Which of the following has the largest value?

Options

A. 0.001
B. `1/10000`
C. `1/(10^(6))`
D. `1/(10^(6))-:0.1`

Answer

To determine which of the given options has the largest value, we will convert each option into scientific notation and compare their values.

### Step-by-Step Solution:

1. **Identify the Options**:
- Option 1: 0.001
- Option 2: 1/10,000
- Option 3: 1/10^6
- Option 4: 1/(10^6 / 0.1)

2. **Convert Each Option to Scientific Notation**:
- **Option 1**:
\[ 0.001 = 1 \times 10^{-3} \]
- **Option 2**:
\[ \frac{1}{10,000} = \frac{1}{10^4} = 1 \times 10^{-4} \]
- **Option 3**:
\[ \frac{1}{10^6} = 1 \times 10^{-6} \]
- **Option 4**:
\[ \frac{1}{10^6 / 0.1} = \frac{0.1}{10^6} = \frac{1 \times 10^{-1}}{10^6} = 1 \times 10^{-1} \times 10^{-6} = 1 \times 10^{-7} \]

3. **List the Values in Scientific Notation**:
- Option 1: \( 10^{-3} \)
- Option 2: \( 10^{-4} \)
- Option 3: \( 10^{-6} \)
- Option 4: \( 10^{-7} \)

4. **Compare the Exponents**:
- The values are \( 10^{-3}, 10^{-4}, 10^{-6}, 10^{-7} \).
- The largest value corresponds to the least negative exponent.

5. **Determine the Largest Value**:
- The least negative exponent is \(-3\) from Option 1, which means:
\[ 10^{-3} > 10^{-4} > 10^{-6} > 10^{-7} \]
- Therefore, Option 1 has the largest value.

### Conclusion:
The option with the largest value is **Option 1: 0.001**.