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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 $10^5$.

ArithmeticScientific NotationAdditionExponents
2025/3/12

1. Problem Description

The problem asks us to add two numbers expressed in scientific notation: (4.36×105)+(3.75×105)(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 10510^5.

2. Solution Steps

Since both numbers have the same power of 10, we can directly add the coefficients:
4.36+3.75=8.114.36 + 3.75 = 8.11
Therefore, (4.36×105)+(3.75×105)=(4.36+3.75)×105=8.11×105(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 10510^5, the blank should be filled with 8.118.11.

3. Final Answer

8. 11

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