`9.27//41`= (consider significant digits)

Options

A. `0.226 `
B. `0.23`
C. `0.2`
D. `0.2261`

Answer

To solve the problem \( \frac{9.27}{41} \) and consider significant digits, we will follow these steps:

### Step 1: Identify Significant Figures
First, we need to identify the number of significant figures in each number involved in the calculation.

- The number 9.27 has **three significant figures** (9, 2, and 7).
- The number 41 has **two significant figures** (4 and 1).

### Step 2: Perform the Division
Now, we perform the division:

\[ \frac{9.27}{41} = 0.2263170732 \ldots \]

### Step 3: Determine the Significant Figures for the Result
Since we are required to consider significant figures, we must round our result to the least number of significant figures from the numbers we used in the calculation. The number with the least significant figures is 41, which has **two significant figures**.

### Step 4: Round the Result
Now we round 0.2263170732 to two significant figures:

- The first two significant figures in 0.226 are 2 and 2.
- To round it, we look at the third significant figure, which is 6. Since 6 is greater than 5, we round up the last significant figure (2) to 3.

Thus, rounding 0.226 gives us:

\[ 0.23 \]

### Final Answer
The final answer, considering significant figures, is:

\[ \boxed{0.23} \]

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