What is the product of 3800 and 9.9 × 10^5 expressed in scientific notation?

• A. 3.8 × 10^3 × 9.9 × 10^5 = 3.762 × 10^8
• B. 3.8 × 10^3 × 9.9 × 10^5 = 3.8 × 10^9
• C. 3.8 × 10^3 × 9.9 × 10^5 = 3.8 × 10^8
• D. 3.8 × 10^3 × 9.9 × 10^5 = 3.762 × 10^9

Answer: (A)

Verified step by step guidance

1. First, express the number 3800 in scientific notation. Since 3800 = 3.8 × 10^3, rewrite it as such.
2. Next, write down the other number as given: 9.9 × 10^5.
3. Multiply the coefficients (the numbers in front) together: calculate 3.8 × 9.9.
4. Add the exponents of 10 together because when multiplying powers of ten, you add the exponents: calculate 10^3 × 10^5 = 10^{3+5} = 10^8.
5. Combine the product of the coefficients with the power of ten to write the result in scientific notation. If the coefficient is not between 1 and 10, adjust it by shifting the decimal point and modifying the exponent accordingly.