Trace an Arithmetic Expression in Code

1) Read the expression carefully

When tracing an arithmetic expression in code, your job is to follow the order of operations exactly as the program would. Start by identifying the numbers, operators, and any parentheses.

2) Evaluate step by step

Use the standard order of operations:

1. Work inside parentheses first.
2. Handle multiplication and division before addition and subtraction.
3. If operations are at the same level, move left to right.

Write down each intermediate result so you do not skip a step. If the expression includes repeated calculations, keep the result from each step and substitute it into the next line.

3) Simplify the final result

Continue until only one value remains. That value is the simplified answer to the traced expression.

4) Check your work

A good check is to recompute the expression more slowly or verify that each step followed the correct order. If you used parentheses or a left-to-right step incorrectly, the final value will change. Also make sure signs are handled correctly, especially with subtraction.

Helpful habit

If the expression is long, rewrite it in a vertical sequence with one operation per line. This makes it easier to trace accurately and reduces mistakes.