Evaluate the following product. Leave your answer in scientific notation.
 

(5.2×103)(2.7×10−9)





To evaluate the product \((5.2 \times 10^3) \times (2.7 \times 10^{-9})\), follow these steps:

1. **Multiply the coefficients:**  
   \[
   5.2 \times 2.7 = 14.04
   \]

2. **Add the exponents of 10:**  
   \[
   10^3 \times 10^{-9} = 10^{3 + (-9)} = 10^{-6}
   \]

3. **Combine the results:**  
   \[
   14.04 \times 10^{-6}
   \]

Since scientific notation requires the coefficient to be between 1 and 10, adjust \(14.04 \times 10^{-6}\) as follows:

\[
14.04 \times 10^{-6} = 1.404 \times 10^{-5}
\]

Thus, the answer in scientific notation is:

\[
\boxed{1.404 \times 10^{-5}}
\]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you handle multiplication when one number is not in scientific notation?
2. What steps are needed to adjust a coefficient in scientific notation to be between 1 and 10?
3. How does adding the exponents work when multiplying powers of 10?
4. What if the coefficient multiplication gives a value less than 1?
5. How do you convert very large or very small numbers into scientific notation?

**Tip:** When multiplying numbers in scientific notation, always check if the coefficient needs adjusting to keep it between 1 and 10.

Learn how to evaluate the product (5.2×10³)(2.7×10⁻⁹) and express the answer in scientific notation. This problem covers multiplication of numbers in scientific notation, including steps to combine coefficients and add exponents of 10. Suitable for students in Grades 9-12.

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