Properties Associative, Commutative and Distributive.

Slides:

Advertisements

Similar presentations

§ 1.10 Properties of the Real Number System. Angel, Elementary Algebra, 7ed 2 Commutative Property Commutative Property of Addition If a and b represent.

Advertisements

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

Properties of Algebra By: Grayson W.. Commutative Property When you add or multiply two numbers, it does not matter what order they are in. The sum and.

2.7 Using the Distributive Property Goal: 1.)To multiply using the distributive property of multiplication over subtraction 2.)To factor.

Properties of Real Numbers. Closure Property Commutative Property.

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.

PROPERTIES REVIEW!. MULTIPLICATION PROPERTY OF EQUALITY.

PO D basicadvanced 4b + 6 b= 5, c= 3, d=7 (10c ÷b) 2 + d 4(5) (10(3) ÷5) (30 ÷5) (6)

Algebra 1 Chapter 1 Section Properties of Real Numbers The commutative and associate properties of addition and multiplication allow you to rearrange.

Properties of Real Numbers

Commutative Properties The Commutative Property is when a change in the order of the numbers does not change the answer. For example, addition would be:

Objective The student will be able to: recognize and use the commutative and associative properties and the properties of equality.

Properties of Real Numbers 1.Objective: To apply the properties of operations. 2.Commutative Properties 3.Associative Properties 4.Identity Properties.

Properties are special qualities of something. Addition and multiplication have special qualities that help you solve problems mentally = MENTAL MATH!!

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

The Distributive Property. Properties The Distributive Property To distribute means to separate or break apart and then dispense evenly. The Distributive.

Properties of Addition and Multiplication. Distributive Property A(B + C) = AB + BC 4(3 + 5) = 4x3 + 4x5.

Unit 1, Lesson 6: The Number Properties

Why don’t I get these, “Properties of Integers” Associative for Addition Associative for Multiplication Commutative for Addition Commutative for Multiplication.

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

Properties of Numbers. Additive Identity Adding “0” to a number gives you the same initial number. Example = = 99.

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

Properties of Addition and Multiplication. Commutative Property  Commute or move around  Changing the order of the numbers in the problem does not change.

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

DO NOW#11 – Thurs, 9/26 1) 3² - 4 x ) 4 x 3 + (9 + 2³) - 4.

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

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

Multiplication and Division Properties. Multiplication Properties Commutative Property Associative Property Identity Property Zero Property Distributive.

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

Properties in Math. Commutative Property of addition Says that you can switch the addends around and still get the same sum. Ex: = Ex: 6 +

Real Numbers Chapter 1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-1.

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

Objective- To justify the step in solving a math problem using the correct property Distributive Property a(b + c) = ab + ac or a(b - c) = ab - ac Order.

(2 x 1) x 4 = 2 x (1 x 4) Associative Property of Multiplication 1.

1 Math I can create equivalent expressions. Using the Distributive Property.

Chapter 1 Review. Examples: Write the numeric expression 1.) Eight more than a number n 2.) The difference of six and a number 3.) The product of three.

Algebraic Properties Terra Alta/East Preston School Terra Alta, West Virginia.

 Commutative Property of Addition  When adding two or more numbers or terms together, order is NOT important.  a + b = b + a  =

Distributive Property. Mix Problems Homework Distributive Property.

Distributive property Pick 2 different colored highlighters.

Distributive Property Part II Pick up 2 different colored highlighters.

2.5 Algebra Reasoning. Addition Property: if a=b, then a+c = b+c Addition Property: if a=b, then a+c = b+c Subtraction Property: if a=b, then a-c = b-c.

Properties of Real Numbers

Properties of Operations

Objective The student will be able to:

Topic: Real Number Systems

Properties of Real Numbers

Properties of Real Numbers

2.4 Objective: The student will be able to:

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

Chapter 1 Section 8 Properties of Numbers.

Properties of Addition and Multiplication

Properties for Addition and Multiplication only

Algebraic Properties.

Real Numbers and Number Operations

Algebraic Properties in solving equations

The Distributive Property

Commutative and Associative Properties

Commutative Property Associative Property A. Addition

Properties in Math.

PROPERTIES OF ALGEBRA.

are statements that are true for all numbers.

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

Properties of Real Numbers

Objective The student will be able to:

Commutative Property Associative Property A. Addition

By: Savana Bixler Solving Equations.

Properties of Numbers Review Problems.

Presentation transcript:

Properties Associative, Commutative and Distributive

Associative Property The associative property allows you to group numbers differently and still get the same result. For example: Associative Property of Addition: (9 + 6) + 4 = 9 + (6 + 4) Associative Property of Multiplication: (9 * 6) * 4 = 9 * (6 * 4) Note: The associative property does not work for subtraction or division (9 - 6) - 4 = 9 - (6 - 4) = = 7 (9 / 6) / 2 = 9 / (6 / 2) (1.5) / 2 = 9 / = 3

Commutative Property The commutative property allows you to change the order of the numbers and still get the same result. For example: Commutative Property of Addition: = Commutative Property of Multiplication: 6 * 4 = 4 * 6 Note: The commutative property does not work for subtraction or division 6 – 4 = 4 – 6 2 = - 2 6/ 4 = 4/6 1.5 = 2/3 (or.6667)

Distributive Property The distributive property is mostly used to multiply an number through a parenthesis containing addition or subtraction Distributive Property: 10(6 + 5) = 10(6)+10(5)

In Review Associative Property changes the grouping Commutative Property changes the order Distributive Property multiplies through a parenthesis containing addition or subtraction You ASSOCIATE with your friends in GROUPS Commute means to move or drive (moves to a different spot)

Which Property is This? 3 * 4 * 6 = 6 * 3 * 4 Commutative Property of Multiplication

Which Property is This? 5(x - 3) = (5*x) – (5*3) Distributive Property

Which Property is This? (2 + 3) + (4 + 6) = (4 + 6) + (2 + 3) Commutative Property of Addition

Which Property is This? Associative Property of Addition (2 + 3) + (4 + 6) = 2 + (3 + 4) + 6

Which Property is This? 10( ) = (10*3) + (10*6) +(10* 2) Distributive Property

Which of these is NOT TRUE? (1 + 2) + (3 + 4) = 1 + (2 + 3) = (1 * 2) * (3 * 4) = 1 * (2 * 3) * 4 (1 - 2) - (3 - 4) = 1 - (2 - 3) - 4 The Commutative Property does not work with subtraction

Which of these is TRUE? = 1 * 2 * 3 * * = 1 * * 2 * 3 * 4 = 2 * 3 * 1 * * 3 * 4 = 2 * * 1

Which of these shows the Associative Property of Addition? a + b + c + d = d + c + a + b a * b * c * d = d * a * c * b (ab) * (cd) = (ac) * (bd) (a + b) + (c + d) = (a + d) + (c + b)