A) Terminating decimal expansion
B) Non-terminating decimal expansion
C) Repeating decimal expansion
D) Both (b) and (c)
Correct Answer: D
Solution :
Given number, \[\frac{{{2}^{2}}\times {{3}^{2}}\times {{7}^{3}}}{{{2}^{2}}\times {{5}^{3}}\times {{3}^{5}}\times {{7}^{4}}}=\frac{1}{{{3}^{3}}\times {{5}^{3}}\times 7}\] If the prime factorization of denominator has power of 2, power of 5 or both, then the number should always be terminating decimals So, it is a non-terminating and repeating decimal expansion.You need to login to perform this action.
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