The value of `(3.157 xx 4126 xx 3.198)/(63.972 xx 2835.121)` is closest to

Options

A. `0.002`
B. `0.02`
C. `0.2`
D. 2

Answer

To solve the problem, we need to calculate the value of the expression \((3.157 \times 4126 \times 3.198) / (63.972 \times 2835.121)\) and find the closest approximate value.

### Step-by-Step Solution:

1. **Approximate the Numbers**:
- Approximate \(3.157\) to \(3.16\) (for easier calculations).
- Approximate \(4126\) to \(4100\).
- Approximate \(3.198\) to \(3.20\).
- Approximate \(63.972\) to \(64\).
- Approximate \(2835.121\) to \(2840\).

2. **Calculate the Numerator**:
- Now, calculate the numerator:
\[ 3.16 \times 4100 \times 3.20 \]
- First, calculate \(3.16 \times 4100\):
\[ 3.16 \times 4100 \approx 12956 \]
- Then, multiply by \(3.20\):
\[ 12956 \times 3.20 \approx 41440 \]

3. **Calculate the Denominator**:
- Now, calculate the denominator:
\[ 64 \times 2840 \]
- Calculate:
\[ 64 \times 2840 \approx 18176 \]

4. **Divide the Numerator by the Denominator**:
- Now, divide the numerator by the denominator:
\[ \frac{41440}{18176} \]
- This can be simplified:
\[ \frac{41440 \div 64}{18176 \div 64} = \frac{648.75}{284} \approx 2.28 \]

5. **Final Approximation**:
- The value \(2.28\) is closest to \(2.3\).

### Conclusion:
The value of \((3.157 \times 4126 \times 3.198) / (63.972 \times 2835.121)\) is closest to \(2.3\).