Let's solve the given expression step-by-step using the order of operations or PEMDAS:
1. Parentheses (P) - Perform operations inside parentheses first.
2. Exponents (E) - Evaluate exponents (there are none in this problem).
3. Multiplication and Division (MD) - Perform from left to right.
4. Addition and Subtraction (AS) - Perform from left to right.
Given the expression:
[tex]$
4 - (6 \times 2 \div 2) + 2
$[/tex]
1. Evaluate inside the parentheses first:
[tex]$ 6 \times 2 = 12 $[/tex]
2. Continue inside the parentheses with division:
[tex]$ 12 \div 2 = 6 $[/tex]
So, the expression simplifies to:
[tex]$
4 - 6 + 2
$[/tex]
3. Perform subtraction and addition from left to right:
[tex]$ 4 - 6 = -2 $[/tex]
[tex]$ -2 + 2 = 0 $[/tex]
Therefore, the final answer is
[tex]$0$[/tex]
