To solve the problem [tex]\( 8.01 \times 4.1 \)[/tex] and round it to the correct number of significant figures, follow these steps:
1. Identify the precision of each number:
- The number [tex]\( 8.01 \)[/tex] has three significant figures.
- The number [tex]\( 4.1 \)[/tex] has two significant figures.
2. Perform the multiplication:
[tex]\[
8.01 \times 4.1 = 32.840999999999994
\][/tex]
3. Determine the required significant figures:
- The answer should be rounded to match the number with the least significant figures in the equation, which is [tex]\( 4.1 \)[/tex] with two significant figures.
4. Round the result to the appropriate number of significant figures:
- Rounding [tex]\( 32.840999999999994 \)[/tex] to two significant figures, we look at the first two digits (32) and the next digit (8).
- Since the next digit is 8, which is greater than or equal to 5, we round up the last digit we keep.
Thus, [tex]\( 32.840999999999994 \)[/tex] rounded to two significant figures becomes [tex]\( 32.8 \)[/tex].
So, the correct answer is:
A. [tex]\( 32.8 \)[/tex]
