Question

choose the correct answer. choose the correct inequality symbol to compare these numbers. $4.1 \times 10^{-2}$? $3.8 \times 10^{-1}$ less than greater than

Explanation:

Step1: Convert to decimal form

First, convert \(4.1\times10^{-2}\) to decimal. Recall that \(10^{-2}=\frac{1}{100} = 0.01\), so \(4.1\times10^{-2}=4.1\times0.01 = 0.041\).
Then, convert \(3.8\times10^{-1}\) to decimal. Recall that \(10^{-1}=\frac{1}{10}=0.1\), so \(3.8\times10^{-1}=3.8\times0.1 = 0.38\).

Step2: Compare the two decimals

Now, compare \(0.041\) and \(0.38\). We can see that \(0.041\) is less than \(0.38\). So \(4.1\times10^{-2}<3.8\times10^{-1}\).

Answer:

Less Than (\(<\))