Squaring Numbers above 25 in seconds

There are some cool tricks to square numbers above 25 in seconds :

Squaring numbers from 51 - 100

Step 1 : Subtract the number you want to square from 100. (100 - x)

Step 2 :  Take this difference and subtract it from the number you want to square. (x - (100 - x)). This is the first 2 digits of your answer.

Step 3 :  Square the difference, the answer from step 1. This is the last 2 digits of your answer.

Example : 96²

100 - 96 = 4.
96 - 4 = 92. You're halfway there. 92__.
4² = 16. There's your last 2 digits. Thus, your answer: 9,216. 

Squaring Numbers from 50-59

Square the tens digit and add to that the ones digit of your original number. That's your first two numbers. Second, square your ones digit. That's your last two numbers.
Step 1 : 5²+ 4 = 29. That's our first two numbers.

Step 2: 4² = 16. That's our last two numbers. Thus, the answer 2916

 Squaring numbers greater than 100

Step 1: Subtract 100 from the number you want to square (x - 100 )


Step 2:Take the difference and add it to the number you want to square. (x + (x - 100)). This is the first 3 digits of your answer.


Step 3: Square the difference, the answer from step 1. This is the last 2 digits of your answer.


Example: 112²

112 - 100 = 12
112 + 12 = 124. 124__.
12² = 144. Carry the 1 over the 4.
__144
124__
12,544

<sup>Squaring Numbers around 1000

It follows the same rule as the others described above.</sup>


996²

1000 - 996 = 4
996 - 4 = 992. 992___ First 3 digits.
4² = 16. Last 3 digits.
Answer: 992,0161007²


1007²



1007 - 1000 = 7
1007 + 7 = 1014. 1014___ First 4 digits.
7² = 49. Last 3 digits.
Answer: 1,014,049