T UULIOL Write the decimal expansio...
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T UULIOL Write the decimal expansion of the following using prime factorisation : 327 0 35 17 (ii) (iii) 16 8 500

NEET/Medical Exams
Maths
Solution
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(i) ( frac{35}{16}=frac{35 times 5^{4}}{2^{4} times 5^{4}}=frac{35 times 625}{(10)^{4}}=frac{21875}{10000}=2.1875 ) (ii) ( frac{17}{8}=frac{17 times 5^{3}}{2^{3} times 5^{3}}=frac{17 times 125}{(10)^{3}}=frac{2125}{1000}=2.125 ) (iii) ( frac{327}{500}=frac{327}{5 times 5 times 5 times 2 times 2}=frac{327}{5^{3} times 2^{2}}=frac{327 times 2}{5^{3} times 2^{3}}=frac{654}{(10)^{3}}=0.654 )
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