Vedic / Quicker / Shortcut Math ⇒ Topic : Square any number from 90 to 99

Siya
 
This shortcut method is one of my favorite that I like to apply when I see a number such as 98 or 99 as all I need to know is how to subtract and square of numbers from 1 to 9. Now lets go through the steps Step 1:Assume 100 as base and find the difference between the number to be squared and 100. Step 2:Subtract the difference you found in step 1 from the number to be squared to find tenth place digit. Step 3:Square the difference and place it next to step 2. Once you know the technique you can square any number from 90 to 99 mentally. Let us see few examples to understand better Example 1: 98^{2}=? Step 1:Assuming 100 as base, we shall find the difference 10098=2 We get the difference as 2 Step 2:Subtracting the difference(2) from the number to be squared(98) we get, 982=96 96 is the tenth place digit Step 3:Squaring the difference we found in step 1 we get 2^{2}=4 4 is the Unit place digit. 98^{2}=9604 Example 2: 99^{2}=?Step 1:Assuming 100 as base, we shall find the difference between the number to be squared(99) and 100.10099=1 We get the difference as 1 Step 2:Subtracting the difference(2) from the number to be squared(98) we get, 991=98 98 is the tenth place digit Step 3:Squaring the difference we found in step 1 we get 1^{2}=1 1 is the Unit place digit. 99^{2}=9801  
 
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