Answer the following questions about decimal expansions of rational numbers.
MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Answer the following questions about decimal expansions of rational numbers.
(i) Define a rational number.
(ii) State the condition, in terms of the prime factors of the denominator, under which the decimal expansion of a rational number terminates.
(iii) Without actually performing long division, decide whether the decimal expansion of each of the following fractions terminates or is non-terminating recurring. Give a brief reason for each answer.
(A) 3213
(B) 4529
(C) 12521