number 146 is 46 more than 100. Add 46 and 146, the result is 192.

Step 2: On 125, given number 146 is 21 more. Add 21 and 192, the result is 213. This is the 1st part of the answer.

Step 3: On 150, given number 146 is 4 less. Find the square of 4, the result is 16. This is the 2nd part of the answer.

The final answer is 21316

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