Vedic Maths is a book written by the Indian monk Jagadguru Shankaracharya Swami Bharati Krishna Tirthaji Maharaj.
The book was first published in 1965. This book is very popular among maths teachers and students who prepare for competitive exams.
According to this book, Vedic Maths is a collection of 16 sutras and 14 sub sutras. These sutras were written in Sanskrit (mother of all languages).
Now you must be thinking, what is the meaning of sutra. A sutra is a name of a technique for solving a particular type of sum.
The reason why people want to learn Vedic Maths is that it is faster than regular math calculation systems.
Students who prepare for entrance exams are more likely to join Vedic Maths to use its tricks to crack the exam as it provides speed and accuracy in maths calculations.
Topics covered under Vedic Maths are addition, subtraction, multiplication, division, square, cube square root, cube root, algebra, etc.
Vedic Maths is also known as conditional maths, once you satisfy a condition and then you can apply a sutra in order to find the answer.
Once you learn all the sutras, all you need to do is to identify which sutras need to be applied and within a few seconds you can find out the perfect answer. You can see 16 sutras and 14 sub sutras in the table below.
Sixteen (16) Sutras of Vedic Maths
S No | Sutra | Translation |
1 | एकाधिकेन पूर्वेण Ekadhikina Purvena | By one more than the previous one |
2 | निखिलं नवतः चरमं दशतः Nikhilam Navatashcaramam Dashatah | All from 9 and the last from 10 |
3 | ऊर्ध्व-तिर्यग्भ्याम् Urdhva-Tiryagbyham | Vertically and crosswise |
4 | परावर्त्य योजयेत् Paraavartya Yojayet | Transpose and adjust |
5 | शून्यं साम्यसमुच्चये Shunyam Saamyasamuchaye | When the sum is the same, that sum is zero |
6 | (आनुरूप्ये) शून्यंमन्यत् Anurupye Shunyamanyat | If One is in Ratio the Other is Zero |
7 | संकलन व्यवकलनाभ्याम् Sankalana vyavakalanabhyam | By Addition and by Subtraction |
8 | पूरणापूरणाभ्याम् Puranapuranabyham | By the Completion or Non-Completion |
9 | चलनकलनाभ्याम् Chalana Kalanabyham | Differences and Similarities |
10 | यावदूनम Yaavadunam | Whatever the extent of its deficiency |
11 | व्यष्टिसमष्टिः Vyashtisamanstih | Part and Whole |
12 | शेषाण्यङ्केन चरमेण Shesanyankena Charamena | The remainders by the last digit |
13 | सोपान्त्यद्वयमन्त्यम् Sopaantyadvayamantyam | The ultimate amadharnd twice the penultimate |
14 | एकन्युनेन पूर्वेण Ekanyunena Purvena | By one less than the previous one |
15 | गुणितसमुच्चयः Gunitasamucpornhyah | The product of the sum is equal to the sum of the product |
16 | गुणक समुच्चयः Gunakasamuchyah | The factors of the sum is equal to the sum of the factors |
Fourteen (14) Sub Sutras of Vedic Maths
S No | Sutra | Translation |
1 | आनुरुप्येण Anurupyena | Proportionately |
2 | शिष्यते शेषसंज्ञः Sisyate Sesasamjnah | The Remainder Remains Constant |
3 | आद्यं आद्येन् अन्त्यम् अन्त्येन Adyamadyenantyamantyena | The First by the First and the Last by the Last |
4 | केवलैः सप्तकं गुण्यात् Kevalaih Saptakam Gunyat | For 7 the Multiplicand is 143 |
5 | वेष्टनम् Vestanam | By Osculation |
6 | यावदूनं तावदूनम् Yavadunam Tavadunam | Lessen by the Deficiency |
7 | यावदूनं तावदूनीकृत्य वर्गं च योजयेत् Yavadunam Tavadunikritya Varga Yojayet | Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency |
8 | अन्त्ययोर्दशकेऽपी Antyayordashake’pi | Last Totalling 10 |
9 | अन्त्ययोरेव Antyayoreva | Only the Last Terms |
10 | समुच्चयगुणितः Samuccayagunitah | The Sum of the Products |
11 | लोपनस्थापनाभ्याम् Lopanasthapanabhyam | By Alternate Elimination and Retention |
12 | विलोकनम् Vilokanam | By Mere Observation |
13 | गुणितसमुच्चयः समुच्चयगुणितः Gunitasamuccayah Samuccayagunitah | The Product of the Sum is the Sum of the Products |
14 | ध्वजांक Dhvajanka | On the Flag |
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Some Advantages/Benefits of Learning Vedic Maths
- Remove the fear of maths
- Make mathematics a fun activity
- Develops interest in maths
- Helps in preparing for competitive exams
- Enhances mental maths skills
- Saves time in maths exams
- Provides accuracy in calculations
- Makes you a human calculator
- and most importantly, it is an Indian way of doing mathematics
In the recent few years, Vedic maths has gained tremendous popularity across the globe.
Do not take Vedic maths only shortcut tricks for solving calculations but it is a science of formulas. This Indian ancient maths system has become a hot topic in one of the eminent universities in the world.
A lot of research work is being done on Vedic Maths to take this subject to the next level. A picture given below shows the difference between Vedic Maths and regular maths.
There are not only good things about Vedic Maths but it has also been criticized for its limitations. There is also the other side of the coin.
According to some maths lovers and enthusiasts, Vedic Maths is a conditional maths and is good for students just as an activity because it is not applicable in the whole maths system and people are selling Vedic Maths courses at a very fee in the name of Vedas.
In my opinion, both sides have the right to express their views on this popular and emerging subject.
I will not advise but only suggest to learners at least a few tricks can be a game-changer in your maths exams. Calculations demand a lot of time which can be handled through Vedic maths techniques.
Learning a few tricks is no harm in this competitive world when it comes to crack competitive exams, maths quizzes, math olympiads, etc.
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