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which number is greatest? \\(2.89 \\times 10^{-8}\\) \\(1.997 \\times 1…

Question

which number is greatest?

\\(2.89 \times 10^{-8}\\)
\\(1.997 \times 10^{2}\\)
\\(8.9 \times 10^{-4}\\)
\\(5 \times 10^{-6}\\)

Explanation:

Convert numbers to standard form

$$ LATEXBLOCK0 $$

Compare the values

$$ 199.7 > 0.00089 > 0.0005 > 0.0000000289 $$

Identify the greatest number

$$ 1.997 \times 10^{2} $$

Answer:

  • (A) \(2.89 \times 10^{-8}\)
  • (B) \(1.997 \times 10^{2}\) (Correct answer)
  • (C) \(8.9 \times 10^{-4}\)
  • (D) \(5 \times 10^{-4}\)