Skip to content LEARN VEDIC MATHEMATICS
The 16 Sutras (Formulae) & 13 Upasutras (Sub-Formulae)
The 16 Sutras:
- Ekādhikena Pūrveṇa
- Nikhilaṃ Navataścaramaṃ Daśataḥ
- Ūrdhva Tiryagbhyāṃ
- Parāvartya Yojayet
- Śūnyaṃ Sāmyasamuccaye
- (Ānurūpye) Śūnyamanyat
- Saṅkalana Vyavakalanābhyāṃ
- Pūraṇāpūraṇābhyāṃ
- Calana Kalanābhyāṃ
- Yāvadūnaṃ
- Vyaṣṭisamaṣṭiḥ
- Śeṣāṇyaṅkena Carameṇa
- Sopāntyadvayamantyaṃ
- Ekanyūnena Pūrveṇa
- Guṇitasamuccayaḥ
- Guṇakasamuccayaḥ
The 13 Upasutras:
- Ānurūpyeṇa
- Śiṣyate Śeṣasaṃjñaḥ
- Ādyamādyenāntyāmantyena
- Kevalaiḥ Saptakaṃ Guṇyāt
- Veṣṭanaṃ
- Yāvadūnaṃ Tāvadūnaṃ
- Yāvadūnaṃ Tāvadūnīkṛtya Vargaṃca Yojayet
- Antyayordvayoreva
- Antyayoreva
- Samuccayaguṇitaḥ
- Lopanasthāpanābhyāṃ
- Vilokanaṃ
- Guṇitasamuccayaḥ Samuccayaguṇitaḥ
Detailed explanations for each Sutra and Upasutra will be added.
Vedic Addition (Columnar with Carry)
Key Sutras/Concepts: Saṅkalana Vyavakalanābhyāṃ, Pūraṇāpūraṇābhyāṃ, Left-to-Right
Vedic addition often emphasizes mental calculation. The columnar method shown here is similar to conventional addition but focuses on clear carry management.
Interactive Addition Tool:
Enter numbers to see Vedic addition steps.
Vedic Subtraction (Complements / Left-to-Right)
Key Sutras: Nikhilaṃ Navataścaramaṃ Daśataḥ, Ekanyūnena Pūrveṇa
Subtraction can be performed left-to-right, digit by digit. If a digit in the subtrahend is larger than the corresponding digit in the minuend, a "borrow" is made from the left and the complement (from 10) of the difference is taken.
Interactive Subtraction Tool:
Enter numbers to see Vedic subtraction steps.
Nikhilam Multiplication (Nikhilaṃ Navataścaramaṃ Daśataḥ)
Principle: "All from 9 and the Last from 10"
This Sutra is for multiplying numbers near a power of 10 (base).
Interactive Calculator:
Enter numbers and base.
Ūrdhva Tiryagbhyāṃ (Vertically and Crosswise Multiplication)
Principle: "Vertically and Crosswise"
A general method for all multiplications.
Interactive Calculator:
Enter two numbers.
Special Multiplications
Sutras: Ekādhikena Pūrveṇa, Ekanyūnena Pūrveṇa, etc.
Vedic Maths has elegant shortcuts for specific multiplication cases.
1. Squaring Numbers Ending in 5 (Ekādhikena Pūrveṇa)
Enter a number ending in 5.
2. Multiplication by Series of 9s (Ekanyūnena Pūrveṇa & Nikhilam)
Enter number and multiplier (9, 99, etc.).
Nikhilam Division
Sutra: Nikhilaṃ Navataścaramaṃ Daśataḥ
Used when the divisor is slightly less than a power of 10 (base).
Interactive Nikhilam Division Tool:
Enter dividend and divisor.
Straight Division (General Method)
Sutra: (Implicitly) Ūrdhva Tiryagbhyāṃ variant, Dhvajānka
This is a general division method, often called "Flag-Pole method" or Dhvajānka.
Interactive Straight Division Tool:
Enter dividend and divisor.
Parāvartya Yojayet Division (Transpose and Apply)
Sutra: Parāvartya Yojayet
This method is used when the divisor is slightly greater than a power of 10.
Interactive Parāvartya Division Tool:
Interactive Paravartya Division tool is under development.
Squaring Numbers
Methods: Yāvadūnaṃ, Ekādhikena Pūrveṇa, Dvanda Yoga (Duplex)
1. Yāvadūnaṃ Squaring (Numbers near a base)
Enter number and base.
2. Dvanda Yoga (Duplex Method - General Squaring)
The Duplex D(n) is: D(a)=a²; D(ab)=2ab; D(abc)=2ac+b²; etc. The square is obtained by summing Duplex values of digit groups.
Enter number for Duplex squaring.
Finding Square Roots
Methods: Vilokanaṃ (Observation for perfect squares), General Method
For perfect squares, Vilokanam helps determine the root. A general method exists for all numbers.
Interactive Square Root Tool (Perfect Squares by Observation):
Enter a perfect square.
Finding Cubes
Methods: Yāvadūnaṃ, Ānurūpyeṇa
Interactive Cubing Tool (Yavadunam):
Yavadunam Cubing tool is under active development.
Finding Cube Roots (Perfect Cubes by Observation)
Sutra: Vilokanaṃ (Observation)
For perfect cubes, the cube root is found quickly by observing the last digit and grouping.
Interactive Cube Root Tool (Perfect Cubes):
Enter a perfect cube.
Vedic Check System (Digital Root / Beejank)
Principle: Casting out Nines
The digital root (Beejank) of a number is the single digit sum obtained by repeatedly adding its digits. It's used to verify arithmetic operations.
Interactive Vedic Check Tool:
For division check: Num1=Dividend, Num2=Divisor, Num3=Claimed Remainder, Claimed Result=Claimed Quotient.
More Vedic Techniques & Applications
Divisibility Rules (Osculators)
Vedic Maths provides unique methods using "osculators" to check divisibility by primes like 7, 13, 17, 19, etc.
Select number and divisor.
Other Concepts (Explanatory):
- Number Splitting (Vyashti Saman)
- Vinculum Numbers
- Geometrical Proofs (Theorems)
- Trigonometry & Calculus Applications
- Mental Reasoning Exercises and Puzzles
About Our TOOL
Okay, let’s get real. Math. Sometimes it just makes your mind spin, right? All those procedures and long calculations… uff! What if I told you there’s this archaic style of performing maths from India – Vedic Mathematics – and it’s like magic?Makes numbers your friends, not your enemies. Fast. Super fast. You listening?
Vedic Maths? Never Heard of It! What’s the Scoop?
Ancient Indian Brains Were BIG Brains!
Look, this isn’t some app from last week. This Vedic stuff? It’s been around for ages. Thousands of years! It’s a bunch of super-smart tricks, these “Sutras.” Little rules, but man, are they powerful! They let you do math in your head, almost. Big problems? Pfft. Small time. You’ll see.
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So, you can read a book, sure. Lots of books on Vedic Maths. But does it stick? Not always, eh? You gotta see it, do it. That’s the only way. And that’s exactly, precisely, why we built this “Learn Vedic Mathematics” tool. It’s not just a website, it’s like… like that one really cool teacher you had, who actually made things make sense.
No More Just Staring at Formulas, Promise!
We ain’t just gonna list a bunch of Sutras and say “Good luck!” Where’s the fun in that? We’ve got ‘em all, the main ones, the little “Upasutras” too (those are like secret-weapon mini-tricks!). But here’s the real deal: For all the famous moves – that “Nikhilam” trick for multiplying numbers near 100, or “Urdhva Tiryag” that tackles any multiplication, or even that super-simple “Digital Root” check to see if you messed up somewhere…
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You put your numbers in. You hit the button. And poof! The tool doesn’t just spit out an answer. It actually shows you the Vedic way. Step by step by step. Like it’s drawing it on a board for you. And that, my friend, is when you go “Aha! That’s how they do it!” It just… makes sense. Finally!
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Hey, even if you’re done with exams and all that jazz. Keeping the ol’ brain active? That’s always good. And this Vedic stuff? It’s fascinating. Seeing how these ancient tricks are still so powerful today? It’s just… cool. Really cool.
So, look. Stop wondering. Just jump in. Play with it. Try the calculators. See the Sutras come alive. With this tool, Vedic Mathematics isn’t some far-off, complicated thing. It’s right here. Easy to get.
FAQ’s:
Vedic Mathematics… what is that? Sounds complicated.
No, not really. Vedic maths means Old Indian math.it contains that all the Super fast tricks. “Sutras,” they call them. Simple rules. Big sums? Easy. That’s it.
Your tool… how’s it help me learn?
It shows you. Step-by-step. You put numbers in for, say, multiplying. Tool breaks it down. Vedic way. Right on your screen. Like a live demo, you know?
Only for math geniuses, this tool?
Nope. Everyone. Students, teachers, exam folks, anyone curious. Want to be faster at math? This is for you. Simple.
Do I need to be, like, a math expert before I use it?
Nah. Basic stuff is fine. Plus, minus. Vedic Maths, it often makes things easier. Tool explains steps. You can follow. Learn. Easy.
Does it have every single Vedic trick? All of them?
Look, it’s got a LOT. The main ones. The useful ones. Adding, subtracting, multiplying, dividing, squaring… checking answers. Those are interactive. Full steps. More always coming, but what’s there? Plenty.
