VEDIC MATHS

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Vedic Mathematics: An Ancient System of Fast Calculations

Vedic Mathematics is an ancient Indian system of mathematical techniques that provides fast, efficient, and mental calculation methods. It was rediscovered by Swami Bharati Krishna Tirthaji in the early 20th century from ancient Vedic texts.

Key Features of Vedic Mathematics

1. Based on 16 Sutras (Formulas) & 13 Sub-Sutras

   • These sutras (aphorisms) are simple yet powerful techniques that help in addition, subtraction, multiplication, division, algebra, calculus, and geometry.
   • Example: Ekadhikena Purvena ("By one more than the previous one") is used for squaring numbers ending in 5.

2. Fast Mental Calculations

   • Many Vedic methods allow complex calculations to be solved in seconds, reducing dependency on calculators.
   • Example: Multiplication of 98 × 97 can be done mentally in seconds.

3. Universal Applicability

   • Works for basic arithmetic, algebra, trigonometry, and even advanced mathematics.
   • Helps students develop problem-solving abilities and number sense.

Examples of Vedic Math Tricks

1. Fast Multiplication (Urdhva-Tiryagbhyam - "Vertically and Crosswise")

Instead of the traditional long multiplication, Vedic Math simplifies it:

✅ Example: 23 × 12

• Multiply unit digits: (3 × 2) = 6
• Cross multiply and add: (2 × 2) + (3 × 1) = 7
• Multiply tens digits: (2 × 1) = 2
  ✅ Answer: 276

2. Squaring Numbers Ending in 5 (Ekadhikena Purvena)

For numbers ending in 5, use this trick:

✅ Example: 25²

• Take the first digit (2), multiply by its next number (2+1 = 3) → 2 × 3 = 6
• Square the last digit (5² = 25)
  ✅ Answer: 625

3. Finding Square Roots Quickly

Using Sutra "Yavadunam", large squares can be found using base numbers.

✅ Example: (106)²

• Take base 100, difference 6
• Step 1: 106 + 6 = 112
• Step 2: Square the difference 6² = 36
  ✅ Answer: 11236

Benefits of Vedic Mathematics

✔ Boosts Speed & Accuracy – Reduces calculation time significantly.
✔ Enhances Logical Thinking – Encourages a creative and intuitive approach to math.
✔ Easy to Learn – Simple, pattern-based techniques make math enjoyable.
✔ Widely Used in Competitive Exams – Helps in fast problem-solving for exams like SAT, GMAT, CAT, GRE, and JEE.

Final Thoughts

Vedic Mathematics is a powerful and elegant system that simplifies calculations and makes mathematics more approachable. Its techniques are especially beneficial for students, engineers, data scientists, and anyone needing quick mental calculations.

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