Last time, I have shared squaring numbers ending in 5. This time let us try to square numbers near 100 - those numbers less than 100 or numbers greater than 100.
Number near and less than 100.
Example 1: Find the square of 98.
step 1. Find the difference of 100 and the number. That is 100 - 98 = 2.
step 2. Since the number is less than 100, subtract 2 from the given number.
step 3. Square the result in step 1. The square of 2 is 4.
step 4. Combine the result in step 2 and 3. The first two 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 only a one digit number, we need to add 0 to make it a
two digit number. The result which is 4 becomes 04.
Therefore the square of 98 is 9,604.
Example 2: Find the square of 91.
step 1. Find the difference of 100 and the given number. That is 100 - 91 = 9.
step 2. Subtract 9 from the given number. That is 91 - 9 = 82.
step 3. Square the result in step 1. That is the square of 9 which is 81.
step 4. Combine the results in step 2 and 3. The result is 8281.
Therefore, the square of 91 is 8,281.
Try to find the square of the following numbers:
1. 93
2. 94
3. 96
4. 97
5. 99
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