Final answer:
Arnold should first perform the operation 0.5 × 7, as it is the multiplication inside the parentheses in the denominator, following the order of operations, often remembered by the acronym PEMDAS. option B is correct answer.
Step-by-step explanation:
The student has been given a mathematical expression to simplify: (4.3 × 3+11)/(8.2-0.5 × 7)+6. According to the order of operations, which is also known by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right), the first operation Arnold should perform is multiplication. Thus, among the options provided, the correct one is 0.5 × 7. This is because within the parentheses in the denominator, multiplication should take precedence over subtraction.
Once the multiplication is complete, Arnold can continue with the other operations in the expression, following the order of operations:
Perform any operations inside parentheses.
Proceed with any exponents.
Carry out multiplication and division from left to right.
Finally, perform addition and subtraction from left to right.
To achieve the correct answer, Arnold should repeat these steps and simplify the expression accordingly, and if possible, express numbers using the standard notation, as well as confirm that answers are reasonable and accurate.