(i) 8 = 23 since the denominator is of the form 2m therefore the expression \(\frac{23}{8}\) is terminating.
(ii) 441 = 32 × 72 since the denominator is not in the form of 2m and 5n
Therefore the given expression is Non - terminating repeating
(iii) \(\frac{7\times5}{10\times5}\) = \(\frac{7}{10}\)
10 = 2×5 therefore the denominator is of the form 2m × 5n
Hence, the given expression is Terminating
(iv) \(\frac{77}{210}\) = \(\frac{7\times11}{30\times7}\) = \(\frac{11}{30}\)
30 = 2×3×5
Since the denominator is not of the form 2m × 5n
Hence, the given expression is Non - terminating repeating Terminating
(v) \(\frac{129}{2^2\times 5^7\times 7^{17}}\)
Since the denominator is not in the form 2m × 5n
Hence, the given expression is Non - terminating repeating Terminating