Which phrase best describes the ordering of evaluations in arithmetic expressions that involve parentheses, exponentiation, multiplication/division, and addition/subtraction?

Which phrase best describes the ordering of evaluations in arithmetic expressions that involve parentheses, exponentiation, multiplication/division, and addition/subtraction?

• A. Operator precedence
• B. Order of operations
• C. The order of calculations in a program
• D. Calculation priority rules

Answer: (C)

The evaluations follow a fixed sequence known as the order of operations. This rule tells us exactly which parts of an expression to compute first so we get a consistent result every time. The typical order is: handle any expressions in parentheses first, then deal with exponents, then perform multiplication and division from left to right, and finally do addition and subtraction from left to right. This sequence is also called operator precedence, since it defines which operators take priority when combining numbers. So, expressions are not just calculated left to right; they’re parsed according to this hierarchy. For example, in 3 + 4 × 2, the multiplication happens first, giving 3 + 8 = 11, not (3 + 4) × 2. Some contexts also phrase this idea as the order of calculations in a program, but the standard, widely used term for the concept is the order of operations (or operator precedence). A helpful mnemonic to remember the order is PEMDAS (or BODMAS in some regions).

The evaluations follow a fixed sequence known as the order of operations. This rule tells us exactly which parts of an expression to compute first so we get a consistent result every time. The typical order is: handle any expressions in parentheses first, then deal with exponents, then perform multiplication and division from left to right, and finally do addition and subtraction from left to right. This sequence is also called operator precedence, since it defines which operators take priority when combining numbers.

So, expressions are not just calculated left to right; they’re parsed according to this hierarchy. For example, in 3 + 4 × 2, the multiplication happens first, giving 3 + 8 = 11, not (3 + 4) × 2. Some contexts also phrase this idea as the order of calculations in a program, but the standard, widely used term for the concept is the order of operations (or operator precedence). A helpful mnemonic to remember the order is PEMDAS (or BODMAS in some regions).