Question

without actually performing the long division state whether the following rational numbers and terminating or non terminating or recurring decimal 1) 29/243​

Answer 1

Answer:

Given rational number is 29/243 p/q is terminating if a) p and q are co-prime & b) q is of the form of 2n 5m where n and m are non-negative integers. Firstly, we check co-prime 29 = 29 × 1 243 = 35 29 and 243 have no common factors Therefore, 29 and 243 are co-prime. Now, we have to check that q is in the form of 2n5m 243 = 35 So, the denominator is not of the form 2n5m Thus, 29/243 is a non- terminating repeating decimalRead