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In the previous article, we learnt the technique of "how to multiply numbers with a series of 9’s". In this article, we shall learn the technique of "how to multiply numbers with a series of 1’s". So, we shall multiply the numbers with 1, 11, 111,..... etc.
I. Let us start with the vedic multiplication by 11
In this technique, we use "vertically and crosswise" vedic sutra. Take example of ab x uv, and apply the sutra as follows:
a b
u v
---------------------
a x u | av + ub | b x v
---------------------
(Here '|' is used just as separator)
Here we are splitting the answer in three parts as following:
During multplication with 11, u=1 and v=1, means:
a b
1 1
--------------------
a | a + b | b
--------------------
Example: Multiply 53 by 11
In the previous article, we learnt the technique of "how to multiply numbers with a series of 9’s". In this article, we shall learn the technique of "how to multiply numbers with a series of 1’s". So, we shall multiply the numbers with 1, 11, 111,..... etc.
I. Let us start with the vedic multiplication by 11
In this technique, we use "vertically and crosswise" vedic sutra. Take example of ab x uv, and apply the sutra as follows:
a b
u v
---------------------
a x u | av + ub | b x v
---------------------
(Here '|' is used just as separator)
Here we are splitting the answer in three parts as following:
- vertically =(b x v)
- crosswise multiplication and add =(a x v) + (b x u)
- vertically =(a x u)
a b
1 1
--------------------
a | a + b | b
--------------------
Example: Multiply 53 by 11
