Sure, let's break down the expression [tex]\(2 + 2 - 2 \times 2\)[/tex] step by step:
1. Identify the order of operations:
According to the order of operations (often remembered by the acronym PEMDAS/BODMAS), we first perform multiplication and division, from left to right, before addition and subtraction.
2. Perform the multiplication first:
The expression has a multiplication part [tex]\(2 \times 2\)[/tex]. Let's calculate this part first.
[tex]\[
2 \times 2 = 4
\][/tex]
3. Rewrite the expression after multiplication:
Substitute the result of the multiplication back into the original expression:
[tex]\[
2 + 2 - 4
\][/tex]
4. Perform the addition and subtraction from left to right:
First, we handle the addition:
[tex]\[
2 + 2 = 4
\][/tex]
Now, we are left with:
[tex]\[
4 - 4
\][/tex]
5. Finally, perform the subtraction:
[tex]\[
4 - 4 = 0
\][/tex]
Therefore, the result of the expression [tex]\(2 + 2 - 2 \times 2\)[/tex] is [tex]\(0\)[/tex].