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Real Numbers — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsReal Numbers2 Marks
Question
Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non terminating repeating decimal expansion.
$\frac{23}{8}$
✓

Answer

$8 = 2^3$
The denominator is of the form $2^m \times 5^n.$
Hence, the decimal expansion of $\frac{23}{6}$ is terminating.

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