Question

express the following in scientific notation, using the correct number of significant figures:

0.096

• none of the above
• \\(9.60 \times 10^{-2}\\)
• \\(9.6 \times 10^{-2}\\)
• \\(9.60 \times 10^2\\)

Explanation:

Identify significant figures in the decimal

$$ 0.096 \implies \text{2 significant figures (9 and 6)} $$

Convert to scientific notation

$$ 0.096 = 9.6 \times 10^{-2} $$

Match with the given options

$$ 9.6 \times 10^{-2} $$

Answer:

• none of the above
• \(9.60 \times 10^{-2}\)
• \(9.6 \times 10^{-2}\) (Correct answer)
• \(9.60 \times 10^{2}\)