To solve the problem [tex]\( 328 \times 0.125 \)[/tex] and report the answer with the correct number of significant figures, we need to follow these steps:
1. Perform the Multiplication:
Multiply the two numbers directly.
[tex]\[
328 \times 0.125 = 41.0
\][/tex]
2. Determine Significant Figures:
To properly report the answer, we need to use the correct number of significant figures.
- The number 328 has three significant figures.
- The number 0.125 also has three significant figures.
3. Report the Result with the Proper Significant Figures:
The result of the multiplication is 41.0. Since the number of significant figures to consider is three (the least for the given numbers), we ensure the result is reported with three significant figures.
Therefore, the answer is:
[tex]\[
328 \times 0.125 = 41.0
\][/tex]