**Multiplication
by 11**

**H.D.
Motiramani**

Multiplication of any number with 11 is very easy. Here is a simple technique. It is in two steps.

**1) ****First**
and **last** **digit** of the number to be multiplied by 11 **remains
same** in answer.

2) **Middle
number** of the answer is **obtained b**y **adding the two
adjacent numbers**.

The process will become easier if we see some examples.

**Example1:** 35*11

In the answer, first digit will be 3, last digit will be 5 and middle digit will be 3+5 that is 8. So the answer will be 3 8 5 = 385

**Example 2:** 96*11

9First digit (9+6) Sum of the two 6 the Last digit

Here, Middle digit is 9+6 that is 15. Therefore, 5 will be retained in the middle and 1 will get carried to its left to get added to 9. Therefore, the answer will become 10 5 6 that is 1056.

**Example3:** 254*11

2first digit (2+5) (5+4) 4 Last digit

2 7 9 4 = 2794

**Example 4:** 598*11

5 first digit (5+9) (9+8) 8 = 5 14 17 8

Here, middle digits are to be made single digit by carrying 1 from 17 to it’s left where 14 will become 15. Likewise 15 will have 1 carry to its left to get added in 5 that will become 6. So, next step will be

5+1 5 7 8 = 6578

**Example5:** 6576*11

6 first digit (6+5) (5+7) (7+6) 6 last digit

6 11 12 13 6 = 6+1 2 3 3 6

Going from right to left the rightmost digit is 6, then 3 and 1 carry, then 12+1=13 that is 3 again and 1 carry, then 11+1=12 that is 2 and 1 carry, then 6+1 that is 7 So the answer is 72336

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