Let's go through the steps to perform the division operation and ensure the result is reported to the correct number of significant figures.
First, we need to divide the two numbers:
[tex]\[
16.25 \div 1.35
\][/tex]
Performing this division yields approximately:
[tex]\[
12.037037037037036
\][/tex]
Next, we need to consider the number of significant figures in the given numbers. Both 16.25 and 1.35 have four significant figures.
When performing division (or multiplication), the result should be reported with the same number of significant figures as the number with the fewest significant figures in the operation. Here, both numbers have four significant figures, so our result should also have four significant figures.
Rounding 12.037037037037036 to four significant figures, we get:
[tex]\[
12.037
\][/tex]
Thus, the answer to [tex]\( 16.25 \div 1.35 \)[/tex] reported to the correct number of significant figures is:
[tex]\[
\boxed{12.037}
\][/tex]
