Positive & Negative Numbers Worksheet Bundle | Integers Fractions Decimals
Five worksheets on adding, subtracting, multiplying and dividing positive and negative numbers (integers, fractions, mixed numbers and decimals). One worksheet on each operation and one worksheet on all operations.
Solutions are included.
**Take your students beyond basic integer rules with this comprehensive, no-prep directed numbers worksheet bundle!** This resource is perfectly designed to help your secondary math classes build complete computational fluency, moving fluidly from whole number integers to challenging operations with negative fractions, decimals, indices, and multi-step calculation brackets.
Whether you are teaching **KS3, KS4 (GCSE / iGCSE), Year 7-11, or foundational algebra review**, these structured practice sheets offer a complete range of problem types to ensure true mathematical mastery.
**What is Included in This Bundle?**
This package contains a massive collection of student practice pages along with **comprehensive, step-by-step worked answer keys** that show exactly how to find common denominators, cross-cancel, and apply correct operational signs.
**Section 1: Adding and Subtracting Real Numbers**
* Evaluating direct horizontal expressions with positive and negative integers).
* Adding and subtracting signed decimals and mixed number fractions with unlike denominators.
* Evaluating longer expressions containing multi-term string numbers.
**Section 2: Multiplying and Dividing Signed Numbers**
* Direct arithmetic with signed whole numbers, decimals, and negative fractional products.
* Evaluating multi-factor strings to understand how even or odd numbers of negative signs impact the final value.
* Solving fill-in-the-blank equations to target missing multipliers and unknown divisors.
**Section 3: Order of Operations & Indices**
* Applying correct calculation rules (BIDMAS/BOOM) to complex nested groupings and brackets.
* Evaluating signed bases raised to integer powers and indices.
* Solving highly complex, multi-step vertical calculation bar equations.
**Section 4: Comparison & Inequality Tasks**
* Evaluating values on both sides of an expression to compare using less than, greater than, or equal symbols.
**Why Teachers Love This Resource:**
* **Ready to Print & Go:** No prep required! Simply print the worksheets and you are completely ready for a cover lesson, classwork assignment, homework, or math revision session.
* **Step-by-Step Solutions Included:** Save hours of marking time with a fully worked-out answer key that clearly maps out intermediate signs and fraction conversions (pp. 4, 15). Students can also use it to self-assess.
* **Clean and Uncluttered Design:** Problems are laid out beautifully with plenty of white space so students can focus purely on the math without feeling overwhelmed by dense text.
* **True Scaffolded Depth:** Tasks naturally progress from simple arithmetic tracking to high-level missing number equations, complex indices, and fraction operations.
**Educational Standards Covered:**
* **UK National Curriculum / GCSE:** Number and Calculations. Calculate exactly with fractions, decimals, and directed numbers; apply the four operations to integers, decimals, and proper/improper fractions; use conventional notation for the priority of operations, including brackets, powers, roots, and reciprocals.
* **US Common Core Standards (for reference):** 7.NS.A.1, 7.NS.A.2, 7.NS.A.2.C, 7.NS.A.3, and 8.EE.A.1.
