Question

which of the numbers below is greater than 1? 6.5×10⁻⁸ 3.1×10² 2.9×10⁻⁷

Explanation:

Step1: Analyze \(6.5 \times 10^{-8}\)

A negative exponent in scientific notation means we move the decimal to the left. \(10^{-8}\) is \(0.00000001\), so \(6.5\times10^{-8}=6.5\times0.00000001 = 0.000000065\), which is less than 1.

Step2: Analyze \(3.1 \times 10^{2}\)

A positive exponent of 2 in scientific notation means we move the decimal to the right 2 times. \(10^{2}=100\), so \(3.1\times10^{2}=3.1\times100 = 310\), which is greater than 1.

Step3: Analyze \(2.9 \times 10^{-7}\)

\(10^{-7}\) is \(0.0000001\), so \(2.9\times10^{-7}=2.9\times0.0000001 = 0.00000029\), which is less than 1.

Answer:

\(3.1 \times 10^{2}\)