To solve this expression we follow the order of operations, which is PEMDAS:
Parentheses
Exponents
Multiplication and Division
Addition and Subtraction
Given the expression:
2 + 2 × 2(2 + 5) ÷ 5
We first simplify within the parentheses:
2 + 2 × 2(7) ÷ 5
Now we perform the multiplication:
2 + 2 × 14 ÷ 5
Next, perform the division:
2 + 28 ÷ 5
Finally, add:
2 + 5.6 = 7.6
Therefore, the answer is 7.6.