Free Printable WorksheetMathGrade 5Math Curriculum5.80

5.80 Identify and Correct Mistakes Involving Order of Operations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.80 Identify and Correct Mistakes Involving Order of Operations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct method that correctly identifies an order-of-operations error and provides the correct evaluation. Choose the step-by-step solution that follows the order of operations and uses grouping symbols correctly. Corresponding standards: CCSS 5.OA.A.1; CCSS MP3.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 5

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 5.80 Identify and Correct Mistakes Involving Order of Operations skill assessments:

Problem 1Difficulty: Mastery

Olivia evaluated: (26 × 21 − (29 + 28)) ÷ 3 + 8 × 3. Olivia's work: (26×21-29+28)÷3+8×3 = 205. Which choice correctly identifies the order-of-operations mistake and gives the correct value?

AError: Ignored parentheses around (c + d); add c and d before subtracting. Correct value: 187.

BError: Ignored parentheses around (c + d); add c and d before subtracting. Correct value: 205.

CError: Ignored the parentheses; compute inside parentheses first. Correct value: 146.

DError: Changed the grouping; you cannot move operations into or out of parentheses. Correct value: 187.

Solution & Explanation:Use order of operations for (26 × 21 − (29 + 28)) ÷ 3 + 8 × 3: do parentheses first, then × and ÷ left to right, then + and − left to right. This gives 187. The error was: Ignored parentheses around (c + d); add c and d before subtracting.

Problem 2Difficulty: Mastery

Amir evaluated: 3 + (9 × 18 − 84) ÷ 6 × 2 − 16. Amir's work: 3+(9×18-84)÷(6×2)-16 = −7. Which choice correctly identifies the order-of-operations mistake and gives the correct value?

AError: Did ÷ and × from right to left; after parentheses, do ÷e then ×g (left to right). Correct value: -7.

BError: Ignored the parentheses; compute inside parentheses first. Correct value: 13.

CError: Did ÷ and × from right to left; after parentheses, do ÷e then ×g (left to right). Correct value: 13.

DError: Did addition/subtraction before multiplication/division. Correct value: -43.

Solution & Explanation:Use order of operations for 3 + (9 × 18 − 84) ÷ 6 × 2 − 16: do parentheses first, then × and ÷ left to right, then + and − left to right. This gives 13. The error was: Did ÷ and × from right to left; after parentheses, do ÷e then ×g (left to right).

Problem 3Difficulty: Mastery

Lucas evaluated: (18 + 4 × (25 − 5)) ÷ 7 + 23. Lucas's work: (18+4)×(25-5)÷7+23 = 85. Which choice correctly identifies the order-of-operations mistake and gives the correct value?

AError: Added a and b first; b must multiply (c − d) before adding to a. Correct value: 85.

BError: Added a and b first; b must multiply (c − d) before adding to a. Correct value: 37.

CError: Did addition/subtraction before multiplication/division. Correct value: 39.

DError: Changed the grouping; you cannot move operations into or out of parentheses. Correct value: 37.

Solution & Explanation:Use order of operations for (18 + 4 × (25 − 5)) ÷ 7 + 23: do parentheses first, then × and ÷ left to right, then + and − left to right. This gives 37. The error was: Added a and b first; b must multiply (c − d) before adding to a.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.80 (Identify and Correct Mistakes Involving Order of Operations).