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Real Numbers — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsReal Numbers3 Marks
Question
Examine whether $\frac{17}{30}$ is a terminating decimal.
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Answer

A number is a terminating decimal, if the denominator is of the form $2^m \times 5^n$, where m and n are non-negative integers.
$\frac{17}{30}=\frac{17}{2\times3\times5}$
Clearly, $\frac{17}{30}$ is a not a terminating decimal, since its denominator is not of the form $2^m \times 5^n$​​​​​​​
It has a factor of $3$ present too.

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