Question

without actual division find which of the following rationals are terminating decimals which is 21/80

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Answer 1

Answer:

0.2625

Step-by-step explanation:

$=\frac{21}{80} \\\\=\frac{21}{16 * 5} \\\\=\frac{21}{2^{4} 5^{1} } \\\\=\frac{21}{2^{4} 5^{1} } *\frac{5^{3} }{5^{3} }\\\\=\frac{21*5*5*5}{2^{4} 5^{4} } \\\\=\frac{2625}{(2*5)^{4} } \\\\=\frac{2625}{(10)^{4} } \\\\=\frac{2625}{10000 } \\\\= 0.2625$

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