Order of Operations With Parentheses Worksheets
Adding parentheses turns a precedence exercise into a nesting exercise. The common failure is not ignorance of the rule but losing track of position in a long expression, which is why these sheets give each problem room for working.
Order of Operations With Parentheses
Name:Date:Score:
- 1(10 + 4) × 8 − 7 =
- 2(9 + 5) × 6 − 6 =
- 3(8 + 3) × 8 − 8 =
- 4(8 + 7) × 6 − 10 =
- 5(3 + 6) × 8 − 5 =
- 6(6 + 7) × 8 − 2 =
- 7(5 + 4) × 3 − 2 =
- 8(6 + 2) × 2 − 9 =
- 9(10 + 8) × 8 − 12 =
- 10(8 + 3) × 8 − 12 =
- 11(10 + 4) × 5 − 11 =
- 12(10 + 6) × 5 − 6 =
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Answer key (12 answers)
- 1. 105
- 2. 78
- 3. 80
- 4. 80
- 5. 67
- 6. 102
- 7. 25
- 8. 7
- 9. 132
- 10. 76
- 11. 59
- 12. 74
What to watch for when you grade this sheet
- Evaluating the outer bracket before the inner one.
- Dropping a bracket when rewriting the expression on the next line.
- Applying an exponent to the wrong term.
One thing that helps
Insist on rewriting the whole expression at each step rather than computing in place. It is slower and it is how long expressions get finished correctly.