# 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

_ _ _ __5__3

** **

**Step 3:**Adding all the three digits

We get 3 + 2 + 1=6

_ _ __6__ __5__3

**Step 4:**Adding tenth and hundredth place digit

We get 2 + 1=3

_ __3__ __6__ __5__3

**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

_ _ _ __7__3

** **

**Step 3:**Adding all the three digits

We get 4 + 3 + 2=9

_ _ __9__ __7__3

**Step 4:**Adding tenth and hundredth place digit

We get 3 + 2=5

_ __5__ __9__ __7__3

**Step 5:**Hundredth place digit is 2 which we shall write it down.

** **We get 25974

**Ans: 234 x 111=25974**

## Recent Comments