To solve the problem [tex]\(6.221 \times 7.11 - 13.7\)[/tex], let's break it down step by step.
1. Multiplication Step:
- First, multiply 6.221 by 7.11.
- The product of 6.221 and 7.11 is 44.23131.
2. Subtraction Step:
- Next, subtract 13.7 from the product obtained in the multiplication step.
- Subtracting 13.7 from 44.23131 gives us 30.53131.
Now, let's consider significant figures:
- 6.221 has 4 significant figures.
- 7.11 has 3 significant figures.
- The least number of significant figures in the numbers we are using is 3 (from 7.11).
Since our final subtraction does not affect the significant figures beyond what multiplication has determined, our final result should also be expressed with 3 significant figures.
The correctly expressed answer to the problem [tex]\(6.221 \times 7.11 - 13.7 = 30.5\)[/tex] (rounded to 3 significant figures).
So, the final answer is:
[tex]\[
\boxed{30.5}
\][/tex]
