Скачать или смотреть Number Systems | Class 9 - NCERT | Maths | Chapter 1 | The Hidden Pattern in Repeating Decimals 1/17

When we convert a fraction into a decimal, we know it will either terminate (like 1/8 = 0.125) or repeat in a pattern forever (like 1/3 = 0.333...). But have you ever wondered if there's a rule that governs the length of that repeating pattern? This video dives deep into that very question using the example of 1/17.

We will explore a fundamental theorem in number theory that allows us to predict the maximum possible length of the repeating block of digits for any fraction 1/p, where p is a prime number. You'll learn that the maximum number of digits is simply p - 1. For our case of 1/17, this means the repeating block can have at most 16 digits!

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