Final answer:
To evaluate the expression (2 - 3)4(4) - 9 ÷ 3, follow the order of operations (PEMDAS). Simplify within parentheses, perform multiplication and division from left to right, and then perform addition and subtraction from left to right. The value of the expression is -47.
Step-by-step explanation:
To evaluate the expression (2 - 3)4(4) - 9 ÷ 3, we need to follow the order of operations, which is also known as PEMDAS.
P = Parentheses (simplify within parentheses first)
E = Exponents (simplify any exponents)
M/D = Multiplication and Division (perform them from left to right)
A/S = Addition and Subtraction (perform them from left to right)
Now let's evaluate the expression step by step:
- (2 - 3)4(4) - 9 ÷ 3
- (-1)4(4) - 9 ÷ 3 (simplify within the parentheses)
- -44 - 9 ÷ 3 (multiply -1 by 4)
- -44 - 3 (divide 9 by 3)
- -47 (subtract 3 from -44)
Therefore, the value of the expression (2 - 3)4(4) - 9 ÷ 3 is -47.