Vedic / Quicker / Shortcut Math ⇒ Topic : Multiply any 3 digit number by 111

Sachin
 
In my previous post, we learnt how the multiply any 2 digit number by 111.Today we shall see the shortcut way to multiply any 3 digit number by 111. Lets go through the steps below Step 1:Write down the unit place digit of the 3 digit number. Step 2:Add unit place digit and tenth place digit and write down the number to the left of the unit place digit number. Step 3:Add unit place digit, tenth place digit and hundreth place digit and write down the number. Step 4:Add tenth place digit and hundredth place digit and write down the number. Step 5:Write down the hundredth place digit. Now, we shall consider some examples to understand better. Example 1: 123 x 111=? Step 1:Unit place digit is 3 which we write it down as it is. _ _ _ _ 3 Step 2:Adding unit place digit and tenth place digit We get 3 + 2=5 _ _ _ 53 Step 3:Adding all the three digits We get 3 + 2 + 1=6 _ _ 6 53 Step 4:Adding tenth and hundredth place digit We get 2 + 1=3 _ 3 6 53 Step 5:Hundredth place digit is 1 which we shall write it down. We get 13653 Ans 123 x 111=13653 Example 2:234 x 111=?Step 1:Unit place digit is 4 which we write it down as it is._ _ _ _ 4 Step 2:Adding unit place digit and tenth place digit We get 4 + 3=7 _ _ _ 73 Step 3:Adding all the three digits We get 4 + 3 + 2=9 _ _ 9 73 Step 4:Adding tenth and hundredth place digit We get 3 + 2=5 _ 5 9 73 Step 5:Hundredth place digit is 2 which we shall write it down. We get 25974 Ans: 234 x 111=25974  
 
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