Multiplication with 11

Multiplication with 11 looks difficult, but it is easy too , if you follow this vedic maths technique..
In order to multiply a number from 11 , You have to move from the number's unit's degit to the last digit ( i.e. from the right to left ) . You have to simply put the unit's digit as it is in the final answer, then you have to add the Unit's degit number with the number at Ten's place and put the answer (if the total of the Unit's and Ten's digit goes above 10 then you should place only the unit digit at the answer and carry the carryover Ten's digit of the answer to the next Hundred's digit and so on till you reach the last digit ) .

Theoritically its too difficult for You to understand if you don't love maths ( like 9/10 people ) ....
So, lets take some example, firstly we should take a two digit number like 35
35 x 11 = Put 5 as the unit digit of your final answer
next add "3" and "5" (as we should move in the left direction digit by digit) and put "8" as the Ten's digit of your final answer.
lastly put "3" as the hundredth and last digit of your final answer. ( this is done because you have already dealt with 5 , 5+3 and lastly 3 )
So the final answer is 385
35 x 11 = 385 ( 3 , 3+5 , 5 )



Next lets take another two digit number's example of 95 to show you a case if the total of the unit and tenth digit of the number get more than 10, here 9+5 > 10 , so here, calculation is a bit tricky.
So, we put the unit digit as the uint digit of the final answer ( as we did in the above example ) and then we add the two digit i.e 9 and 5 and put "4" as the Tenth digit of the answer ( Since, 9 + 5 = 14 , we put "4" in the tenth place of the final answer and carry 1 to further add with 9 )
Next, now we have to add the carryover of 1 with the last leftover digit of 9 and put the final answer as 1045.
This is how I did:
95 x 11 = ( 9 , 9+5 , 5 ) [ Since 9+5 = 14 we put 4 and carry 1 to add with the hundredth place number i.e. 9 )
so, 95 x 11 = ( 9 , 14 , 5)
= ( 9+1 , 4 , 5 )
= (10, 4 , 5 )
= 1045 [ Our final answer ]

Now, we should take a four digit number as our example, like 2478
So, 2478 x 11 = ( 2 , 2+4, 4+7, 7+8, 8 )
= (2 , 6 , 11 , 15 , 8 ) [here both 7+8 and 4+7 > 10, thus we'll carryover]
= (2 , 6 , 11+1, 5 , 8 ) [ we carry over the "1" from "15" to add it to "11"]
= (2 , 6 , 12 , 5 , 8)
= (2 , 6+1 , 2 , 5 ,8) [we carry over the "1" from "12" to add it to "6"]
=(2 , 7 , 2 , 5 , 8)
= 27258 [ Final Answer ]
You can do the above method in very few steps and mentally too, once you understand the concept and practise a bit.
Self-Exercises :-

a) 24 x 11 = ?
b) 56 x 11 = ?
c) 598 x 11 = ?
d) 4589 x 11 = ?
e) 732865 x 11 = ?

Be free to comment and clear your doubts in case you face any doubt .


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