Find the products : `0.5 xx 0.05 xx 0.005 xx 500`

Options

A. 0.0625
B. 0.00625
C. 0.06255
D. 0.625

Answer

To find the product of \(0.5 \times 0.05 \times 0.005 \times 500\), we can follow these steps:

### Step 1: Convert the decimals to fractions
Convert each decimal to a fraction for easier multiplication:
- \(0.5 = \frac{5}{10} = \frac{1}{2}\)
- \(0.05 = \frac{5}{100} = \frac{1}{20}\)
- \(0.005 = \frac{5}{1000} = \frac{1}{200}\)

Now we have:
\[ 0.5 \times 0.05 \times 0.005 = \frac{1}{2} \times \frac{1}{20} \times \frac{1}{200} \]

### Step 2: Multiply the fractions
Now, multiply the fractions together:
\[ \frac{1}{2} \times \frac{1}{20} \times \frac{1}{200} = \frac{1 \times 1 \times 1}{2 \times 20 \times 200} \]

Calculating the denominator:
\[ 2 \times 20 = 40 \]
\[ 40 \times 200 = 8000 \]

So we have:
\[ \frac{1}{8000} \]

### Step 3: Multiply by 500
Now, we need to multiply this result by 500:
\[ \frac{1}{8000} \times 500 = \frac{500}{8000} \]

### Step 4: Simplify the fraction
Now, simplify \(\frac{500}{8000}\):
\[ \frac{500 \div 500}{8000 \div 500} = \frac{1}{16} \]

### Step 5: Convert to decimal
Now, convert \(\frac{1}{16}\) to a decimal:
\[ \frac{1}{16} = 0.0625 \]

### Final Answer
Thus, the product \(0.5 \times 0.05 \times 0.005 \times 500 = 0.0625\).