`58.326 xx 463.9 xx 0.0081 ` is the same as

Options

A. `5.8326 xx 4.639 xx 8.1 `
B. `5.8326 xx 4.639 xx 0.81 `
C. `58326 xx 4639 xx 0.0000081`
D. None of these

Answer

To solve the problem `58.326 x 463.9 x 0.0081`, we need to express it in a different form by shifting the decimal points. Let's break it down step by step.

### Step 1: Analyze the first number (58.326)
The number `58.326` can be expressed as:
\[ 58.326 = 5.8326 \times 10 \]
This means we have shifted the decimal point one place to the left.

**Hint:** To shift the decimal point to the left, divide the number by 10.

### Step 2: Analyze the second number (463.9)
The number `463.9` can be expressed as:
\[ 463.9 = 4.639 \times 100 \]
This means we have shifted the decimal point two places to the left.

**Hint:** To shift the decimal point to the left by two places, divide the number by 100.

### Step 3: Analyze the third number (0.0081)
The number `0.0081` can be expressed as:
\[ 0.0081 = 8.1 \times 0.001 \]
This means we have shifted the decimal point three places to the right.

**Hint:** To shift the decimal point to the right, multiply the number by 1000 (or \(10^3\)).

### Step 4: Combine the expressions
Now we can combine all these expressions:
\[ 58.326 \times 463.9 \times 0.0081 = (5.8326 \times 10) \times (4.639 \times 100) \times (8.1 \times 0.001) \]

### Step 5: Simplify the expression
Now, we can simplify the multiplication:
\[ = 5.8326 \times 4.639 \times 8.1 \times (10 \times 100 \times 0.001) \]
\[ = 5.8326 \times 4.639 \times 8.1 \times 1000 \]

### Step 6: Final Result
Thus, the expression `58.326 x 463.9 x 0.0081` can be rewritten as:
\[ 5.8326 \times 4.639 \times 8.1 \times 1000 \]

### Conclusion
The original expression is equivalent to:
\[ 5.8326 \times 4.639 \times 8.1 \times 1000 \]