Lesson 8 Chapter 2. Objectives Simplify expressions involving reciprocals.

Slides:

Advertisements

Similar presentations

Properties of Logarithmic Functions

Advertisements

{ Take notes on the properties at this time!! !.

Solving Multiplication and Division Equations. Lesson Objective Students will be able to solve multiplication and division equations.

1.3 – AXIOMS FOR THE REAL NUMBERS. Goals  SWBAT apply basic properties of real numbers  SWBAT simplify algebraic expressions.

Chapter 2 Working with Real Numbers. 2-1 Basic Assumptions.

1-2&1-3 Holt Algebra 1 Warm Up Lesson Presentation Lesson Quiz.

Rational Numbers.

Warm up Determine if the set finite or infinite: 1. {Even numbers greater than 4, but less than 100} 2. {odd numbers} 3.{Fractions less than 1} is.

Day Problems Rewrite each expression using each base only once.

Lesson 8.4 Multiplication Properties of Exponents

8.7/8.8 DIVISION AND MORE MULTIPLICATION PROPERTIES OF EXPONENTS ALGEBRA 1 CP OBJECTIVE: USE TWO MORE MULTIPLICATION PROPERTIES AND APPLY DIVISION PROPERTY.

Warm Up Simplify the following expression using order of operations.

Multiplying and Dividing Rational Expressions

Lesson #13 Adding & Subtracting Rational Expressions.

Recall the real number line: Origin Pos. real numbers Neg. real numbers Coordinate of a point 13 3.

Properties of the Real Number System. FOR ADDITION: The order in which any two numbers are added does not change the sum. FOR MULTIPLICATION: The order.

Do Now LT: I can identify the real set of numbers that has special subsets related in particular ways.

MTH Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

SECTION 2.7 DIVISION OF REAL NUMBERS Objectives: Divide real numbers Use division to simplify algebraic expressions.

Day Problems Solve each equation. Check your answer. 1. x – 3 = 102. m – 3 = = a = k

I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.

Copyright © 2010 Pearson Education, Inc. All rights reserved. 1.7 – Slide 1.

1)12 (–28) 2) –23 + (–15) 3) 28 ÷ ( –12) 4) 0.314, , 0.309, Warm-Up Simplify. Order the numbers from least to greatest ,0.309,0.3131,0.314.

-(-7.2) 1-(-3) -9+(-4.5) (-3.4)(-2) -15/3 -2/5 + 3/-5

Chapter 2 Properties of Real Numbers VOCABULARY. Absolute Value  The distance from zero on the number line and the point representing a real number on.

7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.

Lesson 1 Chapter 3. Objectives Solve equations using addition and subtraction.

2-5 HW = Pg #6-50 e, HW Continued 56.) C57.) B.

Goal: Graph, order and use real numbers. Order numbers from least to greatest:  , 0.09, 0.192, 0.79  , 3.3, 0.3, 3.13  3. ½, 3/5, ¼,

Negative Exponents Lesson #5 Pg. 203.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions.

2.8 The Reciprocal of a Real Number Objective: To simplify expressions involving reciprocals. Warm – up: Multiply: 1) 20(-5)2) 7a(-3b) 3) 76(-85)(0)4)

1-4 Properties of Real Numbers. Properties 1.Additive Identity – the sum of any number and zero is equal to the number. a + 0 = a 2.Multiplicative Identity.

Applied Algebra B Lesson: 2 – 3 Adding Integers Objective: Learn to add integers.

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 –

Inverse Properties.

: Solve using mental math. 1.3x = –18 ANSWER –6 ANSWER –10 2. b + 21 = Simplify the expression 3 ( x + 2 ) – 4x + 1. ANSWER –x + 7.

SIMPLIFYING VARIABLE EXPRESSIONS Lesson 2-3. Simplifying Variable Expressions Review of Math Vocabulary: Term The combination/set of a number and variable(s)

Lesson 1-6 Multiplying and Dividing Real Numbers Pages

Chapter 2 – Properties of Real Numbers Algebra I A - Meeting 9 Homework # 7 – Word Problems pg 92 # 51 An investor purchases 50 shares of a stock at $3.50.

1.8 Dividing Real Numbers Objectives To Divide Real Numbers To evaluate algebraic expressions involving multiplication and division.

The set of all numbers that can be represented on a number line are called real numbers. You can use a number line to help you with addition and subtraction.

2-1 Basic Assumptions Objective: To use number properties to simplify expressions.

Multiplying and Dividing Rational Expressions

7.2a Warm-Up = 52(?) 2. x5 = (?)2(x) 3. 3a3b4 = (?)3(3b) 6 ab

Chapter 2 Vocabulary Equations.

Properties of Real Numbers

2-1 Solving 1 step equations

Multiply and Divide Rational Expressions

Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.

08/23/2017 Agenda Ticket in the Door No Ticket in the Door

Chapter 2.4/2.6 Notes: Multiplying and Dividing Real Numbers

Recall the real number line:

 Warm-up: n HW: Pg. 10 (40) Pg. 12 (75, 79, 84, 85, 8996, 110)

Lesson 6-5 Pages Algebra: Solving Equations.

1.1 & 1.2: Properties of Real Numbers & Algebraic Expressions

Algebra 1 Section 1.6.

Properties of Real Numbers

1.3 – AXIOMS FOR THE REAL NUMBERS

Several Transformations

Rules for Multiplication and Division

Algebra 1 Section 2.4.

Multiplying and Dividing Rational Expressions

Warm-up: Simplify |2x – 4| + 3 Homework : pg. 23 (6, 8, 10, 16)

Properties of real numbers

Warm-Up Find the slope of 4y = 3x + 21 Solve -3x – 5 = x + 12

1.4- Properties of Real Numbers and Algebraic Expressions

Lesson 3 Negative exponents

Chapter 1 Vocabulary 24.) Multiplicative Inverse 25.) Reciprocal.

Presentation transcript:

Lesson 8 Chapter 2

Objectives Simplify expressions involving reciprocals

Vocabulary Two numbers whose product is 1 are called reciprocal, or multiplicative inverses, of each other. Ex: 5 and 1/5

Property of Reciprocals a. For every nonzero real number a, there is a unique real number 1/a such that a. a ∙ 1/a = 1 and 1/a ∙ a = 1

Property of the Reciprocal of the Opposite of a Number For every nonzero number a, 1/-a = -1/a.

Property of the Reciprocal of a Product For all nonzero numbers a and b, 1/ab = 1/a ∙1/b The reciprocal of the product of two nonzero numbers is the product of their reciprocals.

Example 1 Simplify: a. b. c.

Example 1- Solution a. b. c.

Example 2 Simplify Solution:

Guided Practice Simplify

Guided Practice 3. 4.

Homework Pg. 81; 1-31 (odd) Link to reciprocal practicereciprocal practice