Check sibling questions

Question 1 (i) - Decimal Expansion - Chapter 1 Class 10 Real Numbers

Last updated at May 29, 2023 by

Ex 1.4, 1 - Without actually performing long division, state - Ex 1.4

Ex 1.4, 1 - Chapter 1 Class 10 Real Numbers - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Book a free demo

Transcript

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: 13/3125 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 13 & 3125 have no common factors, So, 13 & 3125 are co-prime For Denominator (3125) Denominator = 55 = 1 × 55 = 20 × 55 So , denominator is of the form 2n 5m where n = 0 , m = 5 Thus , 13/3125 is a terminating decimal Thus, 64/455 has a non-terminating repeating decimal expansion

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.