Section 2.1 The Real Number Line Objectives: Graph and compare Real numbers using a Number line Find the opposite and the absolute value of a number What.

Slides:

Advertisements

Similar presentations

Grade Homework 17.

Advertisements

1.7 Exponents and Order of Operations

Preview Warm Up California Standards Lesson Presentation.

1. How do you feel about the first test? 2. How did you prepare for the first test? 3. Was it effective? Or how would you change your study habits? 4.

2-1 Integers and Absolute Value

Integers and Introduction to Solving Equations

Presents Section 1.3 Inequalities and Absolute Value MB1 Track This section is prepared by M. Zalzali.

1.8 Number Lines 1.9 Opposites and Absolute Values Warm – up: State the numbers that would represent the following: – A gain of 24 yards – A loss of a.

The Real Number Line.

Integers and Rational Numbers

Chapter 2 Definitions Numbers such as 3 and -3 that are the same distance from 0 but on the opposite side of 0 are called opposites. The set of integers.

Section 1.2 The Real Number Line.

Section 1.2 The Real Number Line.

Do Now 9/17/09 Take out HW from last night. Copy HW in your planner.

____________________ Examples:  All the numbers that can be written as fractions. Each fraction must have a nonzero denominator.  Rational numbers can.

CHAPTER 9 Introduction to Real Numbers and Algebraic Expressions Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 9.1Introduction to Algebra.

Absolute Value Equalities and Inequalities Absolute value: The distance from zero on the number line. Example: The absolute value of 7, written as |7|,

Day Problems Name the set(s) of numbers to which each number belongs

Integer Introduction. Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) = 3.).008 = 4.).85 =

ALGEBRA 1. Lesson 1-3 Warm-Up ALGEBRA 1 Lesson 1-3 Warm-Up.

School pictures will be Wednesday, August 25  Early release on Wednesdays will begin in one week – starting September 1 st school will be dismissed at.

1-1(A and B) Integers and Absolute Value. Vocabulary 1.Integer – any positive or negative number 2. Positive Numbers – integers greater than zero 3. Negative.

Practice 1.2 Answers

Evaluate absolute value expressions and compare integers by graphing them on a number line.

Comparing & Ordering Integers. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas using graphical.

Solving Inequalities: Review of Unit 12 Created by: Amanda Hollenbacher 1/30/2005.

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 7.1.

GOAL 1 GRAPHING REAL NUMBERS VOCABULARY real numbers; real number line origin, negative numbers, positive numbers integers graph, plotting 2.1 The Real.

Chapter 2 – Properties of Real Numbers 2.1 – The Real Number Line.

The Set of Real Numbers Honors Math – Grade 8.

Exploring Real Numbers Objectives: (1)To classify numbers (2)To compare numbers.

Exploring Real Numbers Lesson 1-3. Real Numbers Rational Numbers Integers Whole Numbers.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Holt CA Course Introduction to Integers Vocabulary opposite integer absolute value.

1.3 Exploring Real Numbers Textbook pg 17. Terminology Natural Numbers: {1, 2, 3, 4, 5, 6,…} Whole Numbers: {0, 1, 2, 3, 4, 5,…} Integers: {…,-3, -2,

Solving Absolute Value Equations & Inequalities Solving Absolute Value Equations & Inequalities Zafar-iqbal.

Pg. 60 pick 6 GI, 1 OE 1.) 1522.) 103.) 6 4.) 7295.) 0.56.) 1 7.) 218.) 1289.) ) ) 1212.) ) 15.

Integers and Absolute Value

Warm-Up Classify each number below in as many ways as possible

Lesson Opener. 2-1 The Real Number Line Real Numbers = the set of all positive and negative numbers and zero –The point labeled zero is the ORIGIN.

Integers and Absolute Value. Vocabulary Integer Absolute Value.

THE REAL NUMBERS AND ABSOLUTE VALUE

Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Course Integers 2-1 Integers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Which is closer to the boat; the bird or the fish?

I can graph integers on a number line. I can evaluate absolute value expressions.

Number Line: Comparing and Ordering Integers LESSON 1.

Objective - To recognize and order integers and to evaluate absolute values. Integers -The set of positive whole numbers, negative whole numbers, and zero.

2.1 The Real Number Line Positive Numbers Origin Negative Numbers Positive numbers: Negative numbers: Zero:

Integers Chapter Two. Introduction to Integers Section 2.1.

Course Integers The opposite of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is.

Integers Compare and ordering.

Do Now 9/20/10 Copy HW in your homework log. Text p.68, #14-39.

Section 1Chapter 1. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Basic Concepts Write sets using set notation. Use number.

2-1 Integers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes Objective: Students.

1.3 Exploring Real Numbers

© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 5 Number Theory and the Real Number System.

Algebra 1 Section 2.1 Graph and order real numbers Find absolute values and opposites The numbers used in algebra 1 are real numbers. They include whole.

Chapter 2 Section 2 Absolute Value

5.2 The Integers; Order of Operations

Introduction to Real Numbers and Algebraic Expressions

2.4 & 2.5 Absolute Value Inequalities and Equations

Number Theory and the Real Number System

Integers and Absolute Value

Introduction to Integers; Signed Numbers

Chapter 1 Section 1.

Number Theory and the Real Number System

Together, rational numbers and irrational numbers form this set.

INTEGERS & ABSOLUTE VALUE

Ch 11.1 Integers + Absolute Value

Presentation transcript:

Section 2.1 The Real Number Line Objectives: Graph and compare Real numbers using a Number line Find the opposite and the absolute value of a number What would be the opposite of winning $100? What would be the opposite of losing 5 pounds?

Definitions Real Numbers: the set of numbers consisting of positive numbers, the negative numbers, and zero Real Number Line: a line that pictures real numbers as points Origin of a Number Line: the point labeled zero on a number line Positive numbers: any of the numbers greater than zero Negative numbers: any of the numbers less than zero Integers: any of the numbers either negative, zero, or positive without decimals or fractions Opposites: two points on a number line that are the same distance from the origin but are on opposite sides of it Absolute value: the distance between the origin and the point representing the real number Counterexample: an example used to show that a given statement is false

EX 1: Graph the numbers on a number line. Then write two inequalities that compare the two numbers a. b. EX 2:Write the following numbers in increasing order:

EX 3:Find the opposite of the number a.-3 b. 0c. 5/6 d EX 4:Evaluate the expression a. b. c.

EX 5: Use the table which lists several players and their final scores at a 1998 Ladies Professional Golf tournament. In golf the total score is given as the number of strokes above or below par, the expected score. If you are at “even par”, your score is zero. The player with the lowest score wins. PlayerScore Luciana Bemvenuti+6 Liz Early+15 Michelle Estill-9 Hiromi Kobayashi+1 Jenny Lidback-4 Joan Pitcock-11 Nancy Scranton+4 Annika Sorenstam-19 Which player scored closest to par? Which player scored farther from par? Which players scored above par? Which player scored below par? Which player won the tournament?

EX 6:Decide whether the statement is true or false. If it is false, give a counterexample A)The expression is always positive. B)The symbol is sometimes equal to C)The absolute value of a number is always greater than the number.

Assignment: p – 45x3, 44; 48 – 56 evens, 62 – 70 evens, 90 – 102x3