`0.2 +0.2 -0.2 -: 0.2 xx (0.2xx 0.2)` on simplification gives

Options

A. `0.36`
B. `9.56`
C. `27.2`
D. `27.2`

Answer

To simplify the expression \(0.2 + 0.2 - 0.2 \div 0.2 \times (0.2 \times 0.2)\), we will follow the order of operations (BODMAS/BIDMAS rules: Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Identify the expression**:
\[ 0.2 + 0.2 - 0.2 \div 0.2 \times (0.2 \times 0.2) \]

2. **Calculate the multiplication inside the brackets**:
\[ 0.2 \times 0.2 = 0.04 \]
Now the expression becomes:
\[ 0.2 + 0.2 - 0.2 \div 0.2 \times 0.04 \]

3. **Perform the division**:
\[ 0.2 \div 0.2 = 1 \]
Now the expression simplifies to:
\[ 0.2 + 0.2 - 1 \times 0.04 \]

4. **Calculate the multiplication**:
\[ 1 \times 0.04 = 0.04 \]
Now the expression becomes:
\[ 0.2 + 0.2 - 0.04 \]

5. **Perform the addition**:
\[ 0.2 + 0.2 = 0.4 \]
Now the expression is:
\[ 0.4 - 0.04 \]

6. **Perform the subtraction**:
\[ 0.4 - 0.04 = 0.36 \]

### Final Answer:
The simplified result of the expression \(0.2 + 0.2 - 0.2 \div 0.2 \times (0.2 \times 0.2)\) is \(0.36\).

---