## HOW TO MULTIPLY TWO DIFFERENT NUMBERS IN FASTEST AND QUICKEST WAYS Whenever we are to multiply two numbers then most of the time we undergo long calculations , and if we have to do easy calculation then we were lucky.

But what to do when we have to multiply two numbers in very short time. Suppose we have to multiply 32 with 11 then it is easy, because just put right most digit as it is and then increase every digit by one to left and at last put the left most digit as it is and put 352 as answer.

## Example

If we are to multiply 65 with 43 Then

Step 1
Multiply  right most digits with each other if result is less 10 then put it as right most digits of your answer and if result is  greater than 10 then put  unit place of result and  carry forward the unit place to next step, as follows

In this case 5 * 3 =15 here 5 will considered and 1 will be carry forwarded to next step

## Step 2

Add the carry forwarded number and multiplication of outermost and innermost numbers   and then put  unit place of result and  carry forward the unit place to next step, as follows
(6*3) + ( 5*4)  = 18+20 = 38
Now add carry forwarded number from previous step
38 + 1 = 39

Here 9 will considered and 3 will be carry forwarded to next step

## Step 3

Now add the carry forwarded  number to the product of left most numbers and put the result to the left of step 2 ‘s answer
6*4 = 24
Now add carry forwarded number 3 to 24 as follows
write here red coloured number from right to left while going bottom to top

### NOW FINAL   ANSWER  IS  2795

Another Example

84 × 48

#### Step 1

Multiply unit places with each other 4×8=32

Write 2 as left most digit of answer and 3 as carry forwarded

#### Step 2

Multiply and add innermost and outermost numbers
Multiply  × 4 and 8 × 8     i.e  16 + 64 = 80
And add  80 + 3 = 83

Put 3 to the left of 2 as obtained in step 1 and carry forwarded 8 to next step

#### Step 3

Multiply 8 × 4 = 32 and add 8 to it , we get 40
consider red coloured digits.

Last Example

98 × 76

#### Step 1

× 6 = 48  write  8   and carry as 4

#### Step 2

× 6 + 8 × 7 = 54 + 56 = 110
Add 4 to it      110 + 4 = 114

Write 4 and carry forwarded 11

#### Step 3

9×7 = 63

Add 11 to it  11 + 63 = 74

Quick look at this Example   78×57  to Multiply two numbers quickly

## Step 1

Multiply Right most digits 8 and 7 with each other to get product 56. So keep 6 as right most digits of answer and 5 as carry forward to next step.

## Step 2

Now  add the product of Outer most ( 7 with 7 ) and Inner most  (8 with 5 ) digits ,and add the carry forwarded number from previous step 1. i.e.  ( 7×7 ) + (8 ×5 ) = 49 + 40 = 89 + 5( Carry from previous step ) = 94. So keep 4 as second digit from right of answer and 9 as carry forward to next step.

## Step 3

Now Multiply Left Most digits 7 and 5 to get product 35,  Add the carry forwarded number 9 from previous step to 35 to get 44. Put this number 44 as 3rd and 4th digits from right of the answer.

So Final Answer will be 78 × 57 = 4446

## Conclusion

This post was regarding short cut method of Multiplying two and digits Numbers , Please share your precious views on this topic, and follow me on my blog to boost me to perform better, we shall meet in the next post , till then BYE . If you liked this post , share it with your friends through social media site (Whats app , Facebook etc ).

Share: