MCQ
$\frac{57}{300}$ is a
- Anon-terminating and non-repeating decimal expansion
- ✓terminating decimal expansion after 2 places of decimals
- Cterminating decimal expansion after 3 places of decimals
- Dnon-terminating but repeated decimal expension
✓
Answer
Correct option: B.
terminating decimal expansion after 2 places of decimals
(b)
Terminating decimal expansion after 2 places of decimals.Here $\frac{57}{300}$ can be written as $=\frac{57}{2^2 \times 3^1 \times 5^2}$
Further, it can be written as
$
\frac{19}{2^2 \times 5^2}=\frac{19}{100}=0.19
$
Since, the denominator is of the form $2^{ m } \times 5^{ n }$, the decimal expansion will be terminating.
Therefore, it is terminating decimal expansion after 2 decimal places.
Terminating decimal expansion after 2 places of decimals.Here $\frac{57}{300}$ can be written as $=\frac{57}{2^2 \times 3^1 \times 5^2}$
Further, it can be written as
$
\frac{19}{2^2 \times 5^2}=\frac{19}{100}=0.19
$
Since, the denominator is of the form $2^{ m } \times 5^{ n }$, the decimal expansion will be terminating.
Therefore, it is terminating decimal expansion after 2 decimal places.
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