Quick Wins for Mathletes: Recurring Decimals, Fast Squares & More


Math Matter

Your weekly roundup of fun, fast, and fascinating Vedic Math updates

Welcome to this week’s issue of Math Matters: Quick Wins for Mathletes. In this edition, we bring you concise, competition-ready tips that will help you solve problems faster—whether it's decoding recurring decimals, pinpointing final digits in large squares, or gearing up for the upcoming Level III Assessment. Get ready to sharpen your Vedic Math skills and boost your speed for the next contest!

Here’s what’s new on the MATH-Inic blog:

🔁 Recurring Decimals, Part III: What Are the Last Four Digits?

We’ve been exploring the decimal form of

3/29

over the past few issues—and each time, Vedic Math reveals something new and useful.

Here’s what we’ve discovered so far:

  • Since 29 ends in 9, we can apply the Sutra “By One More than the One Before” to find the Ekadhika of the divisor (which is 3) and use it to help generate the recurring decimal.
  • Subtracting the numerator from the denominator gives us the digits halfway through the cycle.
  • And when you pair digits from the first and second halves of the cycle, each pair adds up to 9.

With all this in mind, here’s something new to try:

Can you figure out the last four digits of the recurring decimal for 3 ÷ 29—without listing all 28 digits?

It’s possible, and it’s surprisingly easy—if you know how to use the Ekadhika as a multiplier instead of a divisor. This small shift leads to a big insight.

👉 Learn how it works here: Recurring Decimals, Part III

📘 Dive deeper into patterns like these in Chapter 18 (pages 113–123) of Inspirational Maths from India.

📩 Interested in getting a copy? Message us on Facebook at MATH-Inic Philippines – Math Made Fun, Fast, and Easy.


🧠 Olympiad Shortcut: Final Digits in 3 Seconds or Less

What are the final three digits of the answer to 9999997^2?
a) 009
b) 049
c) 014
d) 019
e) 409

This question appeared in the Intermediate category of the International Vedic Mathematics Olympiad 2022. Solving it by traditional multiplication would take time—but with Vedic Math, there's a faster way.

Using the sub-Sutra:
“Whatever the Deficiency, Lessen by that Amount and Set-Up the Square of the Deficiency,”
we can get the answer in 3 seconds or less.

Here’s the shortcut:

  • 9999997 is 3 less than 10^7, so the deficiency is 3.
  • We focus only on the last three digits, so we apply the second part of the Sutra: Set up the square of the deficiency:
    • 3^2 = 9
    • Expressed as three digits: 009

Correct answer: a) 009

👉 Learn the shortcut

📘 For more tricks like this, check out 25 Math Short Cuts, Chapter 20: Squaring Numbers Near a Power of 10

📩 To order a copy, message us on Facebook at MATH-Inic Philippines – Math Made Fun, Fast, and Easy.


📣 Level III Assessment Now Set for June 7, 2025

Planning to take the IAVM Level III Assessment? Good news—another assessment date has been added!

While the original date of April 26, 2025 will push through as scheduled, the Institute for the Advancement of Vedic Mathematics (IAVM) has also scheduled a second assessment on June 7, 2025 to accommodate more participants.

📝 Important Updates:

  • Level II is no longer required to take the Level III exam.
  • The total time is 75 minutes (not 60 as previously announced).
  • The exam consists of:
    • Section A: 30 multiple-choice questions (online)
    • Section B: 10 written-answer questions (answers must be scanned and emailed after the exam)
    • Section C (for the Teaching Diploma only): A 5-minute teaching video on a Vedic Math technique
  • Passing mark: 80%
  • Fees:
    • $15 for the Diploma in Vedic Mathematics
    • $20 for the Teaching Diploma

🔗 Pre-register here:https://bit.ly/Level_III_Pre-Reg

👉 View the full announcement here:
Another Level III Assessment on June 7, 2025 – Full Details


🧠 MATH-Inic Support for Examinees

To support all pre-registrants, MATH-Inic Philippines is offering:

  1. Free enrollment in the VM Basics Course (covers most topics in the assessment)
  2. A special video lesson featuring James Glover’s solutions to previous Level III questions
  3. Free webinars to help you prepare and review

👩‍🏫 Become a Certified MATH-Inic Educator (CME)
If you’ve passed Level III, join our CME program and help teach MATH-Inic modules while earning on the side.

📩 Interested? Send a message to Ike Prudente on Facebook Messenger.


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