Final answer:
To solve the expression 468−[64÷4×(9÷3−4−2)], perform the operations following the order of operations (PEMDAS). The value of the expression is 516.
Step-by-step explanation:
To solve the expression 468−[64÷4×(9÷3−4−2)], we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Solve inside the parentheses first. (9÷3−4−2) is equal to (3−4−2), which is equal to -3.
Step 2: Divide 64 by 4, resulting in 16.
Step 3: Multiply 16 by -3, giving us -48.
Step 4: Subtract -48 from 468, which equals 516.
So, the value of the expression 468−[64÷4×(9÷3−4−2)] is 516.