Question:
In the form of \( \frac{p}{2^n \times 5^m} \), 0.105 can be written as:
In the form of \( \frac{p}{2^n \times 5^m} \), 0.105 can be written as:
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Convert decimals to fractions and factorize the denominator.
Updated On: Oct 27, 2025
- \( \frac{21}{2^2 \times 5^2} \)
- \( \frac{21}{2^3 \times 5^3} \)
- \( \frac{21}{2^3 \times 5^2} \)
- \( \frac{21}{2 \times 5^3} \)
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The Correct Option is D
Solution and Explanation
\[
0.105 = \frac{105}{1000} = \frac{21}{200}.
\]
Prime factorizing the denominator:
\[ 200 = 2 \times 5^3. \] Thus,
\[ 0.105 = \frac{21}{2 \times 5^3}. \]
\[ 200 = 2 \times 5^3. \] Thus,
\[ 0.105 = \frac{21}{2 \times 5^3}. \]
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