Shortcut to multiply any 3 digit number by 111

Shortcut to multiply any 3 digit number by 111
Shortcut to multiply any 3 digit number by 111 in seconds
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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