To solve the expression \((102,900 \div 12) + (170 \times 1.27)\) and express it to the correct number of significant figures, we can follow these steps:
1. Perform the division in the first part of the expression:
\( \frac{102,900}{12} = 8,575.0 \)
2. Perform the multiplication in the second part of the expression:
\( 170 \times 1.27 = 215.9 \)
3. Add the results of the two expressions:
\( 8,575.0 + 215.9 = 8,790.9 \)
4. Express the result to the correct number of significant figures:
- In this case, we consider the measurements and identify the least accurate measurement in terms of significant figures. Here, the number 170 has three significant figures.
- Therefore, we need to express our final result to three significant figures.
- The number 8,790.9 rounded to three significant figures is 8,800.
Thus, the solution to the problem expressed to the correct number of significant figures is:
Answer:
D. 8,800
