Final answer:
To evaluate the numerical expressions, follow the order of operations (PEMDAS). The corresponding values are 18, -9, and 75.
Step-by-step explanation:
To evaluate the given numerical expressions, we need to follow the order of operations, which is also known as PEMDAS. The acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's evaluate each expression step-by-step:
- 6 + 3 × 4 = 6 + 12 = 18
- (6 + 3) ÷ (4 - 5) = 9 ÷ (-1) = -9
- 6 + 23 × 3 = 6 + 69 = 75