Examine the following real numbers:

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

Problem

Examine the following real numbers: 316,  1445,  1764,  227,  5\dfrac{3}{16},\;\dfrac{14}{45},\;\dfrac{17}{64},\;\dfrac{22}{7},\;\sqrt{5} (i) Classify each number as rational or irrational, giving a brief reason in each case. (ii) For every rational number listed, further state whether its decimal expansion is terminating or non-terminating recurring. Justify each answer clearly.

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