Vedic Maths Tricks For Fast Calculation

What is Vedic Mathematics

The ancient system of Vedic Mathematics was rediscovered from the Indian Sanskrit texts known as the Vedas, between 1911 and 1918 by Sri Bharati Krishna Tirthaji (1884-1960). At the beginning of the twentieth century, when there was a great interest in the Sanskrit texts in Europe, Bharati Krishna tells us some scholars ridiculed certain texts which were headed ‘Ganita Sutras’-which means mathematics.

Bharathi Krishna Tirthaji Biography

1. Jagadguru Shankaracharya Swami Bharati Krishna Tirthaji lived from 1884 to1960.
   
2. The Vedic system which he rediscovered is based on sixteen Sutras which cover all branches of Mathematics pure and applied. The methods he showed and the simple sutras are easy to apply.

3. At the age of just twenty he passed the M.A. Examination in further seven subjects simultaneously securing the highest honors in all, which is perhaps the all-time record of academic brilliance. His subjects included Sanskrit, Philosophy, English, Mathematics, History, and Science.

4. Bharathi Krishna wrote sixteen volumes on Vedic Mathematics, one on each Sutra, but the manuscripts were irretrievably lost. He said that he would rewrite them from memory but owing to ill-health and failing eyesight got no further than writing a book intended as an introduction to the sixteen volumes. That book “Vedic Mathematics”, written with the aid of an amanuensis, is currently available.

Features Of Vedic Mathematics-

1. Coherent

2. Flexibility

3. Mental improves memory

4. Promotes Creativity

5. Appeals to everyone

6. Increases mental agility

7. Efficient and fast

8. Easy and fun

Conventional Maths Vs Vedic Maths

Vedic Maths Sutras with examples

Vedic Maths Tricks for Addition

• In Conventional Maths, we add from right to left( starting from the unit place then Tens, and so on).
• It takes a lot of time. We write on paper and calculate or with help of our fingers.
• But can you believe, we calculate numbers mentally using pen and paper?
• In Vedic Maths, we add from left to right. And it is faster than the right to left. If you practice adding some numbers daily from left to right, then your mind also functions faster than before.

Vedic Maths Tricks for Subtraction

• In Conventional Maths, we subtract from right to left. (Starting from the Unit place, then Tens place and so on).
• In Vedic Maths, we subtract from left to right.
• When we subtract from 10,100,1000…….( forms of 10 numbers)we subtract all digits from 9 and the last digit(Unit digit) by 10.
• This is one of the sutras “All From Nine and Last from Ten” of Vedic Mathematics.

Vedic Maths Tricks for Multiplication

• In Conventional Maths, we multiply from right to left( starting from the unit place, then Tens place, and so on).
• In Vedic Maths, we multiply from left to right which is faster than the right to left. We can calculate it mentally without pen and paper.
• We apply Vedic Maths sutra ” Vertically Crosswise” while multiplication.

Multiplying by 11 tricks

When we multiply any number by 11, Just write the First digit of that number, then the last digit of that number, and in middle add two digits of that number.

Multiplying by 11 tricks for two digit number

For Example, When we multiply the two-digit number 34 with 11. Write the first digit 3 then the last digit 4 and write in middle i.e between 3 and 4 add the digits 3 and 4 i.e 7 and write down 7 between them.

34\times 11=3\; |\; (3+4)\; |4=374

Multiplying the number 22 with 27 , the fastest trick is

22\times 27=2\times 11\times 27=2\times \left [ 2\; |(2+7)\; |7 \right ]=2\times 297=594

Multiplying by 11 tricks for three digit number

Example When we multiply the three digit number 234 with 11 .

1. Write the first digit i.e the hundreds place digit 2.
2. Then add 2 and 3 i.e add hundreds place and tens place digit i.e 2+3=5
3. Then add Tens place digit and last digit(unit digit) i.e 3+4=7
4. Then write the last digit 4

234\times 11= 2\; |\: (2+3)\; |\; (3+4)\; |\; 4 =2574

For Example

3235\times 11= 3\; |\: (3+2)\; |\; (2+3)\;|(3+5)\; |\; 5 =35585

Tricks for Multiplying 33 by 74

33\times 74=3\times 11\times 74=3\times \left [ 7\; |\; (7+4)\: |\; 4 \right ]=3\times \left [ 7 \; |\; 11\;| 4\right ]=3\times 814=2442

Base Multiplication in Vedic Maths

Example- Multiply 89 with 97 ,

1. 89 is 11 below 100 and 97 is 3 below base 100.
2. subtract 3 from 89 and 11 from 97 we get 89-3=86 and 97-11=86. both are equal.
3. then multiply 3 and 11 i,e below base 100 digit. 11 x 3=33
4. the number we get from step 2 is 86 and the number we get in step 3 is 33
5. So the number is 8633
6. Multiplying 89 with 97 we get 8633

so,\: 89\times 97=8633

Above Base Multiplication-

Multiplying 103 with 104

1. Number 103 is 3 more than the base 100.
2. Number 104 is 4 more than the base 100.
3. Add 103 with 4 and add 104 with 3 , i.e 103+4=107, and 104+3=107. both are equal
4. Now Multiply 3 and 4 i.e above base digit. 3 x 4=12
5. The number we get in step 3 is 107 and the number we get in step 4 is 12.
6. write the number i.e 10712
7. So the number we get after multiplication is 10712

so,\: 103\times 104=10712

Special Multiplication rule

Squaring number ending in 5

Example-Find the square of 75.

solution- Multiply 75 with 75. Number ends with 5.

1. both numbers end with 5. Multiply digit 5 with 5 we get 25
2. Now Next number of the first digit 7 is 7+1=8
3. Multiply the digit 7 with next number 8 we get 7 x 8 = 56
4. The number we get from step 3 is 56, and the number from step 1 is 25
5. Write the number 5625

so,\: 75\times 75=7\times (7+1)\; |\; (5\times 5)=(7\times 8)\;|\: (5\times 5)=5625

By One More Than One Sutra

Example- Multiply 43 and 47

1. first digit is 4 i.e same in both numbers.
2. Sum of last two digits is 3+7=10
3. Next number i.e Add one with first digit 4 is 4+1=5
4. Multiply first digit 4 with next number 5 we get 4 x 5=20
5. Multiply last two digits i.e the digits whose sum is 10. 3 x 7=21
6. The number we get in step 4 is 20 and the number in step 5 is 21.
7. Write the number 2021

so,\: 43\times 47=4\times (4+1)\; |\; (3\times 7)=(4\times 5)\;|\: (3\times 7)=2021

By One less than One before sutra

Multiplying any number with group of 9’s

Multiplying by 9 tricks

Example- Multiply 287 by 999

1. Subtract one from the first number i.e 287. we have to do one less than one before i.e subtracting 1 we get 287-1=286
2. Now subtract 287 from 1000. i.e apply the sutra All from Nine and Last from Ten. subtract 9 from 2 and 8 i.e 9-2=7, 9-8=1, and subtract 10 from the last digit of the number 287 is 10-7=3
3. The number we get from step 1 is 286 and the number in step 2 is 713
4. Write the number 286713

So\; \; 287\times 999=(287-1)\; |\; (1000-287)=286713

Adding Or Subtracting Fractions

Add \; the \; fraction\: \frac{2}{3}\; and\; \frac{1}{5}

Solution- Using CrissCross multiplication we get

\frac{2}{3}\; + \frac{1}{5}=\frac{(2\times 5)+\left ( 3\times 1 \right )}{\left ( 3\times 5 \right )}=\frac{10+3}{15}=\frac{13}{15}

2. \; Subtract\; \; \frac{4}{7}\; - \frac{2}{11}=\frac{(4\times 11)-\left ( 2\times 7 \right )}{\left ( 7\times 11 \right )}=\frac{44-14}{77}=\frac{30}{77}

How to find Square Of any number in Vedic Maths

How to find duplex in Vedic maths

1. The duplex of a single-digit is the square of that digit. Duplex of 5 is square of 5 i.e 25
2. The duplex of a two-digit number is twice that number. Duplex of 28 is 2 x 2 x 8=32
3. The duplex of a three-digit number is twice of first and the last digit and add with the square of the middle digit.

4.\; Duplex\; of \; 432\; is \; 2\times 4\times 2+3^{2}=16+9=25

Squaring of two figure number

Find the square of 31

square \; of\; 31\; is\; duplex \; of\; 3\; |\; duplex \; of\; 31\; |\; duplex\; of\; 1

square \; of\; 31\; is\; duplex \; of\; 3\; |\; duplex \; of\; 31\; |\; duplex\; of\; 1

=961

Squaring of three figure number

Find the square of number 525

1. \; Duplex\; of\; 5=5^{2}=25

2. \; Duplex\; of\; 52=2\times 5\times 2=20

3. \; Duplex\; of\; 525=2\times 5\times 5+2^{2}=50+4=54

4. \; Duplex\; of\; 25=2\times 2\times 5=20

4. \; Duplex\; of\; 5=5^{2}=25

Now write all the number from the above steps is

\mathbf{25\; |\; 20\; |\; 54\; |\; 20\; |\; 25=275625}

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