Find the sum of:
`2/10+2/1000-2/100+2/10000`

Options

A. 0.1088
B. 0.1288
C. 1.0822
D. 0.1822

Answer

To find the sum of the expression \( \frac{2}{10} + \frac{2}{1000} - \frac{2}{100} + \frac{2}{10000} \), we will convert each term into decimal form and then perform the addition and subtraction.

### Step-by-step Solution:

1. **Convert each fraction to decimal:**
- \( \frac{2}{10} = 0.2 \)
- \( \frac{2}{100} = 0.02 \)
- \( \frac{2}{1000} = 0.002 \)
- \( \frac{2}{10000} = 0.0002 \)

2. **Rewrite the expression using decimal values:**
\[ 0.2 + 0.002 - 0.02 + 0.0002 \]

3. **Combine the positive terms:**
- First, add \( 0.2 \) and \( 0.002 \):
\[ 0.2 + 0.002 = 0.202 \]

4. **Subtract the negative term:**
- Now, subtract \( 0.02 \) from \( 0.202 \):
\[ 0.202 - 0.02 = 0.182 \]

5. **Add the last term:**
- Finally, add \( 0.0002 \):
\[ 0.182 + 0.0002 = 0.1822 \]

### Final Answer:
The sum of the given expression is \( 0.1822 \).