If `x=10.0pm0.1` and `y=10.0pm0.1`, then 2x-2y is equal to

Options

A. `(0.0pm0.1)`
B. Zero
C. `(0.0pm0.4)`
D. `(20pm0.2)`

Answer

To solve the problem where \( x = 10.0 \pm 0.1 \) and \( y = 10.0 \pm 0.1 \), and we need to find \( 2x - 2y \), we can follow these steps:

### Step 1: Calculate \( 2x \)
Given \( x = 10.0 \pm 0.1 \), we can calculate \( 2x \):
\[ 2x = 2 \times (10.0 \pm 0.1) = 20.0 \pm (2 \times 0.1) = 20.0 \pm 0.2 \]

### Step 2: Calculate \( 2y \)
Similarly, for \( y = 10.0 \pm 0.1 \):
\[ 2y = 2 \times (10.0 \pm 0.1) = 20.0 \pm (2 \times 0.1) = 20.0 \pm 0.2 \]

### Step 3: Calculate \( 2x - 2y \)
Now we can find \( 2x - 2y \):
\[ 2x - 2y = (20.0 \pm 0.2) - (20.0 \pm 0.2) \]

### Step 4: Simplify the expression
When we subtract the two quantities, the absolute values cancel out:
\[ 2x - 2y = 20.0 - 20.0 \pm (0.2 + 0.2) = 0.0 \pm 0.4 \]

### Final Result
Thus, the result of \( 2x - 2y \) is:
\[ 0.0 \pm 0.4 \]

### Summary
The final answer is \( 0.0 \pm 0.4 \).

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