Divide Rational Numbers. Objective The student will be able to:

Slides:



Advertisements
Similar presentations
Dividing Fractions Lesson 5-3.
Advertisements

Multiplying and Dividing Real Numbers; Properties of Real Numbers
Answers to page 74 #22-31.
Integers: Multiplication & Division
Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
ADDING INTEGERS (SAME SIGNS)
Solving Inequalities by Multiplication & Division.
Lesson 2 Operations with Rational and Irrational Numbers
Multiplying and Dividing Real Numbers. Language Goal  Students should be able to explain how to perform multiplication and division with real numbers.
Operations: Add, Subtract, Multiply, Divide
Multiplying Rational Numbers Essential Question: How do you multiply rational numbers? Unit 1-4.
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.
Inverses. Additive Inverse Inverses are related to the properties of real numbers. The additive inverse is the same number with the opposite sign – it.
Properties of Multiplication The properties for multiplying whole numbers are also true for multiplying fractions and whole numbers. (only 1 new property)
Dividing Real Numbers Chapter 1.3. Same signs 1.Quotient is positive Dividing Real Numbers Different signs uotient is negative.
MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.
Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem.
11-7 Multiplying Integers Warm Up Find each product ,600 14,000.
4. Check that the answer is reduced: The numerator and denominator should not have any common factors besides 1. When the GCF of the numerator and denominator.
EXAMPLE 1 Dividing a Fraction by a Fraction a = = 3 4 1, or b. – – = = 7 (– 2) 9 – 4 = 1 4 – 2, or.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
1.8 DIVIDING RATIONAL NUMBERS I CAN USE THE RULES FOR DIVIDING INTEGERS TO DIVIDE RATIONAL NUMBERS AND SOLVE PROBLEMS BY DIVIDING RATIONAL NUMBERS.
MULTIPLYING RATIONAL NUMBERS IF THE SIGNS ARE THE SAME, MULTIPLY THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. (+4)(+5) = (-4)(-5) = (3)(6) = (-10)(-4)
Multiplication of Real Numbers Section 2.5. Multiplying Rules 1) If the numbers have the same signs then the answer is positive. (-7) (-4) = 28 2) If.
Dividing Fractions. Steps for Dividing Fractions  If there are mixed numbers, change them to improper fractions first.  KEEP the first fraction  CHANGE.
Unit 4 Day 4. Parts of a Fraction Multiplying Fractions Steps: 1: Simplify first (if possible) 2: Then multiply numerators, and multiply denominators.
Algebra I Sections 2.2, 2.3, 2.5, 2.7. Properties of Addition Commutative Property a + b = b +a a + b = b +a 3 + (-2) = (-2) = Associative.
0-5: MULTIPLY AND DIVIDING RATIONAL NUMBERS. 0-5: Multiplying/Dividing Rational Numbers TThe rules about multiplying/dividing integers (covered yesterday)
2-7 Dividing Rational Numbers. Drill #25* Find the following quotients
Lesson 2-6 and 2-7 Multiplying and Dividing Rational Numbers Objective Students will be able to: 1. multiply rational numbers 2. divide rational numbers.
2-5 HW = Pg #6-50 e, HW Continued 56.) C57.) B.
Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.
Dividing Fractions.
Chapter 1 Section 2 Copyright © 2011 Pearson Education, Inc.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 1 Real Numbers and Introduction to Algebra.
2.5 and 2.6 Multiplication and Division of Rational #’s.
Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.
Ch 2.5 Objective: To multiply integers.. Properties Commutative Property: a * b = b * a Two numbers can be multiplied in either order and the result is.
Multiply and rational numbers Objective The student will be able to:
Positive and Negative Numbers
3-7 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.
OPERATIONS WITH INTEGERS, ADDING AND SUBTRACTING RATIONAL NUMBERS Objective: To add, subtract, multiply, and divide integers, to compare and order rational.
In this lesson you are going to learn how to divide fractions by multiplying by the reciprocal.
Interesting Integers – Part Dos

AGENDA TICKET IN THE DOOR TICKET IN THE DOOR
Dividing Fractions.
Dividing Positive and Negative Fractions
Objective The student will be able to:
SEC. 1-6: Multiplying & dividing real numbers
0-5: Multiply and Dividing Rational Numbers
Chapter 2.4/2.6 Notes: Multiplying and Dividing Real Numbers
In this tutorial you will be able to follow along step by step on how to solve basic operations involving fractions.
Dividing Fractions Lesson 5-9.
Dividing Rational Numbers
Warm-up: Find each quotient.
Objectives Multiply real numbers. Divide real numbers.
Dividing Fractions and Mixed Numbers
Multiplying and Dividing Rational Expressions
Objectives Multiply real numbers. Divide real numbers.
Learning Target I can multiply and divide integers.
Objective The student will be able to:
Aim: How do we divide fractions?
Ticket in the Door Current lesson Guided practice
Multiplying and Dividing Rational Numbers
Division of Real Numbers
Dividing Fraction Mr. Hickey.
Objective The student will be able to:
Dividing Fractions.
Presentation transcript:

Divide Rational Numbers. Objective The student will be able to:

Dividing Rules 1) If the numbers have the same signs then the quotient is positive. -32 ÷ (-8 )= 4 2) If the numbers have different signs then the quotient is negative. 81 ÷ (-9) = -9

When dividing two negative numbers, the quotient is positive. 1.True 2.False Answer Now

When dividing a negative number and a positive number, use the sign of the larger number. 1.True 2.False Answer Now

The reciprocal of is where a and b  0. The reciprocal of a number is called its multiplicative inverse. A number multiplied by its reciprocal/multiplicative inverse is ALWAYS equal to 1.

Example #1The reciprocal of is Example #2 The reciprocal of -3 is

Basically, you are flipping the fraction! We will use the multiplicative inverses for dividing fractions.

Which statement is false about reciprocals? 1.Reciprocals are also called additive inverses 2.A number and its reciprocal have same signs 3.If you flip a number, you get the reciprocal 4.The product of a number and its reciprocal is 1 Answer Now

When dividing fractions, change division to multiplying by the reciprocal. Examples 1)

2)

What is the quotient of -21 ÷ -3? Answer Now