Vedic Mathematics- Squaring a Number

🌀 Vedic Maths • Squaring Wheel

FUN WITH MATHEMATICS
squaring numbers

Yavadunam Ekadhikena Purvena Dwanda Yoga

About This Lesson: Master Vedic Maths Squaring Techniques

Vedic Mathematics is an ancient Indian system of mental calculation that enables lightning-fast arithmetic. This comprehensive interactive tutorial focuses on three powerful sutras (formulas) for squaring numbers:

🔹 Yavadunam Tavadunikrtya Varganca Yojayet – "Whatever the deficiency, subtract that deficit and write alongside the square of the deficiency." Perfect for squaring numbers close to a base (10, 100, 1000).

🔹 Ekadhikena Purvena – "By one more than the previous one." Specially designed for numbers ending with digit 5 (e.g., 35², 85², 125²).

🔹 Dwanda Yoga (Duplex Combination Process) – A general method to find squares of any number using the duplex of digits.

Explore 21 interactive slides with step-by-step solved examples, visual aids, and practice problems. Ideal for students preparing for competitive exams (SSC, Banking, GMAT, Mental Math Olympiads) and teachers looking for engaging classroom resources.

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Why Learn Vedic Squaring?

Speed & Accuracy

Calculate squares mentally in seconds, reducing errors in exams.

Mental Agility

Strengthens numerical intuition and pattern recognition.

Universal Application

Used in competitive exams, coding, and daily life calculations.

Ancient Wisdom

Based on 16 sutras from Atharvaveda, rediscovered by Swami Bharati Krishna Tirtha.

📖 Frequently Asked Questions

Q: What is the Yavadunam sutra for squaring?
A: Yavadunam means "Whatever the deficiency". For a number close to base, subtract the deficiency from the number (LHS) and square the deficiency (RHS). Example: 96² = (96-4) | (4²) = 92 | 16 = 9216.

Q: How does Ekadhikena Purvena work for numbers ending with 5?
A: Multiply the digit(s) before 5 by its successor, then append 25. e.g., 35² = 3×4 = 12 then 25 → 1225.

Q: What is the duplex method (Dwanda Yoga)?
A: Duplex D(n) is calculated based on digit pairs. For a number like 1221, we compute D(1), D(12), D(122), D(1221), then symmetrically to get the square 1490841.

Q: Can I print these slides for offline study?
A: Yes! Click the "Print / Save as PDF" button and choose "Save as PDF" in your browser's print dialog.

Q: Are these techniques useful for competitive exams?
A: Absolutely. Vedic maths shortcuts save valuable time in exams like JEE, CAT, SAT, Banking, and Olympiads.

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