## Shortcut to multiply any 3 digit number by 111

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