# Multiplication by 11

To understand the multiplication by 11 trick, take a look at the following multiplication below: Did you make the following two important observations?

First, notice that the digits of the number that is multiplied by 11 appear again in the answer

Second, the number in the middle of the answer is always found by adding the digits of the number that is multiplied by 11

This is the basic facts that you have to remember to quickly multiply numbers by 11

Therefore, if you want to use this trick, all you have to do is add the digits of the number and put the answer between the number

Other examples

1) 35 × 11

Just add 3 and 5 to get 8

Put 8 between 3 and 5

2) 18 × 11

Just add 1 and 8 to get 9

Put 9 between 1 and 8

3) 43 × 11

Just add 4 and 3 to get 7

Put 7 between 4 and 3

Now, look at this example 48 × 11
Add 4 and 8 to get 12

Just put 12 between 4 and 8???

No, it does not work like this!

You can still put 2 in between. However, since the number is bigger than 9, you have to carry the 10 represented with a 1 over the 4

1 + 4 = 5. Thus the answer is 528

4) 85 × 11

Just add 8 and 5 to get 13

Add 1 to 8 to get 9

Put 3 between 9 and 5

5) 78 × 11

Just add 7 and 8 to get 15

Add 1 to 7 to get 8

Put 5 between 8 and 8

## Recent Articles 1. ### High School Math Teacher

Jan 20, 20 03:17 PM

Top-notch information for those who want to become a high school math teacher. All important stuff that you need to know before making a move can be found right here on this website.

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius! Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.