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Let's break down the problem and solve it step by step. The expression you need to add is:

\[
3.5 \times 10^4 + 7.5 \times 10^1
\]

### Step 1: Convert both terms to the same power of 10
To add numbers in scientific notation, we need both numbers to have the same exponent. Let's convert \(7.5 \times 10^1\) so it matches the exponent of \(10^4\).

\[
7.5 \times 10^1 = 0.0075 \times 10^4
\]

Now, the expression becomes:

\[
3.5 \times 10^4 + 0.0075 \times 10^4
\]

### Step 2: Add the coefficients
Since the exponents are the same, we can add the coefficients:

\[
(3.5 + 0.0075) \times 10^4 = 3.5075 \times 10^4
\]

### Final Answer:
The sum in scientific notation is:

\[
3.5075 \times 10^4
\]

Let me know if you need further details or clarification!

Here are 5 related questions:
1. How do you subtract numbers in scientific notation?
2. What happens if the exponents in two scientific notation terms are different?
3. Can you convert \(3.5075 \times 10^4\) back to standard form?
4. What is the advantage of using scientific notation for large or small numbers?
5. How would you multiply two numbers in scientific notation?

**Tip:** When adding or subtracting in scientific notation, always match the exponents first before performing the operation on the coefficients.

3.5 × 10^4 + 7.5 × 10^1 = (Express in scientific notation)

Learn how to add numbers in scientific notation, specifically 3.5 × 10^4 and 7.5 × 10^1. This step-by-step solution involves converting the terms to the same exponent and adding their coefficients to get 3.5075 × 10^4. Suitable for students in Grades 7-10.

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