Vedic Subtraction - Vedic Maths Tricks
Subtraction is made easy and simple mathematical operation by Vedic mathematics. When subtracting 1 from zero, the answer contains only 9s. In this technique...
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Subtraction is made easy and simple mathematical operation by Vedic mathematics. When subtracting 1 from zero, the answer contains only 9s. In this technique, we take the nearest power of 10 for the numbers involved and subtract the numbers from the base. Another rule called Nikhilam rule helps us.
For subtraction using Vedic maths, we follow the rules given below,
If the subtrahend is less than minuend, we subtract the numbers directly.
If any digit in minuend is less than the corresponding digit in subtrahend, we use the concept of complements.
Let us have a look at a few examples to understand these techniques.
(1)10000-8675
99910 - 8675 =1325 Answer.
In this, we subtract each digit of the number simply from 9 for all digits except for the last digit, which is subtracted from 10.
If the number has a smaller number of digits, add leading zeros to have more digits.
(2) Subtrahend is less than minuend.
3625 - 1789
Subtract the subtrahend from the highest next power of 10 by Nikhilam rule.
99910 - 1789 = 8211
Add the result to the minuend, i.e., 3625 + 8211 = 11836.
Deleting the first digit, 1, the answer is 1836.
4529 - 2380
In this, 2380, the last digit from the left is zero. Here ‘8’ is to be subtracted from 10, keeping the zero as the last digit from left.
Then,
99100 – 23 80 = 7620 + 4529
= 12149
Deleting the left first digit, the answer is 2149.
45827 - 398 (subtrahend is of less digits than minuend)
i.e., 45827 - 00398
i.e., 999910 - 00398 = 99602 ---------(1)
Add (1) with 45827
99602 + 45827 = 145429
Deleting 1, the answer is 45429.
Minuend less than subtrahend
351 - 497
Apply NIKHILAM rule to Minuend
9910 - 351 = 649
Add subtrahend
649 + 497 = 1146
Deleting 1, first digit at left, the answer is -146.
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