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To evaluate \( 3.91 \times 10^5 + 7.43 \times 10^6 \) and express the answer in scientific notation, follow these steps:

### Step 1: Convert both numbers to have the same exponent.
We need to express both terms with the same exponent so that we can add them easily. Here, the second term has a higher exponent \( 10^6 \) than the first term \( 10^5 \). Let's rewrite \( 3.91 \times 10^5 \) in terms of \( 10^6 \).

\[
3.91 \times 10^5 = 0.391 \times 10^6
\]

### Step 2: Add the numbers.
Now that both terms have the same exponent, we can add the coefficients:

\[
0.391 \times 10^6 + 7.43 \times 10^6 = (0.391 + 7.43) \times 10^6 = 7.821 \times 10^6
\]

### Step 3: Express the answer in scientific notation.
The final answer is already in scientific notation:

\[
7.821 \times 10^6
\]

Would you like more details on any of these steps?

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Here are 5 related questions for further practice:
1. How do you subtract two numbers in scientific notation?
2. What is the process of multiplying numbers in scientific notation?
3. How would you divide \( 4.5 \times 10^8 \) by \( 3.0 \times 10^4 \)?
4. How do you convert a large number like 8,500,000 to scientific notation?
5. How can you perform operations on numbers with negative exponents?

**Tip**: When adding or subtracting in scientific notation, always align the exponents first!

Evaluate. Express your answer in scientific notation: 3.91 × 10^5 + 7.43 × 10^6

Learn how to add 3.91 × 10^5 and 7.43 × 10^6 using scientific notation. This solution involves converting to the same exponent, adding coefficients, and expressing the final answer in proper scientific form. Ideal for students in Grades 9-11.

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