Real Numbers and Number Operations

Slides:

Advertisements

Similar presentations

Multiplying and Dividing Real Numbers; Properties of Real Numbers

Advertisements

Properties of Real Numbers. Closure Property Commutative Property.

Properties of Real Numbers Math 0099

Properties of Real Numbers. 2 PROPERTIES OF REAL NUMBERS COMMUTATIVE PROPERTY: Addition:a + b = b + a = = =

Properties of Real Numbers

Algebraic Properties: The Rules of Algebra Be Cool - Follow The Rules!

(2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition.

7.1 - Introduction To Signed Numbers

Algebraic Properties Learning Goal: The student will be able to summarize properties and make connections between real number operations.

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

Properties of Real Numbers Students will be able to recognize properties of real numbers and use them to solve problems.

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

Properties of Addition and Multiplication. Commutative Property In the sum you can add the numbers in any order. a+b = b+a In the product you can multiply.

Properties of Real Numbers List of Properties of Real Numbers Commutative Associative Distributive Identity Inverse.

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.

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

Properties of Real Numbers. Properties of Addition & Multiplication: For all real #’s, a, b, c… Closure: then a+b is a real number ab is a real number.

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:

1.2 Field Axioms (Properties) Notes on a Handout.

by D. Fisher (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition 1.

(2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition.

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,

PROPERTIES OF REAL NUMBERS. COMMUTATIVE PROPERTY OF ADDITION What it means We can add numbers in any order Numeric Example Algebraic Example

Properties Objective: To use the properties of numbers. Do Now 1.) = 3.) ( 2  1 )  4 = 2.) =4.) 2  ( 1  4 ) =

Properties of Real Numbers CommutativeAssociativeDistributive Identity + × Inverse + ×

by D. Fisher (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition 1.

(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,

Properties A property is something that is true for all situations.

Properties of Algebra. 7 + ( ) = ( ) + 9.

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.

Properties of Real Numbers

Properties of Operations

Commutative Property of Addition

Properties of Addition and Multiplication

Objective The student will be able to:

Properties of Real Numbers

A.2 Simplifying Simplify means combine Like Terms.

Properties of Real Numbers Math 0099

Properties of Real Numbers

Properties of Addition and Multiplication

Properties for Addition and Multiplication only

Algebraic Properties.

Properties of Real Numbers

1.1 Real Numbers & Number Operations

Properties of Real Numbers

2.1 Properties of Real Numbers

Properties of Real Numbers

Properties of Real Numbers

Properties of Real Numbers

Commutative Properties

Commutative Property Associative Property A. Addition

Properties of Real Numbers

You will need to supply your own calculators for this course---you will need either a TI-82 or a TI-84 graphing calculator.

1.1 Apply Properties of Real Numbers

Apply Properties of Real Numbers

Properties of Real Numbers

Properties of Real Numbers Math 0099

Warm up: Name the sets of numbers to which each number belongs: -2/9

Properties of Real Numbers

Properties of real numbers

Properties of Real Numbers

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

Commutative Property Associative Property A. Addition

Properties of Real Numbers

Properties of Numbers Review Problems.

Presentation transcript:

Real Numbers and Number Operations Notes 1.1 Real Numbers and Number Operations

The World of Numbers!!!

Write these numbers in order from least to greatest. Graph them on a number line. a. 5, -2, -3 b. -6, -3, -10 c.

Properties of Addition and Multiplication! : ) Property Addition Multiplication Commutative a + b = b + a ab = ba Associative (a + b) + c = a + (b + c) (ab)c = a(bc) Identity a + 0 = a, 0 + a = a a ∙ 1 = a , 1 ∙ a = a Inverse a + (-a) = 0 a ∙ = 1, a ≠ 0 Distributive Property: a(b + c) = ab + ac

Key Words Sum means addition (+) Difference means subtraction (-) Product means multiply (x) Quotient means divide (÷)

What is the quotient of -16 and ? What is the product of -5 and 8?

Homework page 6 11-29, 24-35, 42-45, 51-58