Which one of the following is a correct representation of the given mathematical expression in Java?

The mathematical expression in Java must maintain the correct order of operations, following the rules defined by arithmetic precedence. The most commonly used operations, in order of precedence, are parentheses, multiplication and division, followed by addition and subtraction. When a correct representation of a mathematical expression is needed, it’s essential to ensure that operations are performed in the intended order.

The correct answer captures the necessary operations and grouping accurately. It shows that the entire expression of "a - b / 2" is treated as a single unit before being divided by 2, using parentheses to enforce this grouping. This way, the subtraction between 'a' and the result of 'b / 2' is computed before applying the division by 2.

Other representations might modify the order of operations, thereby changing the calculation:

• The first choice performs division and modulus operations in a specific sequence that does not correspond to the desired grouping of operations.

• The second choice performs the subtraction after only considering 'b / 2', disregarding any further operations that should happen on the result of this subtraction.

• The third choice incorrectly divides 'b / 2' twice, which alters the intended arithmetic expression.

Thus, the accurate representation here ensures the expression closely mirrors the mathematical intention through