Consider the rational number .

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Consider the rational number 6572000\dfrac{657}{2000}. (i) Express the fraction in its simplest (lowest-term) form. (ii) Determine whether its decimal expansion terminates or is non-terminating recurring. Give reasons for your answer. (iii) If the decimal expansion terminates, calculate the exact decimal form and state the number of digits after the decimal point.

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