Order of Evaluation in an Expression

When evaluating an expression, there is a specific order in which the operators and operands are processed. This order is known as the order of evaluation or precedence. The order of evaluation is important because it can affect the result of the expression.

The order of evaluation is determined by the rules of operator precedence and associativity. In general, the following order is used:

1. Parentheses - expressions inside parentheses are evaluated first
2. Exponentiation - exponentiation is evaluated next
3. Multiplication and Division - multiplication and division are evaluated next, from left to right
4. Addition and Subtraction - addition and subtraction are evaluated last, from left to right

Order of Brackets

When an expression contains brackets, the brackets are evaluated before the operators inside the brackets. There are three types of brackets: [], (), and {}. The order in which they are evaluated is as follows:

1. Parentheses - expressions inside parentheses are evaluated first
2. Brackets - expressions inside brackets are evaluated next, from left to right
3. Braces - expressions inside braces are evaluated last, from left to right

Therefore, the correct order of brackets is ( ), [ ], { } or (), {}, [].

Answer

According to the rules of operator precedence and bracket evaluation, the correct order of brackets is:

1. Parentheses - ()
2. Braces - {}
3. Brackets - []

Therefore, option D: (), {}, [] is the correct order of brackets used while evaluating an expression.