Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

Sagot :

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