HOW TO MULTIPLY A NUMBER BY 11 USING VEDIC MATHS TRICKS
Let us discuss the how to multiply two numbers quickly, how to multiply two numbers easily,how to multiply two numbers fastly , fast way to multiply two digit numbers, fastest way to multiply two digit numbers any number however large with 11 in fraction of seconds. With the help of this method , we can multiply any number in just 2 - 3 seconds.
2 Keep on adding each digit of the multiplicand from extreme right to its neighbour till end , if any stage sum is obtained greater than 10 then carry of 1 will be added to next step.
Let us understand it better with the help of video
- Examples
52324 × 11= ?
1 Place zero at right end of the multiplicand like this 523240
2 Now add 0 to its neighbour 4 as 0 + 4 = 4
3 Now add 4 to its neighbour 2 as 4 + 2 = 6
4 Now add 2 to its neighbour 3 as 2 + 3 = 5
5 Now add 3 to its neighbour 2 as 3 + 2 = 5
6 Now add 2 to its neighbour 5 as 2 + 5 = 7
7 Place left most digit as it is = 5
8 Write the digits so obtained from top to bottom as right to left
So Answer will be 5,75,564
This video demonstrate the process of multiplication very easily
- Examples
4543423 × 11= ?
1 Place zero at right end of the multiplicand like this 45434230
2 Now add 0 to its left neighbour 3 as 0 + 3 = 3
3 Now add 3 to its left neighbour 2 as 3 + 2 = 5
4 Now add 2 to its left neighbour 4 as 2 + 4 = 6
5 Now add 4 to its left neighbour 3 as 4 + 3 = 7
6 Now add 3 to its left neighbour 4 as 3 + 4 = 7
6 Now add 4 to its left neighbour 5 as 4+ 5 = 9
6 Now add 5 to its left neighbour 4 as 5 + 4 = 9
7 Place left most digit as it is = 4
8 Write the digits so obtained from top to bottom as right to left
So Answer will be 4,99,77653
3598678 × 11= ?
1 Place zero at right end of the multiplicand like this 3598678
2 Now add 0 to its neighbour 8 as 0+8= 8
3 Now add 8 to its neighbour 7 as 8+7=15 write 5 and carry 1 to next step
4 Now add 7 to its neighbour 6 as 7+6=13+1 (carry)=14 write 4 and carry 1 to next step
5 Now add 6 to its neighbour 8 as 6+8 = 14+1(carry) = 15 write 5 and carry 1 to next step
6 Now add 8 to its neighbour 9 as 8+9=17+1(carry) =18 write 8 and carry 1 to next step
7 Now add 9 to its neighbour 5 as 9+5=14+1(carry) = 15 write 5 and carry 1 to next step
8 Now add 5 to its neighbour 3 as 5+3=8+1(carry) = 9
9 Place left most digit as it is = 3
11 Write the digits so obtained from top to bottom as right to left
So Answer will be 3,95,85458
8923586 × 11 = ?
1 Place zero at right end of the multiplicand like this 89235860
2 Now add 0 to its neighbour 6 as 0+6 = 6
3 Now add 6 to its neighbour 8 as 6+8=14
write 4 and carry over 1 to next step
4 Now add 8 to its neighbour 5 as 8+5=13+1(carry) = 14
write 4 and carry over 1 to next step
5 Now add 5 to its neighbour 3 as 5+3=8+(1)carry= 9
6 Now add 3 to its neighbour 2 as 3 + 2 = 5
7 Now add 2 to its neighbour 9 as 2+9=11
write 1 and carry over 1 to next step
8 Now add 9 to its neighbour 8 as 9+8=17+(1)carry = 18
write 8 and carry over 1 to next step
9 Now add 1(carry ) to its neighbour 8 as 1+8 = 9
Write all the digits so obtained from top to bottom as right to left.
So answer will be 98,159,446
35681237 ×11 = ?
1 Place right most digit 7 of multiplicand as right most digit of answer.
2 Keep on adding right sided digit to its left sided digit in pairwise.
3 If the sum at any time is found to be more than 10, then take "1" as carry over to next step every time.
4 Repeat the process till last digit. So After 1st step we shall have 7
After 2nd step we shall have 7+3=10 =0 (right sided digit of 10 ) and 1 as carry to next step.
After 3rd step we shall have 3+2=5+1=6 and no number as carry to next step.
After 4th step we shall have 2+1=3 and no number as carry to next step.
Similarly we get 1+8=9,
and 8 + 6 = 14 = 4 as (right sided digit of 14 ) and 1 as carry to next step.
5 + 6 = 11 + 1 = 12 = 2 (right sided digit of 12), and
3+8 = 8 + 1 = 9;
And the last digit = 3
Now write all the highlighted digits from bottom to top .
So Answer will be 392493067
These are some of the examples demonstrated in the video given below
Application of this Method
If we have to multiply 666854×55
then rewrite given product as 666854×(11×5)
Now multiply 666854×11 as follows
Step 1
Place right most digit 4 as result and keep on adding the digits to its left one by one which gives 7335394, and
Step 2
Now place 0 as right most digit of this result i. e.73353940 ,
Step 3
Now divide with 2 we get 36676970 and this is the Final answer.
Example
Example
Let us multiply 35987604 × 55
Rewrite 35987604 × (11×5)
Multiply 35987604 × 11 = 395863644
Now place "0" at extreme right of this number it become 3958636440 ,
Now divide this number with 2 to get the Answer 1979318220.
Now Fast multiplication with one more Example
Now Fast multiplication with one more Example
69852364639×55
Step 1
1st multiply the given number with 11 by placing and adding digits from left to right 9,12,9,10,10,9,5,7,13,17,15,6 (if total greater than 10 ,carry 1 to next number) like this 9,2,0,1,1,0,6,7,3,8,6,7.
Step 2
Write these numbers from left to right, place zero at end and divide by 2 to get the answer like this 7683760110290 → 384,188,005,5145.
Conclusion
This shortcuts method was to multiply a number with 11 . Thanks for spending your precious time to read this post ,If you liked this post . Please share it with your friends and also follow me on my blog to encourage me to do better than best. See your in next post, till then Bye.....
