Question

does 21/200has a terminating decimal expansion​

Answer 1

Answer:

YES....

REFER ATTACHMENT

Step-by-step explanation:

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Answer 2

$Given \: \frac{21}{200}$

$= \frac{21}{2\times 2^{2} \times 5^{2}}$

$= \frac{21}{2^{3} \times 5^{2}}$

$= \frac{21\times 5}{2^{3} \times 5^{3}}$

$= \frac{105}{(2 \times 5)^{3}}$

$= \frac{105}{(10)^{3}}$

$= \frac{105}{1000}$

$= 0.105$

$\blue {( Terminating \: decimal )}$

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