Question

In the form \( \frac{p}{q} \) of 0.375, the form of \( q \) is:

• A. \( 2^3 \times 5^0 \)
• B. \( 2^3 \times 5^2 \)
• C. \( 2^3 \times 5^3 \)
• D. \( 2^2 \times 5^3 \)

Hint:

When simplifying fractions, factor both the numerator and denominator to express in powers of primes.

Answer 1

The Correct Option is A

We can express \( 0.375 \) as a fraction. Start by writing it as: \[ 0.375 = \frac{375}{1000}. \] Now simplify the fraction: \[ \frac{375}{1000} = \frac{3 \times 5^3}{2^3 \times 5^3} = \frac{3}{2^3 \times 5^0}. \] Thus, the form of \( q \) is \( 2^3 \times 5^0 \).