The value of `(5.86 xx 3.96)/(2.86)` will be equal to

Options

A. 8
B. 8.11
C. 8.1
D. 8.113

Answer

To solve the question `(5.86 × 3.96) / 2.86`, we will follow these steps:

### Step 1: Perform the multiplication
First, we multiply the two numbers in the numerator:
\[ 5.86 \times 3.96 \]
Calculating this gives:
\[ 5.86 \times 3.96 = 23.1936 \]

### Step 2: Perform the division
Next, we divide the result from Step 1 by the denominator:
\[ \frac{23.1936}{2.86} \]
Calculating this gives:
\[ \frac{23.1936}{2.86} \approx 8.113846 \]

### Step 3: Determine significant figures
Now, we need to round our answer to the appropriate number of significant figures. We look at the numbers involved:
- \(5.86\) has **3 significant figures**.
- \(3.96\) has **3 significant figures**.
- \(2.86\) has **3 significant figures**.

Since all numbers have the same number of significant figures (3), our final answer should also be rounded to **3 significant figures**.

### Step 4: Round the answer
The result from Step 2 is \(8.113846\). Rounding this to 3 significant figures gives:
\[ 8.11 \]

### Final Answer
Thus, the value of \((5.86 \times 3.96) / 2.86\) is approximately **8.11**.

### Summary
The correct option is **B: 8.11**.

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