Vedic mathematics

1. BRAHMAGUPTA

2. TEAM MEMBERS
• 1)Akash .S
• 2)Awanish kumar
• 3)Dibya Ranjan giri
• 4)kamalanathan .R
• 5)Poonila
• 6)Rathod vinod
• 7)Sivapriya.S
• 8)Swati panda
• 9) Vijayalakshmi.S

3. Introduction - Vedic mathematics
• Vedic Maths is a collection of techniques/sutras to solve mathematical problem
sets in a fast and easy way. These tricks introduce wonderful applications of
Arithmetical computation, theory of numbers, mathematical and algebraic
operations, higher-level mathematics, calculus, and coordinate geometry, etc.
• It is very important to make children learn some of the Vedic maths tricks and
concepts at an early stage to build a strong foundation for the child. It is one of
the most refined and efficient mathematical systems possible.
• Vedic maths was discovered in the mid-1900s and has certain specific principles
to perform various calculations in mathematics. But the question that arises is
that is mathematics only about performing calculations?
• However fascinating it might be to calculate faster using Vedic mathematics
tricks, it fails to make a student understand the concepts, applications, and real-
life scenarios of those particular problems.

4. Father of Vedic mathematics
• Vedic Maths was discovered by Shri Bharti Krishna Tiratha who is also
called Father of Vedic Maths. He wrote a book by the name of Vedic
Mathematics. It contains Vedic Sutras or also called as Formulas which are
short cut tricks and techniques in Maths Arithmetic Calculations. These
techniques have been used by students all over the world.
• Vedic Maths was traditionally taught through aphorisms or Sutras. Sutras
are a thread of knowledge or we can call them a theorem. In layman terms,
it is the mathematical formula for faster calculations. Aphorisms of Vedic
Maths and aphorisms of Sanskrit as contained in Panini’s Ashtadhyayi. Both
Vedic maths and Sanskrit are built in the foundations of logic and
understanding of how the mind works.

5. 16 sutras of Vedic mathematics

7. Vedic maths tricks for addition
• The addition is one of the most basic operations of Vedic mathematics. It
states that,
• Find out the number which is closest to the 10s multiple because it is
easier to add those numbers.
• 7, 8, 9 close to 10
• 21, 22, 23 close to 20
• 67, 68, 69, are close to 70
• 97, 98, 99, are close to 100 ……. And so on
1)Add the numbers which are the multiples of 10s
2)Add/Subtract the deficiency of numbers.

8. • For example, Suppose we have the following question, 220 + 364 + 44 + 18 = ?
• Vedic maths tells us to break the numbers as per their place values. So, we will
break the addition into:
• 200 + 300 = 500
• 20 + 60 +40 +10 = 130
• 4 + 4 +8 = 16
• Repeat the process
• 500 + 100 = 600
• 30 + 10 = 40
• And at the units place we have 6.
• Now perform, 600 + 40 + 6 = 646

9. Vedic maths trick for subtraction
• 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.
1) When subtrahend is less than minuend: If we have to subtract 47
from 98, then, we can directly subtract the digits in subtrahend from
the corresponding digits in minuend.
98 – 47 = 51

10. • When any digit in minuend is less than the corresponding digit in
subtrahend: 896 – 239
• In this case for the places where the digit in subtrahend is greater we
use the complement symbol while subtracting as shown below,
• 896 – 239= 663¯
• The complement of 3 = 3¯ = 10 – 3 = 7
• While replacing the value of 3¯, we subtract 1 from the digit in the
next place. Here, 1 will be subtracted from 6.

11. Vedic maths tricks for Square root
• For performing square roots, we will have to keep some facts in mind
• Squares of numbers from 1 to 9 are 1, 4, 9, 16, 25, 36, 49, 64, 81.
• Square of a number cannot end with 2, 3, 7, and 8.
• We can say that numbers ending with 2, 3, 7, and 8 cannot have a perfect
square root.
• The square root of a number ending with 1 (1, 81) ends with either 1 or 9
• The square root of a number ending with 4 (4, 64) ends with either 2 or 8
• The square root of a number ending with 9 (9, 49) ends with either 3 or 7
• The square root of a number ending with 6 (16, 36) ends with either 4 or 6
• If the number is of ‘n’ digits then the square root will be ‘n/2’ OR ‘(n+1)/2’
digits.

12. • What is the square of 195?
• Step 1: 5 × 5 = 25
• Step 2: 19 × 20 = 380
• Step 3: Combining the two results, which will give us 38025 which is
the final answer.

13. Vedic maths trick for multiplication
• MULTIPLY A NUMBER BY 5
• Take any number, and depending on its even or odd nature, divide the number by 2 (get half of
the number).
• Even Number:
• 2464 x 5 =?
• Step 1. 2464 / 2 = 1232
• Step 2. add 0
• The answer will be 2464 x 5 = 12320
• Odd Number:
• 3775 x 5
• Step 1. Odd number; so ( 3775 – 1) / 2 = 1887
• Step 2. As it is an odd number, so instead of 0 we will put 5
• The answer will be 3775 x 5 = 18875

14. Multiplication Of Any 2-digit Numbers (11 –
19)
• There are 4 steps to get the result:
• Step 1. Add the unit digit of the smaller number to the larger number.
• Step 2. Next, multiply the result by 10.
• Step 3. Now, multiply the unit digits of both the 2-digit numbers.
• Step 4. Then add both the numbers.
• For example: Let’s take two numbers 13 & 15.
• Step 1. 15 + 3 =18.
• Step 2. 18*10 = 180.
• Step 3. 3*5 = 15
• Step 4. Add the two numbers, 180+15 and the answer is 195.

15. Conclusion
• Vedic Maths just showcases a process to do things faster. It does not
teach a child the underlying philosophy or the background of the
problem set given. Calculating faster is of no use if we fail to
understand the meaning or the learning behind the problem set.
• These tricks can do wonders only if used properly after imbibing a
proper learning experience. Practice makes a man perfect but
Learning makes a man capable. Therefore, make Vedic Maths a habit
only after understanding its nuances.