Solve: 2×(3+½×8) Using Order of Operations

$2\times(3+\frac{1}{2}\times8)=\text{ ?}$

According to the order of operations, parentheses take precedence over everything else.

Therefore, we will first solve the multiplication and then addition within parenthesis.

To make solving the multiplication exercise easier, we will convert 8 into a simple fraction:

$2\times(3+\frac{1}{2}\times\frac{8}{1})=2\times(3+\frac{8}{2})=2\times(3+4)$

Now we will solve the addition exercise inside the parentheses and finally multiply to get our answer:

$2\times7=14$