5+5×5!

To solve the expression \(5 + 5 \times 5!\), we need to follow the order of operations, which is typically parenthesis, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). This is commonly referred to as PEMDAS.

1. Calculate the factorial: \[ 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \]

2. Now substitute \(5!\) back into the expression: \[ 5 + 5 \times 120 \]

3. Perform the multiplication: \[ 5 \times 120 = 600 \]

4. Now substitute that back into the expression: \[ 5 + 600 \]

5. Lastly, perform the addition: \[ 5 + 600 = 605 \]

So, the final result is: \[ \boxed{605} \]