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What is Vedic Maths?

Complete Vedic Maths

The Vedas are viewed as the soonest artistic record of Hindus. There are four Vedas named Rigveda, Yajurveda, Samaveda, and Atharvaveda. One among the four vedas the “Artharveda” deals and manages the parts and branches of Mathematics and Science like Engineering, model, Medicine, and all other which we know about today.

Vedic maths which is a super-quick ascertaining technique or you can say super fast calculating method over the world is gotten or derived from these Vedas. It is an antiquated arrangement of estimation (an ancient system of calculation) that was rediscovered from the Vedas particularly from Artharva Veda between 1911 and 1918 by Shri Bharti Krishna Tirtha Ji (1884-1960). In the event that we state it in a more clear manner, at that point Vedic maths has begun from “Atharva Vedas” the fourth Veda among the four Vedas about which we talked before.

In Vedic maths, methods of taking care of maths issues and quick estimation are portrayed in an exceptionally basic and simple manner. Fundamental numerical tasks like Addition, Subtraction, Multiplication, and Division become so natural and truly speedy with these methods.

Why one should know Vedic Maths?

By learning only 16 sutras and 13 sub sutras, one can do any kind of mathematical calculations 10-20 times faster than an average person. It is a magical tool that reduces your pen-paper or finger calculation to zero and increases your Intelligence and Guessing. It increases your concentration power and reduces your silly mistakes. It brings speed & accuracy and saves your precious time during competitive exams. 

List of All 16 Sutras with their Meanings.

Meaning 

Read More about its usage 

Sutras Name 

 

By one more than the one before 

 

Squaring of a number ending with 5.

Read More….. 

Ekadhikina Purvena 

 

All from 9 and the last from 10 

 

Multiplication of numbers, which are near to base like 10, 100, 1000, 10000 etc.

Read More….. 

Nikhilam Navatashcaramam Dashatah 

 Vertically and crosswise 

use to do multiplication of two large Numbers.

Read More….. 

Urdhva-Tiryagbyham 

 

Transpose and adjust 

Where divisor is greater than 10.

Read More….. 

Paraavartya Yojayet 

 

When the sum is the same that sum is zero 

 

Read More….. 

Shunyam Saamyasamuccaye 

 

If one is in ratio, the other is    zero 

 

 

To find out the product of two number when both      are near the common base like 30, 30, etc. (multiples of powers of 10).

Read More….. 

Anurupyena- Sunyamanyat 

 

By addition and by subtraction 

 

 

Used to solve simultaneous simple equations which   have the co-efficient of the variables interchanged.

Read More….. 

Sankalana-Vyavakalanabhyam 

By the completion or Non-completion 

 

Used to simplify or solve the algebra problems.

Read More….. 

Puranapuranabyham 

 

Differences and Similarities 

 

Read More….. 

Chalana-Kalanabyham 

 

Whatever the extent of its deficiency 

 

Applicable to obtain sq. of a number close to bases of powers of 10.

Read More….. 

Yaavadunam 

 

Part and Whole 

 

Help in the factorisation of the quadratic equation of types.

Read More….. 

Vyashtisamanstih 

 

 

The remainders by the last digit 

 

 

To express a fraction as a decimal to all its decimal    places.

Read More….. 

Shesanyankena Charamena 

 

The ultimate and twice the penultimate 

 

Read More….. 

Sopaantyadvayamantyam 

 

By one less than the previous one 

 

This sutra is used in case of multiplication by 9, 99……

Read More….. 

Ekanyunena Purvena 

 

The product of the sum is equal to the sum 

of the product 

 

Used to verify the correctness of obtained answers in multiplications, divisions and factorizations.

Read More….. 

Gunitasamuchyah 

 

The factors of the sum are equal to the sum of the factors 

 

Read More….. 

Gunakasamuchyah 

 

List of All 16 Sutras with their Meanings.

Sutras Name 

Meaning 

Read More about its usage 

Ekadhikina Purvena 

 

By one more than the one before 

 

Squaring of a number ending with 5.

Read More….. 

Nikhilam Navatashcaramam Dashatah 

 

All from 9 and the last from 10 

 

Multiplication of numbers, which are near to base like 10, 100, 1000, 10000 etc.

Read More….. 

Urdhva-Tiryagbyham 

 Vertically and crosswise 

use to do multiplication of two large Numbers.

Read More….. 

Paraavartya Yojayet 

 

Transpose and adjust 

Where divisor is greater than 10.

Read More….. 

Shunyam Saamyasamuccaye 

 

When the sum is the same that sum is zero 

 

Read More….. 

Anurupyena- Sunyamanyat 

 

If one is in ratio, the other is    zero 

 

 

To find out the product of two number when both      are near the common base like 30, 30, etc. (multiples of powers of 10).

Read More….. 

Sankalana-Vyavakalanabhyam 

 

By addition and by subtraction 

 

 

Used to solve simultaneous simple equations which   have the co-efficient of the variables interchanged.

Read More….. 

Puranapuranabyham 

By the completion or Non-completion 

 

Used to simplify or solve the algebra problems.

Read More….. 

Chalana-Kalanabyham 

 

Differences and Similarities 

 

Read More….. 

Yaavadunam 

 

Whatever the extent of its deficiency 

 

Applicable to obtain sq. of a number close to bases of powers of 10.

Read More….. 

Vyashtisamanstih 

 

Part and Whole 

 

Help in the factorisation of the quadratic equation of types.

Read More….. 

Shesanyankena Charamena 

 

 

The remainders by the last digit 

 

 

To express a fraction as a decimal to all its decimal    places.

Read More….. 

Sopaantyadvayamantyam 

 

The ultimate and twice the penultimate 

 

Read More….. 

Ekanyunena Purvena 

 

By one less than the previous one 

 

This sutra is used in case of multiplication by 9, 99……

Read More….. 

Gunitasamuchyah 

 

The product of the sum is equal to the sum 

of the product 

 

Used to verify the correctness of obtained answers in multiplications, divisions and factorizations.

Read More….. 

Gunakasamuchyah 

 

The factors of the sum are equal to the sum of the factors 

 

Read More….. 

Complete Vedic Maths

List of All 13 Sub Sutras with their Meanings.

Sub-Sutras  

Meaning 

Read More about its Usage 

Anurupyena 

 

Proportionately 

 

Proportionately

Read More….. 

Sisyate Sesasamjnah 

 

Remainder remains constant 

 

Remainder remains constant

Read More….. 

Adyamdyenantya-mantye-na 

 

First by first and last by last 

 

First by first and last by last

Read More….. 

Kevalaih Saptakam Gunyat 

 

For 7 the Multiplicand is 143 

 

 

For 7 the Multiplicand is 143.

Read More….. 

Vestanam 

 

By Osculation 

 

By Osculation.

Read More….. 

Yavadunam Tavadunam 

 

Lessen by the Deficiency 

 

Lessen by the Deficiency.

Read More….. 

Yavadunam Tavadunam Varganca Yojayet 

 

Whatever the Deficiency lessen by that amount and   set up the Square of the Deficiency 

 

Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency

Read More….. 

Antyayordasake 

 

Last Totalling 10 

 

Last Totalling 10

Read More….. 

Antyayoreva 

 

Only the Last Terms 

 

Only the Last Terms.

Read More….. 

Samuccayagunitah 

 

The Sum of the coefficients in the product 

 

The Sum of the coefficients in the product.

Read More….. 

Lopanasthapanabhyam 

 

By Alternate Elimination and Retention 

 

By Alternate Elimination and Retention

Read More….. 

Vilokanam 

 

By Mere Observation 

 

By Mere Observation.

Read More….. 

Gunitasmuccayah Samuccayagunitah 

 

The Product of the Sum is the Sum of the Products 

 

The Product of the Sum is the Sum of the Products.

Read More….. 

Learn Few fast Calculation tricks.

1. Squaring a number ending with 5.
To find the square of a number ending with 5, You just need to leave the 5 and multiply the rest of the number with its successive number and add 25 at the end of the result.

 

For example 

If you want to find the square of 35 ( you can take any number ending with 5), then follow the following 3 simple steps.

step 1 : from 35 remove 5 and take only 3 

step 2 : multiple 3 with its successor i.e 4 , you will get 3*4=12 as result

step 3 : add 25 at the end of the result you got from step 2 i.e 1225.

Isn’t it simple ? Let’s take one more example: Square of 485 ?

1. remove 5

2. 48*49=2352

3. Add 25 at the end of the result you got from step 2, so square of 485 will be 235225.

2.Multiply any number by 5.
If you have to multiply any number by 5 then just add a zero (0) at its end and half the number.

For example:

Question: Multiple 7325 by 5.

Solution: Add 0 at the end of 7325 it will  become 73250 now divide it by 2 or you can say just half it.

73250/2=36625.

3. Multiply any Number by 10 or its raised to power.
To multiply any number by 10 or its raised to power, You just have to count number of zeros present there and add that zeroes at the end of the digit.

 For example:

Question: Multiply 536978 by 10.

Solution: Add one zero at the end of the number as there is one zero in 10, so the answer will be 5369780.

Question: Multiply 987456321 by 10000?

Solution: Add 4 zeroes at the end of the digit 9874563210000.

4. To find the complement of a number (i.e the difference from the next highest power of 10).

If you want to find the complement of a number or its difference from the next highest power of 10 then instead of using traditional method of subtraction use this.

Subtract all except the unit digit of the number by 9 and subtract unit digit by 10.

For example: 

Question: Find Complement of 789654.

9-7=2, 9-8=1, 9-9=0, 9-6=3, 9-5=4, 10-4=6.

Hence the result is 210346.

5. Multiply any 2 digit Number by 11.
If you want to multiply any 2 digit number by 11 then just write the tens place digit at the left end and ones place digit at the right end and in the middle of these 2 digits write the sum of these two digits.

 For example:
To calculate 63*11 , write 6 at the left end 3 at right end and sum of 6 & 3 i.e equals to 9 in the middle.
63*11= 693.

Note : If the sum of these two digit exceed to 9 then just carry its tense place digit to the left number and add both of them.

for example: 99*11= 9 ‘9+9′ 9= 9 ’18’ 9 = 9+1 ‘8’ 9 = 1089.

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