Add enough parentheses to the expression 3 + 4 / 2 - 7 3 + 4 / 2 - 7  so that the operations are evaluated in the following order: +, -, /.

To add enough parentheses to the expression $3 + 4 / 2 - 7$ so that the operations are evaluated in the order of addition (+), subtraction (-), and division (/), we can follow these steps:

1. Break Down the Problem

We need to arrange the operations so that:

• Addition is calculated first.
• Then subtraction.
• Finally, division.

2. Relevant Concepts

According to operator precedence:

• The division operator (/) has a higher precedence than both addition (+) and subtraction (-).
• Parentheses can be used to alter the order of operations.

3. Analysis and Detail

To achieve the desired order, we can encapsulate the addition and subtraction within parentheses, and place the division operation outside:

1. Start with the original expression: $3 + 4 / 2 - 7$
2. To ensure addition is calculated first, we can rewrite it as: $(3 + 4) / (2 - 7)$

4. Verify and Summarize

Let's verify briefly:

• Calculate $3 + 4$ to get $7$.
• Calculate $2 - 7$ to get $-5$.
• So, the expression becomes $7 / -5$.

Final Answer

The expression with parentheses added is: $(3 + 4) / (2 - 7)$