Final answer:
The last operation to be completed in the given problem, according to the order of operations (PEMDAS), is addition (C).
Step-by-step explanation:
To determine which operation would be completed last in the math problem 6(10 ÷ 2) + 6 - 12 x 2, we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), where multiplication and division are treated as equal in rank and are done from left to right, followed by addition and subtraction.
The first operation to complete is the division within the parentheses: 10 ÷ 2, then we proceed with the multiplication 6 x (result of 10 ÷ 2). After that, we do the multiplication 12 x 2. We then move to the addition and subtraction processes. Since addition and subtraction also have the same rank, we perform them from left to right. As a result, the last operation you would complete is addition.
The final expression after calculating everything before it would look like this:
some number + 6 - another number, where you would do the subtraction first, leaving the addition as the last step to carry out.