Question

In \( L_2 \) form of 0.375, the form of \( q \) is:

• A. \( 2^2 \times 5^2 \)
• B. \( 2^3 \times 5^2 \)
• C. \( 2^3 \times 5^3 \)
• D. \( 2^2 \times 5^3 \)

Hint:

Convert decimals to fractions and express them in terms of their prime factors to determine their L form.

Answer 1

The Correct Option is B

We are given \( 0.375 \). First, convert \( 0.375 \) to a fraction: \[ 0.375 = \frac{375}{1000} = \frac{3}{8}. \] Now express \( \frac{3}{8} \) in terms of its prime factors: \[ \frac{3}{8} = \frac{3}{2^3}. \] Thus, the form of \( q \) is \( 2^3 \times 5^2 \). Therefore, the form of \( q \) is \( \boxed{2^3 \times 5^2} \).