Complete Vedic Maths

What is 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.

Ekadhikina Purvena

All from 9 and the last from 10

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

Nikhilam Navatashcaramam Dashatah

Vertically and crosswise

use to do multiplication of two large Numbers.

Urdhva-Tiryagbyham

Transpose and adjust

Where divisor is greater than 10.

Paraavartya Yojayet

When the sum is the same that sum is zero

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).

Anurupyena- Sunyamanyat

By addition and by subtraction

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

Sankalana-Vyavakalanabhyam

By the completion or Non-completion

Used to simplify or solve the algebra problems.

Puranapuranabyham

Differences and Similarities

Chalana-Kalanabyham

Whatever the extent of its deficiency

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

Yaavadunam

Part and Whole

Help in the factorisation of the quadratic equation of types.

Vyashtisamanstih

The remainders by the last digit

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

Shesanyankena Charamena

The ultimate and twice the penultimate

Sopaantyadvayamantyam

By one less than the previous one

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

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.

Gunitasamuchyah

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

Gunakasamuchyah

List of All 16 Sutras with their Meanings.

Sutras Name

Meaning

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.

Urdhva-Tiryagbyham

Vertically and crosswise

use to do multiplication of two large Numbers.

Paraavartya Yojayet

Transpose and adjust

Where divisor is greater than 10.

Shunyam Saamyasamuccaye

When the sum is the same that sum is zero

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).

Sankalana-Vyavakalanabhyam

By addition and by subtraction

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

Puranapuranabyham

By the completion or Non-completion

Used to simplify or solve the algebra problems.

Chalana-Kalanabyham

Differences and Similarities

Yaavadunam

Whatever the extent of its deficiency

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

Vyashtisamanstih

Part and Whole

Help in the factorisation of the quadratic equation of types.

Shesanyankena Charamena

The remainders by the last digit

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

Sopaantyadvayamantyam

The ultimate and twice the penultimate

Ekanyunena Purvena

By one less than the previous one

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

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.

Gunakasamuchyah

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

List of All 13 Sub Sutras with their Meanings.

Sub-Sutras

Meaning

Sisyate Sesasamjnah

Remainder remains constant

Adyamdyenantya-mantye-na

First by first and last by last

Kevalaih Saptakam Gunyat

For 7 the Multiplicand is 143

For 7 the Multiplicand is 143.

Vestanam

By Osculation

By Osculation.

Yavadunam Tavadunam

Lessen by the Deficiency

Lessen by the Deficiency.

Yavadunam Tavadunam Varganca Yojayet

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

Antyayordasake

Last Totalling 10

Antyayoreva

Only the Last Terms

Only the Last Terms.

Samuccayagunitah

The Sum of the coefficients in the product

The Sum of the coefficients in the product.

Lopanasthapanabhyam

By Alternate Elimination and Retention

Vilokanam

By Mere Observation

By Mere Observation.

Gunitasmuccayah Samuccayagunitah

The Product of the Sum is the Sum of the Products

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

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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Complete Vedic Maths

What is Vedic Maths?

Why one should know Vedic Maths?

List of All 16 Sutras with their Meanings.

List of All 16 Sutras with their Meanings.

List of All 13 Sub Sutras with their Meanings.

Learn Few fast Calculation tricks.

1. Squaring a number ending with 5.

2.Multiply any number by 5.

3. Multiply any Number by 10 or its raised to power.

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

5. Multiply any 2 digit Number by 11.

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