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Real Numbers — Maths STD 10 — Question

CBSE 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.
$\frac{35}{50}$
✓

Answer

$\frac{35}{50}=\frac{7}{10}=\frac{7}{2\times5}$
So, the simplest from of the given rational number $\frac{35}{50}$ is $\frac{7}{10}$ and determination 10 is of the form$ (2^m \times 5^n)$, where m and n are non-nagative integer.
Thus, $\frac{35}{50}$ has a terminating decimal expansion.

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