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The problem is asking to add two numbers in scientific notation and write the answer also in scientific notation.

The expression provided is:

\[
(4.6 \times 10^3) + (8 \times 10^3)
\]

### Step-by-step solution:
1. **Recognize that both terms have the same exponent**: \(10^3\), so we can factor out \(10^3\).

   \[
   (4.6 \times 10^3) + (8 \times 10^3) = (4.6 + 8) \times 10^3
   \]

2. **Add the coefficients**:
   
   \[
   4.6 + 8 = 12.6
   \]

3. **Rewrite the result**:
   
   \[
   12.6 \times 10^3
   \]

4. **Convert the answer into proper scientific notation**: To express \(12.6 \times 10^3\) in proper scientific notation, the coefficient must be between 1 and 10. So, rewrite \(12.6\) as \(1.26 \times 10^1\).

   \[
   12.6 \times 10^3 = 1.26 \times 10^1 \times 10^3 = 1.26 \times 10^4
   \]

### Final Answer:
\[
1.26 \times 10^4
\]

Would you like further clarification on any step or details?

Here are 5 related questions for practice:
1. How do you multiply numbers in scientific notation?
2. What is the process for subtracting numbers in scientific notation with different exponents?
3. How do you convert a large number into scientific notation?
4. What are the rules for adding numbers with different powers of 10?
5. How do you handle division in scientific notation?

**Tip**: When adding or subtracting in scientific notation, always ensure the powers of 10 are the same before combining the coefficients.

Add: (4.6 × 10^3) + (8 × 10^3). Write your answer in scientific notation.

Learn how to add numbers in scientific notation with this step-by-step example: (4.6 × 10^3) + (8 × 10^3). The solution simplifies the process by adding the coefficients and adjusting the result to scientific notation, suitable for students in Grades 6-8.

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