Question

In the form of \( \frac{p}{2^n \times 5^m} \), 0.105 can be written as:

• A. \( \frac{21}{2^2 \times 5^2} \)
• B. \( \frac{21}{2^3 \times 5^3} \)
• C. \( \frac{21}{2^3 \times 5^2} \)
• D. \( \frac{21}{2 \times 5^3} \)

Hint:

Convert decimals to fractions and factorize the denominator.

Answer 1

The Correct Option is D

\[ 0.105 = \frac{105}{1000} = \frac{21}{200}. \] Prime factorizing the denominator:
\[ 200 = 2 \times 5^3. \] Thus,
\[ 0.105 = \frac{21}{2 \times 5^3}. \]