The value of `0.008 xx 0.01 xx 0.72 div (0.12 xx 0.0004)` is :

Options

A. 1.2
B. 0.12
C. 0.012
D. 1.02

Answer

To solve the expression \( \frac{0.008 \times 0.01 \times 0.72}{0.12 \times 0.0004} \), we will break it down step by step.

### Step 1: Convert the decimal numbers to scientific notation.
- \( 0.008 = 8 \times 10^{-3} \)
- \( 0.01 = 1 \times 10^{-2} \)
- \( 0.72 = 72 \times 10^{-2} \)
- \( 0.12 = 12 \times 10^{-2} \)
- \( 0.0004 = 4 \times 10^{-4} \)

### Step 2: Substitute the scientific notation into the expression.
Now, we can rewrite the expression using scientific notation:
\[ \frac{(8 \times 10^{-3}) \times (1 \times 10^{-2}) \times (72 \times 10^{-2})}{(12 \times 10^{-2}) \times (4 \times 10^{-4})} \]

### Step 3: Simplify the numerator.
Calculating the numerator:
\[ 8 \times 1 \times 72 = 576 \]
And for the powers of ten:
\[ 10^{-3} \times 10^{-2} \times 10^{-2} = 10^{-7} \]
So, the numerator becomes:
\[ 576 \times 10^{-7} \]

### Step 4: Simplify the denominator.
Calculating the denominator:
\[ 12 \times 4 = 48 \]
And for the powers of ten:
\[ 10^{-2} \times 10^{-4} = 10^{-6} \]
So, the denominator becomes:
\[ 48 \times 10^{-6} \]

### Step 5: Combine the results.
Now, we can combine the numerator and denominator:
\[ \frac{576 \times 10^{-7}}{48 \times 10^{-6}} = \frac{576}{48} \times \frac{10^{-7}}{10^{-6}} \]
Calculating the fraction:
\[ \frac{576}{48} = 12 \]
And for the powers of ten:
\[ \frac{10^{-7}}{10^{-6}} = 10^{-1} \]
So, we have:
\[ 12 \times 10^{-1} = 1.2 \]

### Final Answer:
The value of \( \frac{0.008 \times 0.01 \times 0.72}{0.12 \times 0.0004} \) is \( 1.2 \).

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