Question

question 14

express the following calculation in scientific notation:
\\((3.6 \times 10^{-4}) \times (3.6 \times 10^{6}) =\\)

• \\(7.2 \times 10^{-4}\\)
• \\(1.3 \times 10^{3}\\)
• \\(1.3 \times 10^{-3}\\)
• \\(7.2 \times 10^{4}\\)

Explanation:

Multiply the coefficients and add exponents

$$ (3.6 \times 3.6) \times 10^{-4 + 6} = 12.96 \times 10^2 $$

Adjust to standard scientific notation

$$ 12.96 \times 10^2 = 1.296 \times 10^3 $$

Round to correct significant figures

$$ 1.296 \times 10^3 \approx 1.3 \times 10^3 $$

Answer:

• (A) \(7.2\times10^{-4}\)
• (B) \(1.3\times10^3\) (Correct answer)
• (C) \(1.3\times10^{-3}\)
• (D) \(7.2\times10^4\)