Question

which of the numbers below is greater than 1? 2×10⁶ 8×10⁻⁹ 1.3×10⁻³

Explanation:

Step1: Analyze \(2 \times 10^{6}\)

A positive exponent in scientific notation means we move the decimal point to the right. \(10^{6}=1000000\), so \(2\times10^{6} = 2\times1000000=2000000\), which is greater than 1.

Step2: Analyze \(8 \times 10^{-9}\)

A negative exponent means we move the decimal point to the left. \(10^{-9}=\frac{1}{10^{9}} = 0.000000001\), so \(8\times10^{-9}=8\times0.000000001 = 0.000000008\), which is less than 1.

Step3: Analyze \(1.3 \times 10^{-3}\)

\(10^{-3}=\frac{1}{10^{3}}=0.001\), so \(1.3\times10^{-3}=1.3\times0.001 = 0.0013\), which is less than 1.

Answer:

\(2 \times 10^{6}\)