`54.327 xx 357.2 xx 0.0057` is the same as:

Options

A. `5.4327 xx 3.572xx 5.7`
B. `5.4327 xx 3.572xx 0.57`
C. `54327 xx 3572 xx0.0000057`
D. None of these

Answer

To solve the expression \( 54.327 \times 357.2 \times 0.0057 \), we can convert each decimal into a fraction and then multiply them together. Let's break it down step by step.

### Step 1: Convert each decimal to a fraction
1. **Convert \( 54.327 \)**:
\[ 54.327 = \frac{54327}{1000} \]
(since there are 3 digits after the decimal point)

2. **Convert \( 357.2 \)**:
\[ 357.2 = \frac{3572}{10} \]
(since there is 1 digit after the decimal point)

3. **Convert \( 0.0057 \)**:
\[ 0.0057 = \frac{57}{10000} \]
(since there are 4 digits after the decimal point)

### Step 2: Combine the fractions
Now we can combine these fractions:
\[ 54.327 \times 357.2 \times 0.0057 = \frac{54327}{1000} \times \frac{3572}{10} \times \frac{57}{10000} \]

### Step 3: Multiply the numerators and denominators
1. **Numerator**:
\[ 54327 \times 3572 \times 57 \]

2. **Denominator**:
\[ 1000 \times 10 \times 10000 = 1000000000 \]

### Step 4: Calculate the total number of decimal places
Now, we need to count the total number of decimal places from the original numbers:
- \( 54.327 \) has 3 decimal places.
- \( 357.2 \) has 1 decimal place.
- \( 0.0057 \) has 4 decimal places.

Total decimal places = \( 3 + 1 + 4 = 8 \).

### Step 5: Write the final answer
The result of the multiplication will have 8 decimal places, so we can express our answer as:
\[ \frac{54327 \times 3572 \times 57}{1000000000} \text{ with 8 decimal places.} \]

### Conclusion
Thus, the expression \( 54.327 \times 357.2 \times 0.0057 \) can be represented as a fraction with a denominator of \( 1000000000 \) and the result will have 8 decimal places.

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