What Vedic Maths Multiplication Is
Vedic maths multiplication is a collection of mental shortcuts, called sutras, that turn awkward multiplications into easy ones. The system was compiled by the Indian scholar Bharati Krishna Tirthaji in the early twentieth century. There is no tool involved - the skill is spotting which pattern a problem fits and applying the matching shortcut.
The core idea: most numbers sit close to something easy to multiply by - a power of ten, a round number, a single repeated digit. Vedic methods exploit that closeness so you multiply the easy number and adjust, instead of grinding through the standard column algorithm. Let's teach the real methods, with full working.
The Real Methods, With Worked Examples
Multiplying by 11
For a two-digit number times 11, split the digits and put their sum in the middle.
\(35 \times 11\): the digits are 3 and 5, and \(3 + 5 = 8\), so the answer is \(385\).
When the middle sum is 10 or more, carry the extra digit left.
\(48 \times 11\): \(4 + 8 = 12\). Write the 2 in the middle, carry the 1: \(4 + 1 = 5\), giving \(528\).
The Base Method (Nikhilam) - numbers near a power of ten
For numbers close to 100 (or 10, or 1000), work from how far each sits below the base.
\(98 \times 97\), base 100:
\(98\) is \(2\) below 100; \(97\) is \(3\) below 100.
Left part: cross-subtract — \(98 - 3 = 95\) (you get the same with \(97 - 2\)).
Right part: multiply the deficits — \(2 \times 3 = 6\), written as \(06\) to fill two digits.
Answer: \(9506\).
The right part takes as many digits as the base has zeros — two zeros in 100 means two digits, so \(6\) becomes \(06\).
Vertically and Crosswise (Urdhva-Tiryagbhyam) - the general method
This pattern multiplies any two numbers by a fixed sequence of vertical and cross products. For two two-digit numbers \(ab \times cd\):
\(23 \times 14\):
Right (vertical): \(3 \times 4 = 12\). Write 2, carry 1.
Middle (crosswise): \((2 \times 4) + (3 \times 1) = 8 + 3 = 11\), plus the carried 1 is \(12\). Write 2, carry 1.
Left (vertical): \(2 \times 1 = 2\), plus the carried 1 is \(3\).
Answer: \(322\).
This is the most general Vedic multiplication method - it extends to three- and four-digit numbers with the same vertical-and-cross idea, just with more cross terms.
Multiplying by 5
Halve the number, then attach a zero (for an even number).
\(46 \times 5\): \(46 \div 2 = 23\), attach a zero, \(230\). This works because \(\times 5\) is \(\times 10 \div 2\).
What These Methods Are Genuinely Good For
The speed is real. For the numbers they fit, Vedic shortcuts beat the column algorithm comfortably - sources put the gain at several times faster on calculations that match a pattern. A student who has drilled the base method can multiply two numbers near 100 in a few seconds, mentally, with no paper.
The range is wider than the abacus too. Beyond the four operations, Vedic methods extend to squares, cubes, and certain divisions, which is why older students preparing for timed, calculation-heavy exam sections often reach for them. For how this compares with the bead-frame approach, see abacus and vedic maths.
So the honest verdict on the methods themselves: for the right problem, they are fast, elegant, and worth knowing.
Where Vedic Multiplication Hits a Ceiling
Now the limit, stated fairly. Vedic multiplication is a set of pattern-matched shortcuts, and that is both its strength and its edge.
The tricks work for narrow cases and break outside them. Each sutra is tied to a number shape. The 11-trick needs an 11. The base method needs numbers near a power of ten - try it on \(47 \times 63\) and there's no clean base to work from, so the shortcut doesn't apply. On an unfamiliar problem that fits no pattern, the student is back to the general method or the standard algorithm. Fast inside the pattern; blank outside it.
It builds speed, not reasoning. A child can apply the base method perfectly and have no idea why it works. The method delivers \(9506\); it never explains it. That is fine for a contest and a problem for everything after, because higher math rewards knowing why a step is valid far more than computing it quickly.
It doesn't transfer to higher math. This is the one that decides outcomes. Algebra, geometry, and word problems are where a student's trajectory is set, and a library of multiplication shortcuts carries a child into none of them. The speed stays in arithmetic.
None of this makes Vedic maths a bad thing to learn. It isn't designed to teach reasoning - it's a calculation system, and a clever one. The mistake is treating a set of multiplication tricks as a full math education.
How to Go Beyond the Tricks
Going beyond Vedic multiplication does not mean dropping the speed. It means understanding why the shortcut works, because that understanding is the thing that transfers.
Take the base method on \(98 \times 97\) one more time. The trick gives \(9506\). Understanding gives the same answer and its engine:
\(98 \times 97 = (100 - 2)(100 - 3) = 10000 - 300 - 200 + 6 = 9506\).
That expansion is the distributive property - the exact reasoning behind \((x - 2)(x - 3) = x^2 - 5x + 6\) that the same student will meet in algebra. A child who sees the trick as the distributive property hasn't just learned a fast multiplication; they've met the structure that powers a whole grade of later math. The sutra hides that structure. Understanding puts it front and center.
That is the difference between a trick and a tool for thinking. For techniques that build speed from number structure rather than from a memorized pattern, see mental math tricks and speed math tricks.
How Bhanzu Approaches This
Bhanzu does not teach Vedic maths, and the reason is the ceiling above. The aim is mental agility that comes from understanding number structure - speed that transfers across all of math, not speed locked to a set of patterns.
WHY before what. A child meets the reason a method works before the method, so the speed they build extends to algebra and geometry, not just to numbers near 100.
Level 0 diagnostic. Each student starts at their real level, not their grade, so the foundation under the fast calculation is solid.
Reasoning corrected live. A trainer watches the thinking, not only the answer, and fixes the why as it happens.
The result is a child who is fast because they understand - speed that shows up everywhere school math goes.
Conclusion
Vedic maths multiplication is a real, clever set of shortcuts — multiply by 11, the base method for numbers near a power of ten, the general vertical-and-crosswise pattern - and for the problems they fit, they are genuinely fast. Learn them; just see their edge. They work for narrow patterns and break outside them, they build speed without reasoning, and they don't carry a child into higher math. The way forward is to understand why the tricks work - the distributive property hiding inside the base method is the same reasoning that powers algebra - so the speed transfers everywhere school math goes.
To build that understanding-first speed with a live teacher, explore Bhanzu's math classes online, math tutoring, or one-to-one math programs for kids.
Read More
Was this article helpful?
Your feedback helps us write better content