To solve the expression \( (3.0 \times 10^6) \times (1.7 \times 10^{-4}) \):

We can multiply the coefficients \( 3.0 \) and \( 1.7 \), and then add the exponents \( 6 \) and \( -4 \) of the powers of 10.

\[
(3.0 \times 1.7) \times 10^{6 + (-4)} = 5.1 \times 10^2
\]

The answer is \( 5.1 \times 10^2 \), or \( 510 \).

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Here are 5 related questions to explore:
1. How do you multiply two numbers in scientific notation?
2. What is the rule for adding exponents when multiplying powers of ten?
3. How do you convert a number from scientific notation to standard form?
4. What are the applications of scientific notation in real-world problems?
5. How can you perform division with numbers in scientific notation?

**Tip:** When multiplying numbers in scientific notation, focus on the coefficients first, then adjust the exponents according to the rules of exponents.

Learn how to multiply numbers in scientific notation with an example problem. This problem involves multiplying (3.0 × 10^6) × (1.7 × 10^-4), focusing on the coefficients and exponents. Understand the rules for multiplying powers of ten and solving scientific notation equations. Suitable for Grades 7-9.

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