which of the following rational number have nonterminating expansion a] 31/3125 b] 17/512 c] 23/200 d] 47/150 and why??? Share with your friends Share 1 Manbar Singh answered this We know that a rational number has a terminating decimal expansion, if the prime factorisationof the denominator is of the form of 2m5n, where m and n are non negative integers.a.313125 = 315×5×5×5×5 = 3155×20So, given number has terminating decimal expansionb.17512 = 172×2×2×2×2×2×2×2×2 = 1728×50So, given number has terminating decimal expansionc.23200 = 232×2×2×5×5 = 2323×52So, given number has terminating decimal expansiond.47150 = 472×3×5×5 = 472 × 3 × 52So, given number has non-terminating decimal expansionHence, option d is correct. 4 View Full Answer Yashwanth answered this d) as it's denominator cannot be written in the form 2m * 5n 3 Princess Alisha answered this thanx! 0 Kavya answered this 150 has the factors 3,5,- - -.so it can't b expressed as product of 2 power m x 5 power n.so the answer is 'd' 0
