The value of 7.7 `-:` 100 = ?

Options

A. `0.0077`
B. 77
C. `0.77`
D. `0.077`

Answer

To solve the problem of finding the value of \( 7.7 \div 100 \), we can follow these steps:

### Step-by-Step Solution:

1. **Write the Division as a Fraction**:
\[ 7.7 \div 100 = \frac{7.7}{100} \]

2. **Convert the Decimal to a Fraction**:
Since \( 7.7 \) has one decimal place, we can express it as:
\[ 7.7 = \frac{77}{10} \]
Therefore, we can rewrite our fraction:
\[ \frac{7.7}{100} = \frac{\frac{77}{10}}{100} \]

3. **Simplify the Fraction**:
To simplify \( \frac{\frac{77}{10}}{100} \), we can multiply by the reciprocal of 100:
\[ \frac{77}{10} \times \frac{1}{100} = \frac{77}{1000} \]

4. **Convert the Fraction to Decimal**:
Now, we convert \( \frac{77}{1000} \) to decimal form. Since the denominator is 1000, we can express it as:
\[ 77 \div 1000 = 0.077 \]

5. **Final Answer**:
Thus, the value of \( 7.7 \div 100 \) is:
\[ 0.077 \]

### Conclusion:
The answer is \( 0.077 \).