3-4 Dividing Rational Numbers. Multiplicative Inverses/Reciprocals Two numbers whose product is 1 are called multiplicative inverses or reciprocals. Key.

Slides:



Advertisements
Similar presentations
3.4 Dividing Rational Numbers. Multiplicative Inverse Two numbers whose product is 1 Reciprocals.
Advertisements

Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
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.
Over Lesson 3–3 A.A B.B C.C D.D 5-Minute Check 1.
COLLEGE ALGEBRA P.5 – Rational Expressions P.6 – Complex Numbers.
WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 4.
1.6 Multiplying/Dividing Numbers Reciprocal: The flipped rational number of a given number. Multiplicative Inverse: The flipped rational number of a given.
Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.
What you will learn: Multiply fractions
Dividing Real Numbers Chapter 1.3. Same signs 1.Quotient is positive Dividing Real Numbers Different signs uotient is negative.
Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.
MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.
Chapter 4 Notes 7 th Grade Math Adding and Subtracting Fractions10/30 2. Find a common denominator 3. Add or subtract the numerators Steps 4. Keep the.
Fraction Division Opposite of Multiplication. The opposite number: Invert Called the reciprocal You simply flipped your fraction.
We have: And we take half of it! 1 REVIEW: Multiply Fractions with Models 1.What is one-half of one-third? MORE PRACTICE:
EXAMPLE 1 Dividing a Fraction by a Fraction a = = 3 4 1, or b. – – = = 7 (– 2) 9 – 4 = 1 4 – 2, or.
3-5 Adding and Subtracting Like Fractions. Add Like Fractions Like fractions are fractions with the same denominator. Key Concept: Adding Like Fractions.
Evaluating Algebraic Expressions 2-5Dividing Rational Numbers NS1.2 D ivide rational numbers (integers, fractions, and terminating decimals) AF1.3 Simplify.
1. Write 0.9% as a decimal. 1. Write 113% as a decimal. 1. Write as a percent. Round to the nearest tenth. 1. Write as a percent. Round to the nearest.
Dividing Fractions and Mixed Numbers
Dividing Fractions. Steps for Dividing Fractions  If there are mixed numbers, change them to improper fractions first.  KEEP the first fraction  CHANGE.
Divide Rational Numbers. Objective The student will be able to:
1. Flip over 2nd fraction (reciprocal) 2. keep 1st fraction the same 3. change ÷ to an X 4. multiply 5. reduce.
Multiplying and Dividing Rational Expressions
Multiplying AND DIVIDING RATIONAL EXPRESSIONS. Review: Multiplying fractions.
Algebra 11-3 and Simplifying Rational Expressions A rational expression is an algebraic fraction whose numerator and denominator are polynomials.
Dividing with Fractions. Models If one and ¾ pizzas are cut into ¼ sections, how many people will receive a share? 1 whole ¾ Since there are 7 equal quarters,
3-6 Adding and Subtracting Unlike Fractions. Add Unlike Fractions Unlike fractions are fractions with different denominators. Key Concept: Adding Unlike.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 1 Real Numbers and Introduction to Algebra.
Algebra: Solving Equations 6-5 (pages ) P4  Create visual representations of equation-solving processes that model the use of inverse operations.
Algebra Readiness Chapter 2 Section Finding Reciprocals Two nonzero numbers whose product is 1, such as 2/9 and 9/2, are reciprocals. Every number.
Holt McDougal Algebra Multiplying and Dividing Rational Expressions Simplify rational expressions. Multiply and divide rational expressions. Objectives.
EXAMPLE 1 Find multiplicative inverses of numbers a. The multiplicative inverse of 1 5 – is – 5 because b. The multiplicative inverse of 6 7 – is 7 6 –
Divide Rational Numbers Honors Math – Grade 7. A research vessel lowers a submersible 49.2 m below sea level at a descent rate of 4.1 m per second. In.
5-6 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.
Holt McDougal Algebra Multiplying and Dividing Real Numbers Warm Up Multiply or divide. 1. 6(7) ÷ Write as an improper fraction. 42.
Bell Quiz. Objectives Multiply and Divide signed numbers. Discuss the properties of real numbers that apply specifically to multiplication. Explain the.
3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product. Multiply numerators and denominators.
3 Chapter Chapter 2 Fractions and Mixed Numbers.
Do Now: Multiply the expression. Simplify the result.
AGENDA TICKET IN THE DOOR TICKET IN THE DOOR
Multiplying and Dividing Fractions
Multiplying and Dividing Rational Expressions
Dividing Positive and Negative Fractions
1. Write each rational number in lowest term (similar to p.48 #45-51)
0-5: Multiply and Dividing Rational Numbers
Bear Time 10/20/14        .
Rational Numbers & Equations
Section 5.7 & 5.8 Solving Equations with Fractions
Mult/Divide Rational Expressions
Multiply and divide fractions.
Dividing Fractions Chapter 6 Section 6.5.
Dividing Fractions and Mixed Numbers
Simplifying Rational Expressions
Lesson 6-5 Pages Algebra: Solving Equations.
Dividing Rational Numbers
Warm-up: Find each quotient.
Objectives Multiply real numbers. Divide real numbers.
Lesson Objective: I will be able to … Multiply real numbers
Section 5.4 Multiplying and Dividing Fractions
1.2 Multiply and Divide Radicals
Simplifying Rational Expressions
Review 3.2 Write as a fraction /3 Write decimal as a fraction or mixed fraction Identify as whole, integer, or rational -6 2/3 8 1/5 Simplify.
Objectives Multiply real numbers. Divide real numbers.
Rules for Multiplication and Division
Module 4: MULTIPLYING and DIVIDING FRACTIONS
Dividing Fractions Part 1
Multiplying and Dividing Rational Expressions
Aim: How do we divide fractions?
Multiplying and Dividing Rational Numbers
Presentation transcript:

3-4 Dividing Rational Numbers

Multiplicative Inverses/Reciprocals Two numbers whose product is 1 are called multiplicative inverses or reciprocals. Key Concept: Inverse Property of Multiplication WordsThe product of a number and its multiplicative inverse is 1. SymbolsFor every number,where a, b ≠ 0, there is exactly one number such that Example

Find Multiplicative Inverses 1.

Find Multiplicative Inverses 2.

Find Multiplicative Inverses Find the multiplicative inverse of each number 1. 2.

Dividing Fractions Key Concept: Dividing Fractions WordsTo divide by a fraction, multiply by its multiplicative inverse OR [Keep, Change, Flip] Symbols Example

Divide by a Fraction or Whole Number 1.

Divide by a Fraction or Whole Number 2.

Divide by a Fraction or Whole Number Find each quotient. Write in simplest form. 1.

Divide by a Mixed Number 1.

Divide by a Mixed Number Find each quotient. Write in simplest form

EXIT SLIP

Divide Algebraic Expressions 1.

Divide Algebraic Expressions Find each quotient. Write in simplest form