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Order of Operations with Rational Numbers PEMDAS BODMAS Worksheet

Order of Operations with Rational Numbers PEMDAS BODMAS Worksheet

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

21 June 2026

pdf, 93.23 KB
pdf, 93.23 KB

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 26 problems. Detailed solutions are included.

Looking for a no-prep, print-and-go resource to help your students master the order of operations with signed numbers? This comprehensive math worksheet delivers structured, clean, and highly rigorous practice sheets designed to build algebraic confidence in Middle School Math, Pre-Algebra, Algebra 1, and Key Stage 3 (KS3) classrooms.
Whether you need sub plans, independent homework, guided class practice, or structured math intervention, this worksheet gives your students the exact challenge they need to solve complex expressions involving signed integers, fractions, exponents, and decimals.
What’s Included in This Worksheet?
This downloadable PDF features an advanced bank of equations alongside fully worked-out teacher answer keys:

  • 26 Rigorous Multi-Step Problems: Progressively structured questions testing all operational layers (+, -, ·, :) with positive and negative rational numbers.
  • Decimals & Signed Integers: Includes integer rules, operations with parentheses, and signed decimals (such as 0.5 · 20 - 10 or 2 · (-0.6 + 9/10 - 0.5)).
  • Fractions & Multi-Layer Fraction Bars: Challenge questions testing fraction groups inside fraction denominators, cross-simplification, and mixed numbers.
  • Exponents & Zero-Power Rules: Pushes student mastery on operations with powers, including rules for tracking negative bases and the zero exponent (such as (-10)^2 : (-5) + 7^1 - 4^0 - 1^9 or 6 · 5^0).

Why Educators Choose Mathamaniacs Resources:
Zero Prep Required: Simply download, print, and distribute directly to your classes. Perfect for emergency lesson plans and sub packets!Step-by-Step Answer Keys Included: Saves you hours of grading time! Every single problem features full intermediate lines of calculation, denominator setups, and reciprocal steps—not just final numerical answers—making it ideal for student self-checking and marking.Clutter-Free Visual Layout: Large, dedicated workspace boxes give students plenty of physical space to track their operations and show their work neatly without feeling crowded.Versatile Classroom Use: Excellent for initial skill instruction, mid-topic remediation, exam revision, spiral math centers, or homework assignments.Target Audience & Curriculum Fit:Grades / Key Stages: 7th Grade, 8th Grade, 9th Grade / Key Stage 3 & 4 (KS3/KS4 Maths).Core Topics: Order of Operations, Rational Numbers, PEMDAS, BODMAS, BEDMAS, Integers, Operations with Fractions, Signed Decimals, Exponents, Complex Fractions, Pre-Algebra.Suggested Platform Search Tags (Copy & Paste):order of operations, rational numbers, pemdas worksheet, bodmas practice, exponents, integer operations, negative fractions, signed numbers, prealgebra review, no prep math, ks3 maths

Get this resource as part of a bundle and save up to 40%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Operations and Equations with Rational Numbers Worksheet Bundle (with Solutions)

Six worksheets on operations and equations with rational numbers. * There is one worksheet on each of the following topics: * Adding and Subtracting Rational Numbers * Multiplying and Dividing Rational Numbers * Powers of Rational Numbers * Order of Operations with Rational Numbers * Solving Two Step Equations with Rational Numbers * Solving Equations with Rational Numbers There are 47 pages in total. Detailed solutions to all worksheets are included. Equip your students with everything they need to master rational numbers with this comprehensive, ready-to-print worksheet bundle. This resource is carefully structured to transition students smoothly from basic arithmetic operations to solving complex algebraic equations involving fractions, decimals, mixed numbers, and integers. This complete download features multiple targeted practice sets designed to build computational confidence and algebraic fluency, accompanied by a step-by-step worked solutions key to save you hours of grading time! **What’s Included in this Bundle:** * **Adding & Subtracting Rational Numbers:** Practice handling positive and negative signs, common denominators, and decimals. * **Multiplying & Dividing Rational Numbers:** Layouts to master operations with integer, fractional, and decimal terms. Powers of Rational Numbers: Exercises targeting base-exponent notation, negative bases, and arranging numbers in order. * **Order of Operations (PEMDAS / BODMAS):** Multi-step calculations grouping operations with fractional terms and parentheses. * **Solving Two-Step Linear Equations:** Isolation of variables mixed with rational coefficients. * **Solving Multi-Step Linear Equations:** Advanced equations featuring distribution, variables on both sides, and clearing denominators. * **Complete Step-by-Step Worked Solutions:** A comprehensive answer key displaying every algebraic step to support easy grading, peer review, or self-correction. **Core Skills Covered:** * Applying arithmetic operations on positive and negative rational numbers. * Evaluating powers, ordering values, and simplifying complex operations. * Applying inverse operations to isolate variables in two-step and multi-step contexts. * Expanding brackets and simplifying multi-step algebraic terms. **Perfect For:** * Core instructional material, homework assignments, or structured packets * Targeted intervention, remedial review sessions, and test preparation * No-prep, highly professional sub plans for substitute teacher days * **Curriculum Alignment:** Suited for US Common Core (Middle School Math, Pre-Algebra, Algebra 1) and UK National Curriculum (KS3/KS4 Maths). Terms of Use: This bundle is for single-classroom use only. Digital redistribution, public hosting, or commercial use is strictly prohibited.

£4.90
Bundle

Rational Numbers Bundle Order of Operations PEMDAS BODMAS Practice

Three worksheets on addition, subtraction, multiplication and division between rational numbers (positive and negative integers, fractions, mixed numbers and decimals). In the first worksheet, there are four exercises, one on each operation. In the third worksheet, there are mixed problems on all operations. In the third worksheet there are problems involving more than one operation (and exponents) requiring the use of order of operations. Detailed solutions to all worksheets are included. Looking for a **no-prep, print-and-go** resource bundle to help your students master operations and the order of operations with signed numbers? This comprehensive math practice bundle delivers structured, clean, and highly rigorous practice sheets designed to build algebraic confidence in **Middle School Math, Pre-Algebra, Algebra 1, and Key Stage 4 (KS4)** classrooms. Whether you need **sub plans, independent homework, guided class practice, or structured math intervention**, this bundle gives your students the exact scaffolding and challenge they need to solve arithmetic expressions involving signed integers, fractions, exponents, and decimals. **What’s Included in This Bundle?** This downloadable PDF bundle features a massive bank of 78 unique problems complete with fully worked-out step-by-step teacher answer keys: **1. Core Operations with Rational Numbers (52 Problems)** * Signed Integers & Decimals: Focuses on integer rules, double negatives, and adding/subtracting/multiplying/dividing signed decimals (such as -2.5 - 4.3 or -10.8 : 4). * Fractions & Mixed Numbers: Master common denominators, reciprocal multiplication, and signed fractions (such as 2/3 - (-7/9) or -1 2/3 · (-2 3/4)). * Advanced Mixed-Format Equations: Highly scaffolded questions combining decimals and fractions in the same problem to push conceptual mastery (such as -6.2 - (-2 1/3) or -2.4 · 6 1/2). **2.Order of Operations with Rational Numbers (26 Advanced Problems)** * Rigorous Multi-Step Equations: Progressively structured expressions testing all operational layers with positive and negative fractions, brackets, and decimals. * Multi-Layer Fraction Bars: Challenge questions testing fraction groups embedded inside fraction denominators, cross-simplification, and complex fractions. * Exponents & Zero-Power Rules: Pushes student mastery on operations with powers, including rules for tracking negative bases and the zero exponent (such as (-10)^2 : (-5) + 7^1 - 4^0 - 1^9 or 6 · 5^0). **Why Educators Choose Mathamaniacs Resources:** * **Zero Prep Required**: Simply download, print, and distribute directly to your classes. Perfect for emergency lesson plans and sub packets! * **Step-by-Step Answer Keys Included**: Saves you hours of grading time! Every single problem features full intermediate lines of calculation, common denominator setups, and reciprocal steps—not just final numerical answers—making it ideal for student self-checking and marking. * **Clutter-Free Visual Layout**: Large, dedicated workspace boxes give students plenty of physical space to track their operations and show their work neatly without feeling crowded. * **Versatile Classroom Use**: Excellent for initial skill instruction, mid-topic remediation, exam revision, spiral math centers, or homework assignments. Target Audience & Curriculum Fit: Grades / Key Stages: 6th Grade, 7th Grade, 8th Grade, 9th Grade / Key Stage 3 & 4 (KS3/KS4 Maths). Core Topics: Order of Operations, Rational Numbers, PEMDAS, BODMAS, BEDMAS, Integers, Operations with Fractions, Signed Decimals, Exponents, Complex Fractions, Pre-Algebra. Key Words: order of operations, rational numbers, pemdas bundle, bodmas practice, exponents, integer operations, negative fractions, signed numbers, prealgebra review, no prep math, ks3 maths, fraction worksheets

£2.90

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