Study the following situations on decimal expansions and answer the questions.
MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Study the following situations on decimal expansions and answer the questions.
(i) Without performing the actual division, decide whether the decimal expansion of 87 terminates or is non-terminating recurring. Give reason.
(ii) Explain why the decimal expansion of 31 is non-terminating recurring.
(iii) Convert the non-terminating recurring decimal 0.037037037\dots into a fraction in lowest terms and state the set(s) of real numbers to which the fraction belongs.