The answer to the correct scientific notation of the following given expression `frac{2.320}{3.694}X0.050` is,

Options

A. 0.03
B. `3.1X10^-2`
C. 0.031
D. `0.31x10^-1`

Answer

To solve the expression \(\frac{2.320}{3.694} \times 0.050\) and express the result in scientific notation, follow these steps:

### Step 1: Perform the Division
First, we need to divide \(2.320\) by \(3.694\).

\[ \frac{2.320}{3.694} \approx 0.628 \]

### Step 2: Multiply by \(0.050\)
Next, we multiply the result from Step 1 by \(0.050\).

\[ 0.628 \times 0.050 = 0.0314 \]

### Step 3: Convert to Scientific Notation
Now, we need to convert \(0.0314\) into scientific notation. To do this, we express it as:

\[ 0.0314 = 3.14 \times 10^{-2} \]

However, since we need to match the format given in the video transcript, we round \(3.14\) to \(3.1\):

\[ 0.0314 \approx 3.1 \times 10^{-2} \]

### Final Answer
Thus, the answer in correct scientific notation is:

\[ 3.1 \times 10^{-2} \]