# Kerala PSC - Maths Shortcut Tricks (Multiplication)

####
In this tutorial we will try to learn a simple but effective shortcut technique for multiplying any number with 11 without using a pen or pencil or evening writing on paper.

Lets first start with any no. multiplied by 11.

## 3152 x 11 = ?

#### The first digit and last digit of the answer will remain constant 3 and 2.

#### Just keep adding the consecutive No.s

## ∴ 3152 x 11 = 34672

#### Some Examples

####
Example:1

53241 x 11 = ?

First Digit 5 as it is

5+3 = 8

3+2 = 5

2+4 = 6

4+1 = 5

Last Digit 1 as it is

∴ 53241 x 11 = 585651

####
Example:2

26134 x 11 = ?

First Digit 2 as it is

2+6 = 8

6+1 = 7

1+3 = 4

3+4 = 7

Last Digit 4 as it is

∴ 26134 x 11 = 287474

####
Example:3

23586 x 11 = ?

First Digit 2 as it is

5+3 = 5

3+2 = 8

2+4 = 13

4+1 = 14

Last Digit 6 as it is

Now apply balancing rule

∴ 23586 x 11 = 259446

####
Example:4

38429 x 11 = ?

First Digit 3 as it is

2+6 = 11

6+1 = 12

1+3 = 6

3+4 = 11

Last Digit 9 as it is

Now apply balancing rule

∴ 38429 x 11 = 422719

#### Let try this trick on a bigger number : -

##
6274598712 x 11 = ?

6274598712 x 11 = 69020585832

**MULTIPLY A NUMBER WITH 111**

Kerala PSC - Maths Shortcut Tricks (Multiplication)
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