 18 + (-25) = ?  (-1/2)(-4/3) = ?  What is the difference between a daily low temperature of -5°F and a daily high temperature of 18°F?

Slides:



Advertisements
Similar presentations
Chapter 1 Tools of Algebra.
Advertisements

1.3 – Properties of Real Numbers. Real Numbers 1.3 – Properties of Real Numbers.
Chapter 1: Tools of Algebra 1-1: Properties of Real Numbers
Chapter 1. Solving Equations and Inequalities 1.1 – Expressions and Formulas.
2-5: Properties of Numbers For every real number a, b, and c PropertyAdditionMultiplicationMeaning Commutativea + b = b + aab = baOrder doesn’t matter.
EXAMPLE 5 Use unit analysis with operations a. You work 4 hours and earn $36. What is your earning rate? SOLUTION 36 dollars 4 hours = 9 dollars per hour.
Objectives: To graph and order real numbers To identify properties of real numbers Vocabulary: OppositeAdditive Inverse ReciprocalMultiplicative Inverse.
Equations and Inequalities
Fundamentals of Algebra
Warm Up Write each number as a percent. -15, -7, -4, 0, 4, 7{…, -2, -1, 0, 1, 2, 3, …} Add the negative natural numbers to the whole numbers Integers.
First Day of Math! Numbers are like people, torture them and they will give you answers.
1-3 Multiplying and Dividing Real Numbers Warm Up Lesson Presentation
Learning Targets · I can use a number line to graph and order real numbers. · I can identify properties of and use operations with real numbers.
1-3 Multiplying and Dividing Real Numbers Warm Up Lesson Presentation
1-2&1-3 Holt Algebra 1 Warm Up Lesson Presentation Lesson Quiz.
Conversions are important for administering medications.
PROPERTIES OF REAL NUMBERS 1 ¾ PI.
Rational Numbers.
1-3 Multiplying and Dividing Real Numbers Warm Up Lesson Presentation
EQUATIONS AND INEQUALITIES A2H CH 1 APPENDIX. Whole: 0, 1, 2, 3….. Integers: Whole numbers negative and positive. … -2, -1, 0, 1, 2, 3… Rational Numbers:
Honors Algebra Real Numbers and Real Operations Objectives: 1.Know the categories of numbers 2.Know where to find real numbers on the number line.
Algebra Properties of Real Numbers
Algebra II 1.1: Apply Properties of Real Numbers Summer Packets: Due Friday. Quiz : next week Wednesday, 9/18 Sophomores: NWEA testing: this Friday.
Drill #2 Evaluate each expression if a = 6, b = ½, and c =
Algebra 2. Objectives 1. Know the classifications of numbers 2. Know where to find real numbers on the number line 3. Know the properties and operations.
ALGEBRA READINESS Chapter 5 Section Use the Properties of Multiplication Commutative Property The order in which you multiply two numbers does.
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.
1.1 – Apply Properties of Real Numbers. Example 1: Graph the real numbers -5/4 and on a number line.
Properties of Real Numbers 1.Objective: To apply the properties of operations. 2.Commutative Properties 3.Associative Properties 4.Identity Properties.
I can use a number line to graph and order real numbers. I can identify properties of and use operations with real numbers.
Properties and Scientific Notation
Warm Up Simplify. 1. ( ) ANSWER ( ) 25 – + 18 ANSWER 7
Algebra 2 Chapter 1.2 Properties of Real Numbers Target Goals: 1.Use the properties of real numbers to evaluate expressions.
1.3 – Properties of Real Numbers. Real Numbers 1.3 – Properties of Real Numbers.
Chapter 1 Section 1 Properties of Real Numbers. 1-1 ALGEBRA 2 LESSON 1-1 Simplify. 1.–(–7.2)2.1 – (–3) 3.–9 + (–4.5) 4.(–3.4)(–2) Properties of Real Numbers.
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,
Chapter 1 Sections 1.1 and 1.2. Objectives: To use the order of operations to evaluate expressions. To determine the sets of numbers to which a given.
PROPERTIES OF REAL NUMBERS. COMMUTATIVE PROPERTY OF ADDITION What it means We can add numbers in any order Numeric Example Algebraic Example
Alegbra I: Chapter 2 by Laura Aung (period 3)
Unit 1 Review. 1-1 Expressions and formulas -Order of Operations (ex. #11) -Evaluate expressions (ex. #15)
(2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition.
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.
Inverse Properties.
Lesson 8 Chapter 2. Objectives Simplify expressions involving reciprocals.
1-7: Adding and Subtracting Integers
Section 1.1 Properties of Real Numbers. EXAMPLE 1 Graph real numbers on a number line Graph the real numbers – and 3 on a number line. 5 4 SOLUTION.
 To graph and order real numbers  To identify properties of real numbers. Algebra 2 Foundations, pg 11.
Do Now: Real World Application 1.) You work 10 hours and earn $85. What is your earning rate? 2.) You travel 10 miles at an average speed of 45mph. How.
Number Properties. Commutative Property of Addition Words: In a sum, you can add terms in any order. Numbers: 5 + (-6) Algebra: a + b b + a.
Holt McDougal Algebra Multiplying and Dividing Real Numbers Warm Up Multiply or divide. 1. 6(7) ÷ Write as an improper fraction. 42.
Section 1-1 Day 1 – Real number Sets. Whole Numbers Integers Rational Numbers Real Numbers Irrational Numbers 0, 1, 2, 3,......, -3, -2, -1, 0, 1, 2,
Holt Algebra Multiplying and Dividing Real Numbers Warm Up Multiply or divide. 1. 6(7) ÷ Write as an improper fraction Write.
Section 1.1 Properties of Real Numbers. Living Things Animals Plants Mammals Dogs Border Collies Real Numbers Rational Integers Whole Natural Irrational.
 Seating Chart – Attendance  Teacher Introduction  Syllabus  Classroom Rules  Partners  Diagnostic Test - Friday  Website – Each PowerPoint will.
Prerequisite Chapter Section 1 Real Numbers. Classifications of Numbers Imaginary Numbers will be introduced later.
Properties of Real Numbers
The Real-Number System
Properties of Real Numbers
08/23/2017 Agenda Ticket in the Door No Ticket in the Door
2 Variation Real World.
Apply Properties of Real Numbers
Properties of Real Numbers
1.1 Apply Properties of Real Numbers
1.1 & 1.2: Properties of Real Numbers & Algebraic Expressions
1-3 Purpose Multiply real numbers. Divide real numbers.
Proportional and Non-proportional Relationships
1.1 Real Numbers Algebra II.
Apply Properties of Real Numbers
Set – collection of objects
1-3B Real Numbers & the Number Line
Presentation transcript:

 18 + (-25) = ?  (-1/2)(-4/3) = ?  What is the difference between a daily low temperature of -5°F and a daily high temperature of 18°F?

Algebra II

 Study the properties of real numbers.

 Opposite – additive inverse, of any number b is –b.  Reciprocal – multiplicative inverse, of any nonzero number b is (1/b).

 Graph the real numbers - √5 and (7/2) on a number line.

 The table shows the record low temperatures for several states. Which list shows the temperatures from highest to lowest?  A) -80, -54, -45, -32, -2, 12  B) -80, -54, -45, -32, 12, -2  C) 12, -2, -32, -45, -54, -80  D) 12, -2, -32, -54, -45, -80 AKCAFL -80°F-45°F-2°F HIORTN 12°F-54°F-32°F

PropertyAdditionMultiplication Closurea + b is a real numberab is a real number Commutativea + b = b + aab = ba Associative(a + b) + c = a + (b + c)(ab)c = a(bc) Identitya + 0 = a, 0 + a = aa * 1 = a, 1 * a = a Inversea + (-a) = 0a * (1/a) = 1, a ≠ 0

Identify the property that the statement illustrates.  5 + (9 + 12) = (5 + 9) + 12  250 * 1 = 250

 A. You work 8 hours and earn $60. What is your earning rate?  B. You buy 18 gallons of gasoline at $2.65 per gallon. What is your total cost?  C. You drive 90 kilometers per hour. What is your speed in meters per second?

 The driving distance between Minneapolis, Minnesota, and Winnipeg, Manitoba, Canada, is about 450 miles. The driving distance between Vancouver, British Columbia, Canada, and Seattle, Washington, is about 325 kilometers.  A. Convert the distance from Minneapolis to Winnipeg to kilometers. (1 mile = 1.61 km)  B. Convert the distance from Vancouver to Seattle to miles.

 Pg. 6 – 7 (4 – 8 even, 9 – 16 all, 26 – 38 even)