Question

6.2 scientific notation quiz

what is the result of \\((2 \times 10^3) \times (4 \times 10^5)\\)

a. \\(6 \times 10^8\\)
b. \\(8 \times 10^8\\)
c. \\(8 \times 10^7\\)
d. \\(6 \times 10^7\\)

Explanation:

Group the coefficients and powers of ten

Using the Properties of Exponents knowledge point

$$ (2 \times 10^3) \times (4 \times 10^5) = (2 \times 4) \times (10^3 \times 10^5) $$

Multiply the coefficients

Multiply the leading decimal numbers:

$$ 2 \times 4 = 8 $$

Multiply the powers of ten

Using the Properties of Exponents knowledge point

$$ 10^3 \times 10^5 = 10^{3+5} = 10^8 $$

Combine the results

Combine the simplified parts into scientific notation:

$$ 8 \times 10^8 $$

Answer:

• A. \(6 \times 10^8\)
• B. \(8 \times 10^8\) (Correct answer)
• C. \(8 \times 10^7\)
• D. \(6 \times 10^7\)