Printable Decimals and Order of Operations Mastery Worksheet

This comprehensive Grade 6-8 math worksheet empowers students to master multi-digit decimals and the order of operations. By progressing from basic arithmetic to complex PEMDAS expressions and real-world word problems, learners build the computational fluency and logical reasoning required for middle school success. It provides a structured path to decimal mastery and algebraic readiness.

At a Glance

• Grade: 6–8 · Subject: Math · Decimals
• Standard: CCSS.MATH.CONTENT.6.NS.B.3 — Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms.
• Skill Focus: Decimal Fluency & PEMDAS
• Format: 3 pages · 28 problems · Answer key included · PDF
• Best For: In-class practice, assessment, or homework
• Time: 40–60 minutes

What's Inside

This three-page resource features 28 targeted problems divided into three logical phases. It begins with foundational decimal operations (addition, subtraction, multiplication, and division), moves into multi-step expressions requiring strict adherence to PEMDAS rules, and concludes with advanced applications including variables, averages, and percentage-based word problems. A complete answer key is provided for efficient grading.

Skill Progression

• Guided Practice: Problems 1-8 focus on isolated decimal operations, ensuring students can fluently apply standard algorithms before tackling complexity.
• Supported Practice: Problems 9-16 introduce the Order of Operations (PEMDAS) with decimals, requiring students to sequence steps correctly in multi-part expressions.
• Independent Practice: Problems 17-28 challenge students with algebraic evaluation, real-world scenarios, and statistical applications like finding averages with decimals.

This sequence follows the gradual release of responsibility model, moving students from computational basics to sophisticated mathematical application.

Standards Alignment

The primary focus is CCSS.MATH.CONTENT.6.NS.B.3, which requires students to fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. Additionally, it supports CCSS.MATH.CONTENT.7.NS.A.3 by involving multi-step real-world and mathematical problems with rational numbers. Both standard codes can be copied directly into lesson plans or district curriculum mapping tools.

How to Use It

Assign this worksheet as a summative assessment at the end of a decimals unit or as a structured review before introducing more complex algebraic concepts. During instruction, observe how students handle the "Advanced Applications" section, specifically checking for their ability to translate word problems into numerical expressions. Expected completion time ranges from 40 to 60 minutes depending on student fluency.

Who It's For

This resource is designed for Grade 6, 7, and 8 students who are developing or refining their decimal arithmetic skills. It is particularly effective for learners needing a clear transition from arithmetic to pre-algebra. Pair this worksheet with a decimal place value anchor chart or a PEMDAS checklist to support students who are still mastering the sequence of operations.

According to the RAND AIRS 2024 report on middle school mathematics, computational fluency with decimals remains a critical predictor of success in higher-level algebra and STEM-focused coursework. This worksheet directly addresses this need by providing 28 rigorous tasks that align with CCSS.MATH.CONTENT.6.NS.B.3. By integrating standard algorithms with the Order of Operations (PEMDAS), the resource ensures that students do not just perform calculations in isolation but apply them within logical, multi-step frameworks. Research by Fisher & Frey (2014) emphasizes the importance of a scaffolded approach—moving from basic operations to complex application—to solidify student understanding and reduce cognitive load during problem-solving. Educators can utilize this tool to bridge the gap between elementary arithmetic and secondary algebraic reasoning, providing students with the necessary evidence-based practice to achieve mastery in decimal systems and rational number operations.