multiplying rational numbers with whole numbers
When fractions and terminating or repeating decimals between the integers are included, the complete group of numbers is referred to as rational numbers. Follow the rules for signs when dividing integers to get the proper sign. Looking down at his papers, Sam sees 2/3*17/3 as one of his problems. An error occurred trying to load this video.

Blended Learning | What is Blended Learning? You remember that you can turn this division problem into a multiplication problem by flipping the second rational number. Notice that fractions can be placed on the number … The product of two rational numbers on the number line can be calculated in the following way. You will know when you need to flip your number and when you don't.

The problem becomes: Multiplying the tops and bottoms now gives you 11/9. Sam has two more problems to go. If you can simplify your problem before you multiply, your problem will be easier to solve.

Removing #book# Plus, get practice tests, quizzes, and personalized coaching to help you How do you solve two step equations with rational numbers?

The rules for signs when multiplying integers applies to fractions as well. Notation for Rational Numbers, Fractions & Decimals, Quiz & Worksheet - Rational Number Multiplication & Division, Over 83,000 lessons in all major subjects, {{courseNav.course.mDynamicIntFields.lessonCount}}, Biological and Biomedical YouCollege: Video Becomes the Next Big Thing in College Applications, Students: Use Video Games to Stay in Shape, Associate of Film and Video: Degree Overview, Job Description of a Video Blogger: Duties and Requirements, Free Video Lecture Podcasts From Top Universities, Best Free Online Video Lectures: Study.com's People's Choice Award Winner, Best Non-Video Free Courses: Study.com's People's Choice Award Winner, Biology Lesson Plans: Physiology, Mitosis, Metric System Video Lessons, How to Become a Fugitive Recovery Agent: Career Roadmap, Transactional Analysis Certification Online, How to Do an Intercampus Transfer Between UC Schools, Become a Medical Anthropologist Step-by-Step Career Guide, Bachelor in Sports and Recreation Management Degree Overview, Become a Criminal Justice Teacher Education and Career Roadmap, From Holland to Indonesia Anka Mulder of TU Delft Knows the International Impact of OCW, 6th-8th Grade Math: Basic Arithmetic Operations, 6th-8th Grade Math: Properties of Numbers, 6th-8th Grade Math: Estimating & Rounding, 6th-8th Grade Math: Simplifying Whole Number Expressions, 6th-8th Grade Math: Introduction to Decimals, 6th-8th Grade Math: Operations with Decimals, 6th-8th Grade Math: Introduction to Fractions, 6th-8th Grade Math: Operations with Fractions, 6th-8th Grade Math: Exponents & Exponential Expressions, 6th-8th Grade Math: Roots & Radical Expressions, 6th-8th Grade Algebra: Writing Algebraic Expressions, 6th-8th Grade Algebra: Basic Algebraic Expressions, 6th-8th Grade Algebra: Algebraic Distribution, 6th-8th Grade Algebra: Writing & Solving One-Step Equations, 6th-8th Grade Algebra: Writing & Solving Two-Step Equations, 6th-8th Grade Algebra: Simplifying & Solving Rational Expressions, 6th-8th Grade Algebra: Systems of Linear Equations, 6th-8th Grade Math: Properties of Functions, 6th-8th Grade Math: Solving Math Word Problems, 6th-8th Grade Measurement: Perimeter & Area, 6th-8th Grade Geometry: Introduction to Geometric Figures, 6th-8th Grade Measurement: Units of Measurement, 6th-8th Grade Geometry: Circular Arcs & Measurement, 6th-8th Grade Geometry: Polyhedrons & Geometric Solids, 6th-8th Grade Geometry: Symmetry, Similarity & Congruence, 6th-8th Grade Geometry: Triangle Theorems & Proofs, 6th-8th Grade Geometry: The Pythagorean Theorem, 6th-8th Grade Math: Rates, Ratios & Proportions, 6th-8th Grade Algebra: Monomials & Polynomials, Introduction to Statistics: Certificate Program, CAHSEE Math Exam: Test Prep & Study Guide, High School Trigonometry: Help and Review, High School Geometry: Homework Help Resource, Common Core Math - Algebra: High School Standards, PSAT Writing & Language Test: Analysis Questions, PSAT Writing & Language Test: Standard English Convention Questions, SAT Writing & Language Test: Expression of Ideas, Practice with PSAT Double Reading Passages, Solving PSAT Math Problems with Number Lines, Quiz & Worksheet - Undefined Terms of Geometry, Quiz & Worksheet - Properties and Postulates of Geometric Figures, Quiz & Worksheet - Properties of the Axiomatic System, Quiz & Worksheet - Thales & Pythagoras' Contributions to Geometry, Quiz & Worksheet - Euclid's Axiomatic Geometry, Graphing and Factoring Quadratic Equations, CPA Subtest IV - Regulation (REG): Study Guide & Practice, CPA Subtest III - Financial Accounting & Reporting (FAR): Study Guide & Practice, ANCC Family Nurse Practitioner: Study Guide & Practice, The Role of Economic Institutions & Governments In the Economy, Top 20 K-6/8 School Districts for Teachers in Massachusetts, Coronavirus Education Trends: Learning Pods, Microschools and Zutors, College Student's Guide for Minimizing & Managing School Stress During COVID-19, Top 50 K-12 School Districts for Teachers in Massachusetts, History & Its Relationship to Other Academic Disciplines, Wide-Area Wireless Communication: Microwave, Satellite, 3G, 4G & WiMAX, No Taxation without Representation: Meaning & Explanation, Euthenics & Euphenics: Definitions & Examples, Contingencies & Commitments Documentation: Recognition & Disclosure Requirements, Kansas Real Estate Commission: Investigations, Hearings & Appeals, Quiz & Worksheet - Characteristic & Continuous X-Rays, Quiz & Worksheet - Native American Reparations, Quiz & Worksheet - Defining History in Academia, Flashcards - Real Estate Marketing Basics, Flashcards - Promotional Marketing in Real Estate. Looking at this multiplication problem, you see that you can either go ahead with the multiplication or simplify first.

So 34/9 is his answer. Log in or sign up to add this lesson to a Custom Course.

{{courseNav.course.mDynamicIntFields.lessonCount}} lessons To unlock this lesson you must be a Study.com Member. So, all simple fractions are rational numbers as are all integers because we can simply rewrite an integer as that number over 1. Powers Exponents and Roots.

Let's review what we've learned. Then you must invert the divisor and multiply. As a member, you'll also get unlimited access to over 83,000 Assume that it's possible to multiply a whole number (w, where w is not zero) by an irrational number (z) and end up with a number that is NOT irrational (ie. Real numbers are numbers that can be found on the number line. They are signed numbers including fractions. Create your account. Previous Reciprocal of a (+ve) rational number is (+ve) and reciprocal of (–ve) rational number is (–ve).

Remember: Before dividing mixed numbers, you must first change them to improper fractions. Before Sam goes ahead with his multiplication, he sees that he can actually simplify his problem a little bit. You can test out of the

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