`0.4 xx 0.4 xx 0.4 = ?`

Options

A. 6.4
B. 0.64
C. 0.064
D. none of these

Answer

To solve the problem \(0.4 \times 0.4 \times 0.4\), we can follow these steps:

### Step 1: Rewrite the decimal
First, we can express \(0.4\) as a fraction:
\[ 0.4 = \frac{4}{10} \]

### Step 2: Set up the multiplication
Now we can rewrite the multiplication:
\[ 0.4 \times 0.4 \times 0.4 = \left(\frac{4}{10}\right) \times \left(\frac{4}{10}\right) \times \left(\frac{4}{10}\right) \]

### Step 3: Multiply the fractions
Now, we multiply the numerators and the denominators:
\[ = \frac{4 \times 4 \times 4}{10 \times 10 \times 10} = \frac{64}{1000} \]

### Step 4: Convert back to decimal
Next, we convert \(\frac{64}{1000}\) back to a decimal:
\[ \frac{64}{1000} = 0.064 \]

### Final Answer
Thus, the result of \(0.4 \times 0.4 \times 0.4\) is:
\[ \boxed{0.064} \]

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