The problem asks us to add two numbers expressed in scientific notation: $(4.36 \times 10^5) + (3.75 \times 10^5)$. We need to write the answer in scientific notation, specifically in the form of a number multiplied by $10^5$.

1. Problem Description

The problem asks us to add two numbers expressed in scientific notation: $(4.36 \times 10^5) + (3.75 \times 10^5)$. We need to write the answer in scientific notation, specifically in the form of a number multiplied by $10^5$.

2. Solution Steps

Since both numbers have the same power of 10, we can directly add the coefficients:

$4.36 + 3.75 = 8.11$

Therefore, $(4.36 \times 10^5) + (3.75 \times 10^5) = (4.36 + 3.75) \times 10^5 = 8.11 \times 10^5$.

Since the answer needs to be in the form of something multiplied by $10^5$, the blank should be filled with $8.11$.

3. Final Answer

8. 11