To complete the equation \( \frac{8}{10} = ? \times \frac{1}{10} \), we can rewrite it as:
\[ ? = \frac{8}{10} \div \frac{1}{10} \]
To divide by a fraction, we multiply by its reciprocal:
\[ ? = \frac{8}{10} \times \frac{10}{1} = \frac{8 \times 10}{10 \times 1} = \frac{80}{10} = 8 \]
So, the correct value from the drop-down list should be 8.