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Multiplying Rational Numbers Worksheet | Integers Fractions Decimals Practice

Multiplying Rational Numbers Worksheet | Integers Fractions Decimals Practice

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

9 July 2026

pdf, 92.97 KB
pdf, 92.97 KB

A worksheet on multiplying positive and negative integers, fractions, mixed numbers and decimals. There are 28 exercises. Detailed solutions are included.

Simplify your number sense topic planning with this comprehensive, no-prep Multiplying Directed Numbers Worksheet designed for KS3 and GCSE Higher/Foundation Tier Mathematics students! This printable practice resource features 28 carefully structured questions that guide students through a rigorous review of positive and negative multiplication. It combines integers, fractions, mixed numbers, and decimals all on a single high-utility practice sheet. Perfect for secondary maths classrooms, this resource includes a fully worked solutions mark scheme to make marking completely effortless!Whether you need a quick homework assignment, daily starters, cover work, independent practice, or a revision review for GCSE exam prep, this worksheet has you covered.

What is Included in This Resource?

  • Comprehensive 28-Problem Practice Sheets: Extensive computational exercises designed to build student confidence and reinforce directed number multiplication sign rules.

  • All-in-One Real Number Coverage: Integer Multiplication: Working with positive and negative whole numbers, including multiplying by zero and managing double negatives.Fraction & Mixed Number Multiplication: Combining signed fractions and mixed numbers with cross-cancelling practice (such as multiplying -3/8 by 2/9).Decimal Multiplication: Multiplying positive and negative decimals up to the hundredths place (such as -3.1 times -2.2).

  • Complete Worked Solutions / Mark Scheme: A detailed, step-by-step key that shows exactly how mixed numbers are converted, how terms are cross-cancelled, and how final answers are simplified—perfect for student self-assessment or quick teacher marking!

    Ways to Use This in Your Classroom:

  • Independent Practice / Homework: Assign it right after your directed numbers lesson to reinforce calculation fluency.

  • Maths Starters / Bell Ringers: Cut the worksheet into smaller rows to use as daily sign-rule drills across a full week of lessons.

  • No-Prep Cover Work: The clear layout and comprehensive step-by-step mark scheme mean you can just print, copy, and leave it for a cover teacher at a moment’s notice.

  • GCSE Revision / Remediation: Use it to diagnose and patch up foundational arithmetic gaps before moving into complex algebra topics.

Curriculum & Exam Board Alignment:
UK National Curriculum (Key Stage 3 & 4):

  • KS3 Mathematics (Number): Use positive and negative integers, decimals, and fractions; order positive and negative integers, decimals, and fractions.
  • GCSE Mathematics (Foundation & Higher Tier): Meets specifications for AQA, Edexcel, and OCR by reinforcing standard calculations with directed numbers, fractions, multiplying mixed numbers, and decimals without a calculator.

Get this resource as part of a bundle and save up to 41%

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 Powers of Rational Numbers Worksheet Bundle (with Solutions)

Five worksheets on operations and powers of rational numbers. The (integers, fractions, mixed numbers and decimals). There is one worksheet on each topic: * Adding Rational Numbers * Subtracting Rational Numbers * Multiplying Rational Numbers * Dividing Rational Numbers * Powers of Rational Numbers There is a large number of exercises and there are 22 pages in total. Detailed solutions 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 complex calculations involving fractions, decimals, mixed numbers, powers, and exponents. 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 Rational Numbers Worksheet**: Focused practice dealing with positive and negative signs, common denominators, and decimal values. * **Subtracting Rational Numbers Worksheet:** Exercises targeting sign adjustment, operations with negative mixed numbers, and decimal operations. * **Multiplying Rational Numbers Worksheet:** Layouts to master finding products with fractional forms, mixed numbers, cross-canceling, and signed values. * **Dividing Rational Numbers Worksheet:** Operations focusing on reciprocal multiplication, decimal quotients, and negative division properties. * **Powers of Rational Numbers Worksheet:** Comprehensive exercises exploring integer bases, fractional bases, bases with or without parentheses, comparing exponential values, ordering numbers, and evaluating complex algebraic expressions. * **Complete Step-by-Step Worked Solutions:** A comprehensive answer key displaying intermediate step-by-step work to support easy grading, peer review, or student self-correction. **Core Skills Covered:** * Applying arithmetic operations on positive and negative rational numbers. * Evaluating powers with integer or fractional bases and positive exponents. * Comparing and arranging exponential numbers in ascending or descending order. * Simplifying arithmetic sequences involving alternating sign patterns and exponents. **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 (7th & 8th Grade Math, Pre-Algebra) 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.

£3.65
Bundle

Multiplying & Dividing Rational Numbers Worksheets + Keys | 7th Grade

Three worksheets on multiplying and dividing positive and negative integers, fractions, mixed numbers and decimals. There is one worksheet on multiplication, one worksheet on division and one worksheet on both operations. Detailed solutions are included. **Looking for a comprehensive, no-prep worksheet bundle to help your pupils master multiplying and dividing positive and negative rational numbers (integers, fractions, decimals and mixed numbers)?** This ultimate 3-worksheet pack provides a complete, scaffolded practice resource designed to build total maths fluency. It guides students step-by-step through positive and negative integer operations, signed decimals, and advanced fraction and mixed number calculations. Perfect for Key Stage 3 (KS3) curriculum delivery, advanced Key Stage 2 (KS2) learners, or as an essential GCSE foundation revision packet at the start of the term! **What’s Included in This Bundle:** * **Resource 1: Multiplying Rational Numbers Worksheet** 28 skill-building questions covering signed integers, decimals, proper/improper fractions, and mixed numbers. * **Resource 2: Dividing Rational Numbers Worksheet** 28 scaffolded questions practicing division with signed integers, decimals, fractions, and mixed numbers. * **Resource 3: Mixed Multiplying & Dividing Rational Numbers Worksheet** 50 comprehensive questions combining both operations to truly test concept mastery and operational fluency. * **Full Answer Keys:** Every single worksheet includes a complete, step-by-step solutions guide showing cross-simplification and fraction division rules. This makes marking a breeze or allows for easy pupil self-checking! **How to Use This in Your Classroom:** * Multi-Day Homework / Prep Assignment Packet * Independent Classwork or Emergency Cover Plans * Maths Mastery Worksheets or Rotation Stations * End-of-Unit Revision and Exam Prep * Low-Stakes Quizzes and Retrieval Practice **Educational Standards & Curriculum Alignment: UK National Curriculum (Key Stage 3 Mathematics):** * Number: Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative. * Understand and use the rules for multiplying and dividing signed numbers.

£2.50

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