Evaluate : `56.7 div 0.03 - 89.8 + 20.0 xx 0.5`

Answer

To solve the expression `56.7 ÷ 0.03 - 89.8 + 20.0 × 0.5`, we will follow the order of operations, often referred to as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the Operations**: The expression consists of division, subtraction, addition, and multiplication. According to BODMAS, we will perform division and multiplication before addition and subtraction.

2. **Perform the Division**:
- We need to calculate `56.7 ÷ 0.03`.
- To simplify this, we can eliminate the decimal by multiplying both the numerator and the denominator by 100 (to shift the decimal point two places to the right).
- This gives us:
\[ 56.7 \div 0.03 = \frac{56.7 \times 100}{0.03 \times 100} = \frac{5670}{3} \]
- Now, calculate `5670 ÷ 3`:
\[ 5670 ÷ 3 = 1890 \]

3. **Perform the Multiplication**:
- Next, we calculate `20.0 × 0.5`:
\[ 20.0 × 0.5 = 10.0 \]

4. **Combine the Results**:
- Now substitute back into the expression:
\[ 1890 - 89.8 + 10.0 \]

5. **Perform the Addition**:
- First, we add `1890` and `10.0`:
\[ 1890 + 10.0 = 1900 \]

6. **Perform the Subtraction**:
- Finally, subtract `89.8` from `1900`:
\[ 1900 - 89.8 = 1810.2 \]

### Final Answer:
The final result of the expression `56.7 ÷ 0.03 - 89.8 + 20.0 × 0.5` is **1810.2**.