Select the correct answer.

What is the solution to the problem expressed to the correct number of significant figures?

[tex]\[ \frac{102,900}{12} + (170 \times 1.27) = ? \][/tex]

A. 8,790
B. [tex]$8,790.9$[/tex]
C. 8,791
D. 8,800



Answer :

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