To solve this problem, we need to determine the total number of viewers the TV show had over the two weeks and express this total in scientific notation. Let's break it down step-by-step:
1. Identify the number of viewers in each week:
- In the first week, the number of viewers was [tex]\(5.6 \times 10^5\)[/tex].
- In the second week, the number of viewers was [tex]\(4.1 \times 10^5\)[/tex].
2. Add these two quantities together to find the total number of viewers. In standard form, this looks like:
[tex]\[
5.6 \times 10^5 + 4.1 \times 10^5 = 9.7 \times 10^5
\][/tex]
3. Express the result in scientific notation. The total number of viewers is:
[tex]\[
9.7 \times 10^5
\][/tex]
From the choices given:
- [tex]\(9.7 \times 10^{10}\)[/tex]
- [tex]\(9.7 \times 10^5\)[/tex]
- [tex]\(4.85 \times 10^{10}\)[/tex]
- [tex]\(4.85 \times 10^5\)[/tex]
The correct answer is:
[tex]\[
9.7 \times 10^5
\][/tex]
