An e-learning module based on ‘Vedic Mathematics’ by Jagadguru Swami Sri Bharati Krishna Tirthaji Maharaja. Note: The PowerPoint version of this presentation has animation and transitions. So some slides may appear cluttered or odd since these features may not be supported in SlideShare.

1. Module Developed by Prakasam Akondy
BASICS OF VEDIC MATHEMATICS
Based on ‘Vedic Mathematics’ by Jagadguru Swami Sri Bharati Krishna Tirthaji Maharaja
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2. Estimated viewing time: 30 Minutes
Part 1 of 2
MULTIPLICATION
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Basics of Vedic Mathematics

4. Basic Example
Principles of Vedic Mathematics help in simplifying multiplication,
especially when it involves large numbers. Let us first look at how
we can calculate the product of two, two-digit numbers.
Consider the
product of the two
numbers, 91 and
92.
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5. Basic Example
The first step is to identify the
closest base for each of the
given numbers. For example, the closest base to
91^ is 100. Similarly, the closest
For the purpose of this base to 92^ is also 100.
module, the base is a power
of 10 such as 10, 100, 1000 etc.
The closest base is that
particular base in which the
power is equal to the number
of digits in the given number.
^(For the purpose of this module, we assume both numbers
have the same base.)
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6. Basic Example
Now, we will use a format derived using Vedic Mathematics
principles, to simplify the calculation of 91 * 92.
Just follow my guidelines
on the following slides to
understand the use of this
format.
Basics of Vedic Mathematics

7. Basic Example
Closest base to 91 and 92 = 100
Numbers to be 91 -9 91 – 100 (closest base)
multiplied
92 – 100 (closest base)
92 -8
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8. Basic Example
Now, perform the calculations indicated below.
91 -9
92 -8
91 + 92 - 100 -9 * -8
83 72
Numbers to be Closest
91 - 100 92 - 100
multiplied Base
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9. Basic Example
The product of 91 and 92 is given by the four-digit number
resulting from joining the two results!
Simple isn’t it?
91 -9
92 -8
91 + 92 - 100 -9 * -8
83 72
91 * 92 = 8372
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10. Any guesses?
Now that you have seen an example, can you guess if this
method will work for calculating the product, 107 * 113.
A. Yes, this method will work because we can use the base 100.
B. No, this method will not work because both numbers are
greater than the base 100.
Basics of Vedic Mathematics Click an option.

11. Any guesses?
The product, 107 * 113 can indeed be calculated using the same
method. Here is how:
107 +7
113 +13
107 + 113 - 100 7 * 13
Calculation result 1 120 91 Calculation result 2
107 * 113 = 12091
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12. Example with Carry Forward
I hope you have now got an idea about how Vedic
Mathematics can simplify calculations. Let me now
show a slightly more complex calculation.
Consider the product, 88 * 91.
Basics of Vedic Mathematics

13. Example with Carry Forward
Since 100 is the nearest base, using the format we get:
88 -12
91 -9
88 + 91 - 100 -12 * -9
Calculation result 1 79 108 Calculation result 2
In the final step, if we were to
use the rationale as before, we
would (mistakenly) conclude that
88 * 91 = 79108
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14. Example with Carry Forward
If the number of digits in the result on the right exceeds the
number of zeroes in the selected base, then the left-most digit
gets carried over.
88 -12
91 -9
88 + 91 - 100 -12 * -9
80 108
79
Therefore, the product 88 * 91 = 8008
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15. Quiz
Which of the following values represents the product, 89 * 97 ?
Calculate the product using the principles of Vedic
Mathematics.
A. 8633
B. 8533
C. 8643
D. 9233
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16. Quiz
The product, 89 * 97 = 8633. It can be calculated as follows:
89 -11
97 -3
89 + 97 - 100 -11 * -3
Calculation result 1 86 33 Calculation result 2
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17. Principle
Now that you have seen a few
examples, let us understand the
generic principle behind this
calculation technique.
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18. Principle
For the purpose of this module, the base is a power of 10 such as
10, 100, 1000 etc. Let x be the base. Let two numbers be written
as:
A= x + a and B = x + b. To find A * B, we write:
A * B = (x + a) * (x + b) = x (x + a + b) + ab
x[x + (A-x) + (B-x)] + ab
x[A + B – x] + ab
The format used is thus explained.
A a
B b
A + B - x a * b
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19. Summary
1. Sum the numbers to be
multiplied
2. Subtract the closest
4. Calculate the difference
base from the sum
between each number and
107 +7 the closest base.
113 +13
107 + 113 - 100 7 * 13 5. Multiply the two
numbers.
3. This forms result 1 120 91 6. This forms result 2
7. Combine results 1 and 2.
107 * 113 = 12091
Basics of Vedic Mathematics

20. Summary
88 -12
91 -9
88 + 91 - 100 -12 * -9
79 108 If the number of digits in this result
is greater than the power of the
80 08 base, the left-most digit gets carried
over.
88 * 91 = 8008
Basics of Vedic Mathematics

21. What Next…
I am sure after you have
mastered this particular
technique, you will have several
questions.
• What happens if the differences from the base are of opposite
signs?
• What if the closest base is different for both numbers?
• Will this work for larger numbers?
…and so on.
More on such variations in the next module. See you soon!
Basics of Vedic Mathematics

22. Thank You
Prakasam Akondy Linkedin
Basics of Vedic Mathematics