Question

write whether the rational number 11/125 will have a terminating dacimal expansion or a non terminating repeating dacimal expansion​

Answer 1

$\rm\textsf \green{Solution}$

$\rm\texttt \blue {It \:is \:given\: that}$

$\rm \frac{11}{125}$

=$\rm \frac{11\cdot2^{3}}{5^{3}\cdot2^{3}}$

=$\frac{88}{10^{3}}$

=$\rm \frac{88}{1000}$

=$\rm 0.088$

Therefore ,

After 3 decimal places

given rational number

terminates.

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