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Question 8 - Figure it out - Page 72, 73 - Chapter 3 Class 6 - Number Play (Ganita Prakash)
Last updated at June 18, 2025 by Teachoo
Class 6 (Ganit Prakash)
Chapter 3 Class 6 - Number Play (Ganita Prakash)
- Numbers can Tell us Things, Supercells,
- Supercells
- Supercells in a grid (Page 58)
- Patterns of Numbers on the Number Line, Playing with Digits
- Playing with Digits
- Pretty Palindromic Patterns
- The Magic Number of Kaprekar
- Clock and Calendar Numbers
- Figure it out - Page 64, 65
- Mental Math
- Playing with Number Patterns, and Collatz Conjecture!
- Simple Estimation
- Estimate the answer - Page 70, 71
- Games and Winning Strategies
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Figure it out - Page 72, 73
Transcript
Question 8 Recall the sequence of Powers of 2 from Chapter 1, Table 1. Why is the Collatz conjecture correct for all the starting numbers in this sequence?Powers of 2 sequence is 2, 4, 8, 16, 32, 64,… Let’s check out Conjecture for starting numbers from this sequence The Rules of the Conjecture The process, as laid out in the text, is as follows: Start with any whole number. If the number is even, you divide it by 2. If the number is odd, you multiply it by 3 and add 1. You then take the result and repeat the process. If we start with 32 32 → 16 → 8 → 4 → 2 → 1 Similarly, If we start with 512 512 → 256 → 128 → 64 → 2 32 → 16 → 8 → 4 → 2 → 1
