MULTIPLICATION OF SERIES OF NINE

Here series of NINE means 9, 99, 999, etc.

Take any digit number as a multiplicand. Multiplier should be the same number of digits of 9.
Example: - 327*999
327 is a multiplicand and multiplier is 999.Both is three digit numbers.
How to find the Multiplication above?

Step 1:- subtract 1 from the multiplicand. This is the first part of the answer. Here 327-1=326.
Step 2:- Take the compliment of the multiplicand. This is the second part of the answer. Here 1000-327=673.
Step 3:- To get an answer, write the result of step 2 after step 1 as 326673.
So the answer of 327*999 is 326673.

Another example: - 47585*99999
Step 1:- subtract 1 from 47585, which will be 47584.
Step 2:- complement of 47585 =100000-47585=52415.
Step3:- To find an answer, write 52415 after 47584.
So the answer of 47585*99999 is 5241547584.

Verify above examples by traditional method and any other alternative method.