a) Multiplying a 2-digit number with 11.
To multiply a 2-digit number with 11 follow these steps:-
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Divide the number into two parts.
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Add these two parts which will form the middle number of our answer.
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Insert this added part between divided two numbers.
Let us take an example to explain this. Now multiply 23 with 11.
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Divide 23 into two parts 2 and 3 respectively.
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Add these two parts to form the middle number (2+3) = 5.
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Insert this added value i.e 5 in between 2 and 3. this will give us 253.
23 x 11 = 253
Important:-What if the sum of divided numbers exceeds 10.
In this case, just take carry from the middle number and add it to the starting number. For example:- 78 x11
So here, divided numbers are 7 and 8 and the middle part will be 7+8 =15. Now take the carry 1 and add it to 7 resulting in answer 858.
b) Multiplying a number with 11
Now, let us take our multiplication of 11 to next level. What is there is a multi-digit number, how will you solve it? Its pretty simple it applies the extended rule of part a)
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Divide the numbers into parts such that each part is a single-digit
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Now, let's start placing numbers from the back lets place the last digit of the number at back. Then moving forward keep placing the sum of two consecutive digits from the back.
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At last, add the most significant digit to the front of the answer.
Let us understand it by taking the example 123 x 11.
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now split the digits as 1, 2, 3.
- The starting and ending digits of the number will be placed on their own position and the sum of consecutive digits will be inserted in between in order.
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take the sum of consecutive digits in order 1+2 =3 and 2+3 =5.
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now place the first and last digit of the number and in-between place the sum of digits in order i.e 1 3 5 3. this gives us the 1353 answer.
123 x 11 = 1353
When the sum of digits exceeds 10 then apply the method given in section (a).
Now you can easily find products of any number with 11 without using a calculator.
To learn addition with Vedic maths read at VEDIC ADDITION
Try some on your own.
- 45*11
- 234 * 11
- 1234 * 11
- 1331 * 11
Thank you!
