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The solutions for the given problems are:

(a) \((5.1 \times 10^4) \cdot (2.5 \times 10^3) = 127,500,000\)

(b) \((3.2 \times 10^3) + (5.7 \times 10^{-2}) = 3200.057\)

Would you like a detailed explanation of the steps involved or any clarifications?

Here are 5 related questions you might explore:
1. What is the significance of scientific notation in real-world applications?
2. How do you handle multiplication and division of numbers in scientific notation?
3. Can you explain how to convert standard numbers into scientific notation?
4. What is the rule for adding or subtracting numbers in scientific notation?
5. How does the order of magnitude affect the precision of scientific calculations?

**Tip:** Always check the powers of 10 separately when performing operations on numbers in scientific notation to simplify calculations.

Solve the following problems: (a) (5.1 × 10^4) · (2.5 × 10^3), (b) (3.2 × 10^3) + (5.7 × 10^-2)

Learn how to solve problems involving multiplication and addition in scientific notation. Example: (a) (5.1 × 10^4) · (2.5 × 10^3) = 127,500,000, (b) (3.2 × 10^3) + (5.7 × 10^-2) = 3200.057. Key concepts covered include scientific notation, multiplying and adding exponents.

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