5.2 Multiplying and Dividing Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Multiplying Rational Expressions Recall the.

Slides:



Advertisements
Similar presentations
Complex Rational Expressions
Advertisements

Objective A: To Evaluate Exponential Expressions
3.4 Division of Polynomials BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Procedure: To divide a polynomial (in the numerator) by a monomial.
6-3: Complex Rational Expressions complex rational expression (fraction) – contains a fraction in its numerator, denominator, or both.
Rational Expressions To add or subtract rational expressions, find the least common denominator, rewrite all terms with the LCD as the new denominator,
Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.
6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Before we get started with definitions and procedures, lets take.
5.3 Adding and Subtracting Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Procedure: To add or subtract fractions with.
Like Terms: All terms with same variable part
Chapter 7 Section 2. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Multiplying and Dividing Rational Expressions Multiply rational.
A Rational Number is a quotient of two integers
3.2 Products and Quotients of Monomials BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Your Turn Problem #1 Answer: Product Rule of Exponents.
Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
If m and n are positive integers and a and b are real numbers (b0 when it is a denominator), then: Let’s review some properties of exponents where the.
Operations on Rational Expressions Digital Lesson.
Objective A. Writing Percents as fractions.
Simplifying Rational Expressions.
Example 3 Dividing Mixed Numbers ÷ – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.
In multiplying rational expressions, we use the following rule: Dividing by a rational expression is the same as multiplying by its reciprocal. 5.2 Multiplying.
Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.
Copyright © Cengage Learning. All rights reserved. Rational Expressions and Equations; Ratio and Proportion 6.
9.1 Multiplying and Dividing Rational Expressions ©2001 by R. Villar All Rights Reserved.
Factor Each Expression Section 8.4 Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient.
Section 9-3a Multiplying and Dividing Rational Expressions.
Section 8-4 Multiplying and Dividing Rational Expressions.
Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem.
HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 7.3.
Fraction Division Opposite of Multiplication. The opposite number: Invert Called the reciprocal You simply flipped your fraction.
Slide 1- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Slide 7- 1 Copyright © 2012 Pearson Education, Inc.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Rational Expressions and Functions Chapter 8.
6.2 Multiplying and Dividing Rational Expressions.
Multiplying and Dividing Rational Expressions
Algebra 11-3 and Simplifying Rational Expressions A rational expression is an algebraic fraction whose numerator and denominator are polynomials.
Section 3Chapter 7. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Complex Fractions Simplify complex fractions by simplifying.
Chapter P Prerequisites: Fundamental Concepts of Algebra Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.6 Rational Expressions.
Holt Algebra Division Properties of Exponents 7-4 Division Properties of Exponents Holt Algebra 1 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson.
You have seen positive exponents
5.1 Simplifying Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 A Rational Expression or Algebraic Fraction is a quotient.
Lesson 8.2 Notes Quotient of Powers- to divide two powers that have the same base, subtract the exponents – Ex: Power of a Quotient- to find the power.
Multiply and Divide Fractions and Decimals. Mixed Numbers, Improper Fractions, and Reciprocals Mixed Number: A number made up of a fraction and a whole.
Simplifying. Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient of two integers. A rational.
Simplifying Rational Expressions.
Copyright © Cengage Learning. All rights reserved.
Do Now: Multiply the expression. Simplify the result.
Simplifying Rational Expressions. Simplifying Rational Expressions.
Apply Exponent Properties Involving Quotients
8.1 Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Operations on Rational Expressions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Rational Expressions and Functions
Without a calculator, simplify the expressions:
Multiplying and Dividing Rational Expressions
Simplifying Rational Expressions.
Complex Fractions and Review of Order of Operations
Chapter 7 Section 3.
Chapter 7 Section 3.
Warm-up: Find each quotient.
Simplifying Rational Expressions.
Simplifying Rational Expressions.
Multiplying and Dividing Rational Expressions
A rational expression is a quotient of two polynomials
Multiplying and Dividing Rational Expressions
Do Now Factor completely
Subtract unlike rational numbers
DIVIDE TWO RATIONAL NUMBERS
Presentation transcript:

5.2 Multiplying and Dividing Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Multiplying Rational Expressions Recall the General Rule for Multiplying Fractions. If a,b, and c are integers, and b and d are not equal to zero, then: Procedure: To Simplify Rational Expressions Being Multiplied 2.Multiply numerators and denominators. Write as a singlefraction. 3. Write rational expression in lowest terms 4. Write remaining factors as answer. 1. Divide out whole numbers by a common factor when possible (reduce) rd, divide out common factors using the quotient rule for exponents. 2 nd, combine as a single fraction. Answer: 1 st, reduce whole numbers. Solution: Your Turn Problem #1

5.2 Multiplying and Dividing Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 2 Solution: Factor all numerators and denominators. Use the quotient rule for exponents to divide out like factors. Answer: Your Turn Problem #2

5.2 Multiplying and Dividing Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 3 Factor all numerators and denominators Divide out like factors. Solution: Answer: Your Turn Problem #3

5.2 Multiplying and Dividing Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 4 Dividing Algebraic Expressions Procedure: To Divide Algebraic Fractions 1. Rewrite the first fraction. 2. Write a multiplication symbol instead of the division symbol. 3. Write the reciprocal of the original second fraction. 4. Perform the multiplication as in the previous examples. Solution: 1. Recopy the first fraction. 2. Write a multiplication symbol instead of the division symbol. 3. Write the reciprocal of the original second fraction. 4. Perform the multiplication (simplify). Answer: Your Turn Problem #4

5.2 Multiplying and Dividing Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 5 Solution: 1. Rewrite the first fraction. 2. Write a multiplication symbol instead of the division symbol. 3. Write the reciprocal of the original second fraction. 4. Factor completely then divide out like factors. Answer:Your Turn Problem #5

5.2 Multiplying and Dividing Rational Expressions BobsMathClass.Com Copyright © 2010 All Rights Reserved. 6 Rational Expressions That Involve Both Multiplication And Division. Procedure: To Simplify Rational Expressions That Involve Both Multiplication And Division. 1. Convert any division symbols to multiplication. 2. Invert only the fraction that originally followed the division symbols. Solution: Change the division symbol to a multiplication symbol and invert only the middle fraction. Factor all numerators and denominators. Divide out like factors. Answer: Your Turn Problem #6 The End. B.R

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.