A worksheet on the order of operations with rational numbers (positive and negative integers, fractions, mixed numbers and decimals). All four operations and exponents are included in the exercises. There are 24 more challenging problems on this topic. Detailed solutions are included.

What’s Included?

• Comprehensive Rational Number Practice: Students will evaluate 24 complex, multi-step expressions that integrate positive and negative integers, fractions, mixed numbers, decimals, powers, and roots.
• Scaffolded Challenge Levels: Problems progress seamlessly from basic integer operations to multi-layered fractional expressions and division bars that require careful execution of PEMDAS / BODMAS / BEDMAS.
• Full Step-by-Step Answer Key: A complete teacher solutions guide showing every single intermediate simplification step, common denominator calculation, and sign change—perfect for quick marking, self-checking, or sub plans.

Key Features & Benefits

• No-Prep Needed: Just print and distribute! Perfect for a main lesson activity, guided practice packet, homework assignment, or a formal assessment.
• Clear Formatting: Clean, grid-based layout gives students plenty of designated workspace to show their steps clearly within each box.
• Rigorous Practice: Challenges students to handle tricky operations, including negative bases raised to exponents, fractional bases, and multi-bracket expressions.
• Broad Alignment: Ideal for Grade 7, Grade 8, Pre-Algebra, Algebra 1, and Integrated Math students mastering real number operations.

Skills Covered

• Order of Operations (PEMDAS / BODMAS / BEDMAS)
• Operations with Positive and Negative Fractions & Mixed Numbers
• Operations with Decimals
• Evaluating Exponents and Powers with Negative Bases
• Simplifying Complex Fractions & Nested Parentheses