Four-Step Manipulations

This order of operations worksheet gives students additional practice evaluating four-step numerical expressions using PEMDAS. Learners work through problems that include parentheses, multiplication, and addition or subtraction in varied sequences, strengthening flexibility and accuracy with multi-step computation.

Instructional Objectives

• Skill Focus (Grades 5-7): Evaluate four-step numerical expressions by correctly applying the order of operations.
• Conceptual Understanding (Grades 5-7): Recognize how parentheses and multiplicative reasoning determine which operations occur first.
• Algebraic Reasoning (Grades 6-7): Analyze expression structure to apply operations in the correct sequence across varied formats.
• Curriculum Alignment (Grades 5-7): Supports multi-step numerical evaluation, order of operations mastery, and structured problem-solving standards.

The varied sequencing of operations prevents pattern-based shortcuts and encourages students to rely on reasoning rather than habit. Step-by-step work helps learners internalize operational hierarchy and avoid common PEMDAS errors as expressions become more complex.

Learning Benefits

• Builds fluency and confidence with four-step expressions
• Strengthens attention to structure and operational order
• Encourages organized, step-by-step mathematical work
• Effective for practice, reinforcement, or skill review

This printable worksheet provides targeted practice that helps students master four-step manipulations, supporting long-term accuracy and confidence with the order of operations.

This worksheet is part of our 4-Step Order of Operations Worksheets collection.