Final answer:
The first operation to complete in the expression 24 ÷ 2 × 3 + 6 is the division by 2, followed by multiplication, and then addition, following the order of operations governed by PEMDAS.
Step-by-step explanation:
- To find the value of the expression 24 ÷ 2 × 3 + 6, you need to follow the order of operations, often remembered by the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
- Since there are no parentheses or exponents in this expression, we move to multiplication and division.
- According to PEMDAS, we should perform multiplication and division before addition and subtraction and also from left to right if they appear in the same sequence.
- The first operation to complete is the division by 2. The expression will become 12 × 3 + 6 after this division. Next, we perform the multiplication, changing the expression to 36 + 6. Lastly, we add 6 to complete the computation, which results in the final value of 42.
- This step-by-step process is essential for correctly evaluating mathematical expressions and ensuring accurate results.