pdf, 98.52 KB
pdf, 98.52 KB

A worksheet on addition, subtraction, multiplication and division between rational numbers (positive and negative integers, fractions, mixed numbers and decimals). There are 52 mixed problems on all operations. Detailed solutions are included.

Looking for a no-prep, print-and-go resource to help your students master operations with positive and negative rational numbers? This comprehensive math worksheet delivers structured, clean, and highly effective practice sheets designed to build computational confidence in Middle School, Key Stage 3 (KS3), and Pre-Algebra math classrooms.
Whether you need sub plans, independent homework, guided class practice, or structured math intervention, this worksheet gives your students the exact scaffolding they need to solve arithmetic problems involving signed integers, fractions, and decimals (pp. 1-2).

What’s Included in This Worksheet?
This downloadable PDF features a massive bank of practice equations spread across 6 student practice pages, complete with 6 pages of fully worked-out teacher answer keys (12 pages total) (pp. 1, 7, 12):

  • 52 Rigorous Computational Problems: Progressively structured questions testing all four operations (+, -, ×, ÷) with positive and negative rational numbers (pp. 1, 6).
  • Signed Integers & Decimals: Focuses on integer rules, double negatives, and adding/subtracting/multiplying/dividing signed decimals (e.g., -2.5 - 4.3 or -10.8 : 4) (pp. 1, 4).
  • Fractions & Mixed Numbers: Master common denominators, reciprocal multiplication, and signed fractions (e.g., 2/3 - (-7/9) or -1 2/3 · (-2 3/4)) (pp. 1-2).
  • Advanced Mixed-Format Equations: Highly scaffolded questions combining decimals and fractions in the same problem to push conceptual mastery (e.g., -6.2 - (-2 1/3) or -2.4 · 6 1/2) (p. 11).

Why Educators Choose Mathamaniacs Resources:

  • Zero Prep Required
  • *Step-by-Step Answer Keys Included
  • Clutter-Free Visual Layout
  • *Versatile Classroom Use

Target Audience & Curriculum Fit:

  • Grades / Key Stages: 6th Grade, 7th Grade, 8th Grade / Key Stage 3 (KS3 Maths)
  • Core Topics: Rational Numbers, Integers, Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Decimals, Negative Numbers, Signed Arithmetic, Mixed Numbers.

Key Words
rational numbers, multiplying fractions, dividing fractions, integer operations, negative decimals, signed numbers, prealgebra review, no prep math, adding fractions, ks3 maths, 7th grade math

Get this resource as part of a bundle and save up to 34%

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

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

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