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# All from 9 and the last from 10

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The second sutra "Nikhilam sutra" literally means " ALL FROM 9 AND THE LAST FROM 10 " helps in performing instant subtraction.
Before proceeding further, let me tell you about Place Value of any number .

The Place Value of 187
Place value of 7 is 7 units
Place value of 8 is 8 tens
Place value of 1 is 1 hundreds

For the number 1623
Place value of 1 is 1 thousands.

Now to our "All from 9 and the last from 10" sutra :

Example 1 :1000-687= ?

We have to subtract the last unit digit from '10 ' and the tens and thousands from the number ' 9 . Here our number is "687" in which the Units digit is 7 ,Tens is 8 and Hundreds is 6. So applying our sutra ,
7 from 10 = 3
8 from 9 = 1
6 from 9 = 3 ,we get the value 313.

Therefore , 1000-687 = 313

Example 2: 10000-5674=?
4 from 10 = 6
7 from 9 = 2
6 from 9 = 3
5 from 9 = 4 , We get the result as 4326

Therefore, 10000-5674 = 43264
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