Real Numbers and Their Properties

Slides:



Advertisements
Similar presentations
Properties of Real Numbers. TYPES OF NUMBERS NATURAL  5, 3, 1, 700, 26 … positives, no fractions WHOLE  0, 1, 1052, 711, … naturals and 0 INTEGERS 
Advertisements

Jeopardy Math 1-1 to 1-6 Review 100 Algebraic Properties Radicals Factoring More Fun Math.
1.3 – Properties of Real Numbers. Real Numbers 1.3 – Properties of Real Numbers.
Properties of Real Numbers
Properties of Real Numbers. Closure Property Commutative Property.
1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.
RATIONAL NUMBERS RATIONAL NUMBERS The numbers of the form p/q (q=0) is called a RATIONAL NUMBER. Examples: 5/7 6/8 -6/9 etc. RATIONAL NUMBERS. PROPERTIES.
2-6 Multiplying Rational Numbers Objective: To multiply rational numbers.
1 -2 Properties of Real Numbers. Types of Numbers  Often, numbers are grouped or classified as specific types of numbers. We will explore the following.
Properties of Real Numbers
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 5 Number Theory and the Real Number System.
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.
Thinking Mathematically Number Theory and the Real Number System 5.5 Real Numbers and Their Properties.
REAL NUMBERS. Real IntegersWhole #’sCounting#’s Rational.
Properties of Real Numbers Algebra A Unit 1, Lesson 4.
1.1 – 1.5 Quiz Review. NumberSetsNumberPropertiesAbsoluteValue Order of OperationsPotpourri
Classifying Numbers Properties. Number Sets Natural Numbers: 1, 2, 3, … Whole Numbers: 0, 1, 2, 3, … Integers: …-3, -2, -1, 0, 1, 2, 3, … Rational Numbers:
Properties of Real Numbers
Ch 1.1 Warm Up Problems Objectives: - understand/use properties & classifications of real numbers.
1–1: Number Sets. Counting (Natural) Numbers: {1, 2, 3, 4, 5, …}
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 5.5 Real Numbers and Their Properties.
1.3 – Properties of Real Numbers. Real Numbers 1.3 – Properties of Real Numbers.
(2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition.
2.3 Multiplying Rational Numbers The product of numbers having the same sign is positive. The product of numbers having different signs is negative.
Example 1 Multiplying Fractions a. 5 2 – 3 2 – Use rule for multiplying fractions. = 2 – () 2 – 5 3 Use rule for multiplying fractions. = – 5 Evaluate.
by D. Fisher (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition 1.
Properties of Addition and Multiplication Mrs. Smith 7 th Grade Math.
(2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition.
Distributive Commutative Addition Zero Property Additive Inverse 0 Multiplicative Identity Commutative Multiplication Multiplicative Inverse Additive Identity.
Axioms for Rational Numbers 9/14-9/15. Natural Numbers – Numbers used for counting: 1, 2, 3, and so on. Whole Numbers – Natural numbers and zero: 0, 1,
Algebra I Midterm Review. Simplify. 1.) 2.) Simplify. 3.) 4.)
EXPRESSIONS, FORMULAS, AND PROPERTIES 1-1 and 1-2.
1-1 Properties of Real Numbers Big Idea: -Graph, order, identify, and use properties of real numbers.
Number Sets PropertiesExpression Squares Roots Exponents
Warm Up Simplify Estimate Section 1.3 B Classifying Numbers.
(2 x 1) x 4 = 2 x (1 x 4) Associative Property of Multiplication 1.
Algebra Core Review. Unit 1: Real Numbers Natural Numbers: Whole Numbers: Integers:
Chapter 1 Section 1.3 Properties of and Operations with Real Numbers.
Properties of Algebra. 7 + ( ) = ( ) + 9.
A34H Chapter 1 Review Classifying Numbers AND Identifying Properties.
Real # System The Simple Life Expressions Odds & Ends
Natural Numbers Where do the natural numbers start? 1 Write them in set notation {1, 2, 3,... }
Front of Room Door Josh Edson. Warm Up 1) -(-7.2) = 3) 1 – (-3) = 2) (-3.4)(-2)= 4) Day 1: August 22 nd Objective: To graph and order real numbers To.
Properties of Real Numbers
1.2 Properties of Real Numbers
The Basic Properties of
Properties of Operations
Commutative Property of Addition
Drill #3 Evaluate each expression if a = 6, b = ½, and c =
Properties of Real Numbers
Complex Number Field Properties
Warm Up Place the following numbers in ascending order, then circle the integers. ½, -2, -12/3, ¾, 0.3, 0, 5/5 Hint: Use your calculator to turn the fractions.
Real Numbers, Algebra, and Problem Solving
Warm-Up # (–25) = ? – 4 3 = ? ANSWER –7 2 3 ANSWER
1.1 Real Numbers & Number Operations
Section 5.5 Real Numbers and Their Properties
Distributing, Sets of Numbers, Properties of Real Numbers
7) Properties LT# 1E.
Commutative Property Associative Property A. Addition
1.1 & 1.2: Properties of Real Numbers & Algebraic Expressions
Section 5.5 Real Numbers and Their Properties
Real Numbers and their Properties
Chapter Sections 1.1 – Study Skills for Success in Mathematics
Estimate the square root
Apply Properties of Real Numbers
Warm up: Name the sets of numbers to which each number belongs: -2/9
Commutative Property Associative Property A. Addition
Chapter 1 Part A Review Sections 1-1 to 1-4.
Properties of Real Numbers
Presentation transcript:

Real Numbers and Their Properties 3.5 Notes Real Numbers and Their Properties

Warm-up Simplify. 1) Rationalize the denominator 2)

Warm-up Consider the following set of numbers: List the numbers in the set that are Natural numbers Whole numbers Integers Rational numbers Irrational numbers

Properties of Real Numbers Commutative Property of addition: of multiplication: Associative Property Distributive Property of multiplication:

Properties of Real Numbers Identity Property of addition: of multiplication: Inverse Property

Name the Property