Question

what is \\((3.1 \times 10^5)(2.2 \times 10^7)\\) in scientific notation?

• \\(5.5 \times 10^{12}\\)
• \\(6.82 \times 10^{12}\\)
• \\(5.5 \times 10^{35}\\)
• \\(6.82 \times 10^{35}\\)

Explanation:

Multiply the coefficients and the powers of 10

$$ (3.1 \times 10^5)(2.2 \times 10^7) = (3.1 \times 2.2) \times (10^5 \times 10^7) $$

Calculate the products

$$
LATEXBLOCK0
$$

Combine into scientific notation

$$ 6.82 \times 10^{12} $$

Answer:

• (A) \(5.5 \times 10^{12}\)
• (B) \(6.82 \times 10^{12}\) (Correct answer)
• (C) \(5.5 \times 10^{35}\)
• (D) \(6.82 \times 10^{35}\)