| Equation | Explanation |
| 3 * (5 - 3 * 8 + 4) | parenthesis first, within parenthesis, * before + or - |
| 3 * (5 - 24 + 4) | if same level (+ and -), work from left to right |
| 3 * (-19 + 4) | parenthesis first |
| 3 * (-15 ) | |
| -45 | |
| 3 + (5 - 3) * (8 + 4) | parenthesis first, left to right |
| 3 + 2 * (8 + 4) | parenthesis first |
| 3 + 2 * 12 | multiplication before addition |
| 3 + 24 | |
| 27 | |
| -3 * (6 * (3 - 8) + 10) | inner-most parenthesis first |
| -3 * (6 * (-5) + 10) | multiplication before addition |
| -3 * (-30 + 10) | parenthesis first |
| -3 * (-20) | |
| 60 | |
| 18 Mod 4 + 2 ^ 3 | Exponentiation first |
| 18 Mod 4 + 8 | Mod before addition |
| 2 + 8 | |
| 10 | |
| 5* 10 \ 3 -4 | Multiplication before division |
| 50 \ 3 -4 | Division before minus |
| 16 - 4 | |
| 12 |
Follow through each example and make sure you understand how to get the answer.