What is the result of simplification of the expression `2.5 div 0.5 xx 0.1 -0.05 `?

Options

A. 0.45
B. 49.95
C. 0.25
D. 100

Answer

To simplify the expression `2.5 div 0.5 xx 0.1 - 0.05`, we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the operations**: The expression involves division, multiplication, and subtraction.
- Expression: `2.5 div 0.5 xx 0.1 - 0.05`

2. **Perform the division first**:
- Calculate `2.5 div 0.5`.
- \( 2.5 \div 0.5 = 5 \) (since 0.5 goes into 2.5 five times).

3. **Now, multiply the result by 0.1**:
- Take the result from the previous step and multiply by 0.1.
- \( 5 \times 0.1 = 0.5 \).

4. **Now, subtract 0.05 from the result**:
- Take the result from the multiplication and subtract 0.05.
- \( 0.5 - 0.05 = 0.45 \).

5. **Final result**: The simplified result of the expression is \( 0.45 \).

### Summary of Steps:
- **Step 1**: Perform the division: \( 2.5 \div 0.5 = 5 \).
- **Step 2**: Perform the multiplication: \( 5 \times 0.1 = 0.5 \).
- **Step 3**: Perform the subtraction: \( 0.5 - 0.05 = 0.45 \).