Question

which of the numbers below is less than 1? 5.1×10² 1.5×10⁵ 2.8×10⁻⁷

Explanation:

Step1: Analyze \(5.1 \times 10^{2}\)

\(10^{2}=100\), so \(5.1\times10^{2}=5.1\times100 = 510\), which is greater than 1.

Step2: Analyze \(1.5 \times 10^{5}\)

\(10^{5}=100000\), so \(1.5\times10^{5}=1.5\times100000 = 150000\), which is greater than 1.

Step3: Analyze \(2.8 \times 10^{-7}\)

\(10^{-7}=\frac{1}{10^{7}}=\frac{1}{10000000}\), so \(2.8\times10^{-7}=2.8\times\frac{1}{10000000}=0.00000028\), which is less than 1.

Answer:

\(2.8 \times 10^{-7}\)