1. **Problem:** Find the value of $ (2.4 \times 10^3) + (5.7 \times 10^2) $. 2. **Formula and rules:** To add numbers in scientific notation, they must have the same power of 10. 3. **Step 1:** Express both terms with the same power of 10. Here, convert $5.7 \times 10^2$ to $0.57 \times 10^3$. $$5.7 \times 10^2 = 0.57 \times 10^3$$ 4. **Step 2:** Add the coefficients: $$2.4 + 0.57 = 2.97$$ 5. **Step 3:** Combine the sum with the common power of 10: $$2.97 \times 10^3$$ 6. **Answer:** The value is $2.97 \times 10^3$, which corresponds to option B.