To evaluate the expression 32 + 7 – 2 × 4 ÷ 6 + 3, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. **Identify operations**: The expression contains addition, subtraction, multiplication, and division.
2. **Perform multiplication and division first**: Start with the multiplication and division from left to right:
- -2 × 4 = -8
- -8 ÷ 6 = -1.3333 (approximately)
3. **Rewrite the expression**: So now the expression looks like this: 32 + 7 – 1.3333 + 3.
4. **Perform addition and subtraction from left to right**:
- 32 + 7 = 39
- 39 – 1.3333 = 37.6667
- 37.6667 + 3 = 40.6667
5. **Final result**: Therefore, the evaluated result of the expression is approximately 40.67.