![Ex 1.4, 1 - Chapter 1 Class 10 Real Numbers - Part 10](https://d1avenlh0i1xmr.cloudfront.net/4f2032da-8016-4532-826b-25c1fdabe637slide10.jpg)
Decimal Expansion
Last updated at April 16, 2024 by Teachoo
Ex 1.4 , 1 Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: (v) 29/343 𝑝/𝑞 is terminating if (i) p & q are co-prime and (ii) q is of the form 2n 5m where n & m are non-negative integers Checking co-prime 29 & 343 have no common factors, So, 29 & 343 are co-prime For Denominator (343) Denominator = 7 × 7 × 7 So , denominator is not of the form 2n 5m Thus, 29/343 has a non-terminating repeating decimal expansion