Final answer:
The expression 4 + 8 / 2 x (6 - 3) follows the order of operations: Parentheses, Multiplication, Division, and then Addition. Calculating step by step, the answer is 16.
Step-by-step explanation:
To solve the mathematical expression 4 + 8 ÷ 2 x (6 - 3), we need to follow the order of operations, which in mathematics is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, we calculate any operations within parentheses, then proceed with any exponents (although there are none in this case), and then perform multiplication and division from left to right, followed by addition and subtraction from left to right.
Let's solve the expression step by step:
Calculate the expression within the parentheses (6 - 3) = 3.
Perform the division: 8 ÷ 2 = 4.
Perform the multiplication: 4 x 3 = 12.
Finally, perform the addition: 4 + 12 = 16.
The final answer to the expression is 16.