Today we are sharing some special cases of multiplication which will help you to solve simplification problems quickly and easily. Try to apply these techniques for speedy calculations and keep practicing !!

I have already shared Vedic maths trick to Multiply large numbers here.

### GENERAL RULES FOR MULTIPLICATION

__EXAMPLE__- 62 × 71**- Multiply the right hand side digits**

__Step 1__**- Cross-Multiplication**

__Step 2__**- Multiply the left hand side digits**

__Step 3__
ANSWER = 4402

#### MULTIPLICATION BY A 3-DIGIT NUMBER

*- 198 × 256*__EXAMPLE__

__Step 1 -__

__Step 2-__

__Step 3 -__

__Step 4 -__

__Step 5 -__

#### MULTIPLICATION BY A 4-DIGIT NUMBER

*- 4325*__EXAMPLE__**×**

**3216**

__Step 1 -__

__Step 2 -__

__Step 3 -__

__Step 4__

__Step 5__

__Step 6__

__Step 7__#### Multiply by 5

To multiply any number with 5, we will

"MULTIPLY THE NUMBER WITH 10 AND DIVIDE IT WITH 2 "

__EXAMPLE__

**Multiply 2469 by 5**

**- Multiply 2469 with 10**

__Step 1__
=> 2469

**×**10 = 24690**- Divide 24690 by 2**

__Step 2__
=> 24690/2 = 12345

ANSWER = 12345

#### MULTIPLY BY 9

To multiply any number with 9, we will

" MULTIPLY THE NUMBER WITH 10 AND SUBTRACT THE NUMBER ITSELF "

__EXAMPLE__

**Multiply 4582 by 9**

**- Multiply 4582 with 10**

__Step 1__
=> 4582

**×**10 = 45820**-Subtract the number itself from the result**

__Step 2__
=> 45820 - 4582 = 41238

ANSWER = 41238

#### MULTIPLY BY 11

To multiply any number with 11,we will

" WRITE ZERO TO THE LEFT SIDE OF THE NUMBER. KEEP THE LAST DIGIT SAME AND START ADDING THE SUCCESSIVE DIGITS FROM RIGHT HAND SIDE "

OR

" MULTIPLY THE NUMBER WITH 10 AND ADD THE NUMBER ITSELF "

__EXAMPLE__**Multiply 89067 by 11**

**- Write zero to the left side of the number.**

__Step 1__
=> 089067

**- Keep the last digit same and start adding the digits from right hand side.**

__Step 2__
=>

ANSWER -

**979737**

__OR__**- Multiply the number with 10**

__Step 1__
=> 89067

**×**10 = 890670**- Add the number itself to the result**

__Step 2__
=> 890670 + 89067 = 979737

ANSWER = 979737

#### MULTIPLY BY 25

To multiply any number with 25, we will

" MULTIPLY THE NUMBER WITH 100 AND DIVIDE IT WITH 4 "

__EXAMPLE__####
**MULTIPLY 15698 by 25**

**- Multiply the number with 100**

__Step 1__
=> 15698*100 = 156980

**- Divide it with 4**

__Step 2__
=> 1569800/4 = 392450

ANSWER = 392450

#### MULTIPLICATION OF NUMBER CLOSE TO 100,1000 ...

**Step 1**- Take base as 100 and find the distance of the numbers from 100.

**Step 2**- Add the distances of the numbers by considering signs of the numbers and add the result to 100 and put two zeros to the right side of the number

**Step 3**- Now, Multiply the distances of the numbers and add to the result of step 2.

**Step 4**- Add the values of Step 3 and Step 4.

Lets understand this technique with the help of example :

**Multiply 92**

**×**

**97**

In case of 1000, take base as 1000 and remaining steps will remain the same.

#### CHECKING OF MULTIPLICATION

__DIGIT SUM METHOD__

This method is also known as Nines Remainder Method. Digit sum of a number can be found by adding the numbers. In this, we always reduce the digit sum to single figure.

The digit sum of the number must be equal to the digit sum of the answer.

If we get both side equal. we may conclude that our calculation is correct.

*- 92*

__EXAMPLE__**×**97

=> 92

**×**97 = 8924
=> (9 + 2 )

**×**( 9 + 7 ) = 8 + 9 + 2 + 4 ( Don't count 9's or digits having sum 9 )
=> 2

**×**7 = 14 (1 + 4)
=> 5 = 5