Here is the second part of the method of squaring a number near 100.
Number Near and Greater than 100
Example 1: Find the square of 101.
step 1. Find the difference of the given number and 100. That is 101 - 100 = 1.
step 2. Since the number is greater than 100, add the result in step 1 to the given number.
step 3. Square the result in step 1. The square of 1 is 1.
step 4. Combine the result in step 2 and 3. The first three digits from the left will be from
the result in step 2 and the other two digits will be from the result in step 3.
Since the result in step 3 is a one digit number, add zero (0) to make it a two digit
number. The number 1 becomes 01.
Therefore, the square of 101 is 10,201.
Example 2: What is the square of 109?
step 1. Get the difference between the number and 100. That is 109 - 100 = 9.
step 2. Add the result in step 1 to the given number. That is 109 + 9 = 118.
step 3. Square the result in step 1. The square of 9 is 81.
step 4. Combine the results in step 2 and 3. That is 11881.
Therefore, the square of 109 is 11,881.
Try to find the square of the following numbers:
1. 103
2. 105
3. 106
4. 107
5. 108
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