SUBTRACTION USING VEDIC MATHEMATICS

It is the continuation of the previous post 

Subtracting 9[edit]

Subtracting 9 is a very easy way. For example : 10-1=9 100-1=99

  Here, we observe that while subtracting 1 from 0's we net the answer is only as 9's

Subtraction from a power of 10[edit]

You will see in the multiplication section the Vedic Mathematics Sutra Vertically and Crosswise is used to multiply numbers near a power of 10, (e.g. 10, 100, 1000, etc.). The first step in this technique is to subtract the numbers you are working with from the nearest power of 10. Luckily another sutra can help with this initial subtraction.

All From 9 And The Last From 10 tells us how to subtract a number from the next highest power of 10; we simply subtract each digit of the number in question from 9 apart from the last one which we subtract from 10. It's as simple as that. For example:

• Subtract 8675 from 10000

${\displaystyle {\begin{matrix}9&9&9&10\\8&6&7&5&-\\\downarrow &\downarrow &\downarrow &\downarrow \\1&3&2&5\end{matrix}}}$

10000-8675=1325

The number you are subtracting must have the same number of digits as the number of zeroes in the power of 10 you are subtracting from. If your number has less digits than this you must pad the number with leading zeroes. e.g.

• Subtract 875 from 100000

${\displaystyle {\begin{matrix}9&9&9&9&10\\0&0&8&7&5&-\\\downarrow &\downarrow &\downarrow &\downarrow &\downarrow \\9&9&1&2&5\end{matrix}}}$

100000-875=99125

Reference: https://en.wikibooks.org/wiki/Vedic_Mathematics/Techniques/Addition_And_Subtraction