Solve: 6×(3+5×2-13) Using Order of Operations

$6\times(3+5\times2-13)=$

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of these,

We will start by simplifying the expression in parentheses, since multiplication comes before addition and subtraction, we will first perform the multiplication in this expression and then the addition and subtraction operations in the expression, in the final stage we will perform the multiplication outside the parentheses:

$6\cdot(3+5\cdot2-13)= \\ 6\cdot(3+10-13)= \\ 6\cdot0= \\ 0$In the final stage we remembered that multiplying any number by 0 gives the result 0,

Therefore the correct answer is answer D.