Write down the decimal expansion of these given rational numbers which have terminating decimal expansions.

Question : Write down the decimal expansion of these given rational numbers which have terminating decimal expansions.

(i) \(13\over 3125\)

(ii)  \(17\over 8\)

(iii)  \(64\over 455\)

(iv)  \(15\over 1600\)

(v)  \(29\over 343\)

(vi)  \(23\over {2^3 5^2}\)

(vii)  \(129\over {2^2 5^7 7^5}\)

(viii)  \(6\over 15\)

(ix)  \(35\over 50\)

(x)  \(77\over 210\)

Solution :

(i)  \(13\over 3125\) = 0.0046

(ii)  \(17\over 8\) = 2.125

(iii)  Non-terminating repeating decimal.

(iv)  \(15\over 1600\) = 0.009375

(v)  Non-terminating repeating decimal.

(vi)  \(23 \over 2^3 5^2\) = \(115\over 1000\) = 0.115

(vii)  Non-terminating repeating decimal.

(viii)  \(16\over 5\) = \(2\over 5\) = 0.4

(ix)  \(35\over 50\) = 0.70

(x) Non-terminating repeating decimal.

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