Identity and Equality Properties

Slides:



Advertisements
Similar presentations
Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of.
Advertisements

1.8 Properties of Real Numbers. Commutative (Addition) The “you can switch it around and it just don’t matter” property a + b = b + a.
Algebra 1 Glencoe McGraw-Hill JoAnn Evans
Properties from Algebra Geometry Chapter 02 A BowerPoint Presentation.
Objective The student will be able to: recognize and use the properties of identity and equality. SOL: A.4b Designed by Skip Tyler, Varina High School.
Lesson 1 Algebraic Properties of Equality and Identity
Properties of Real Numbers
Properties of Equality
Properties of Addition and Multiplication By Stephanie Lohr.
A) Associative for Addition B) Additive Identity
Commutative Property of Addition 2+3 = 3+2 *This property states you can add two numbers in any order!
Mathematical Properties Algebra I. Associative Property of Addition and Multiplication The associative property means that you will get the same result.
Properties (Answers)  Commutative Property  Associative Property  Distributive Property  Additive Identity  Additive Inverse  Multiplicative Identity.
Properties.
Inverses. Additive Inverse Inverses are related to the properties of real numbers. The additive inverse is the same number with the opposite sign – it.
Properties 1. Commutative Property Commutative Property of Addition and Multiplication- -changing the order in which you add does not change the sum.
Properties of Operations in Math Lesson 2. Inverse Operations Means: “putting together” a problem and “taking it apart” using the same numbers by + and.
Other Properties of Real Numbers. Identity Properties Identity properties tell us how we can add or multiply and get an answer that is identical to the.
Algebra II Honors Properties Review Chapter 1. We will solve 2x + 4 = 6x – 12 Showing all of the properties used So Let’s go!
Identity and Equality Properties 1-4. Additive Identity The sum of any number and 0 is equal to the number. Symbols: a + 0 = a Example: 10 + n = 10 Solution:
Properties of Real Numbers The properties of real numbers allow us to manipulate expressions and equations and find the values of a variable.
Properties of Real Numbers
Properties of Real Numbers The properties of real numbers help us simplify math expressions and help us better understand the concepts of algebra.
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, …}
Unit 2 Reasoning with Equations and Inequalities.
Properties of Algebra By: Zoe Gaffney. Associative Property Associative Property is when you change the numbers that are in the parenthesis. Example:
1-4 Identity and Equality Properties
Unit 2 Solve Equations and Systems of Equations
Lesson 1-4 Identity and Equality Properties Miss Simpson
Properties of Equality Properties are rules that allow you to balance, manipulate, and solve equations.
Properties. Properties  Commutative Property  Associative Property  Distributive Property  Additive Identity  Additive Inverse  Multiplicative Identity.
1-6Identity and Equality Properties Algebra One CP2.
Chapter 1 Section 2 Part 2. In Algebra, certain statements or properties are true for any number.
1.4 Identity and Equality Properties Objective The student will be able to: recognize and use the properties of identity and equality. Indicators: NS4.
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.
Lesson 3: Properties Algebra 1 CP Mrs.Mongold. Identity and Equality Properties Additive Identity- any number plus zero equals that number.
Inverse Properties.
VARIABLES AND EXPRESSIONS VARIABLES are symbols used to represent unspecified numbers or values. EXAMPLES 3m 5x + 2 3ab + 7c An ALGEBRAIC EXPRESSION consists.
Properties of Numbers Objective: Recognize the properties of equality and identity. Recognize the Commutative and Associative Properties.
Lesson 3: Properties Day 2 Algebra 1 CP Mrs. Mongold.
Bellringer. Properties of Real Numbers Properties There are several properties of real numbers that we use each day. They are: 1. Commutative 2. Associative.
1.3 Properties of Numbers 8/24/16. Common Core State Standards Interpret complicated expressions by viewing one or more of their parts as a single entity.
PROPERTIES. ADDITIVE IDENTITY PROPERTY BOOK DEFINITION:FOR ANY NUMBER A, A + 0 = A OWN DEFINITION: THIS PROPERTY SAYS THAT WHEN YOU ADD 0 TO ANY NUMBER.
Algebra 1 Notes: Lesson 1-4: Identity and Equality Properties.
1-3 Properties of Numbers
Properties of Addition and Multiplication
Commutative Property of Addition
Objective The student will be able to:
Objective The student will be able to:
PROPERTIES.
Properties.
Properties of Equality
Properties of Equality
Properties of Real Numbers
Objective The student will be able to:
Properties of Equality
PROPERTIES OF ALGEBRA.
NAME THAT PROPERTY! For each of the equations below,
Properties of Real Numbers
Properties of Addition and Multiplication
Properties of Equality Algebra
Lesson 4-1 Using Properties Designed by Skip Tyler, Varina High School
Beat the Computer Drill
Properties of Numbers Lesson 1-3.
Properties of Operation
Properties of Addition and Multiplication
Properties of Addition and Multiplication
Properties of Addition and Multiplication
Presentation transcript:

Identity and Equality Properties

What do you add to get the same? Identity Properties 1) Additive Identity What do you add to get the same? a + 0 = a 2) Multiplicative Identity What do you mult. to get the same? a • 1 = a

Inverse Properties 1) Additive Inverse (Opposite) a + (-a) = 0 2) Multiplicative Inverse (Reciprocal)

Multiplicative Property of Zero (If you multiply by 0, the answer is 0.)

Properties of Equality 1) Reflexive: a = a 5 = 5 2) Symmetric: If a = b then b = a. If 4 = 2 + 2 then 2 + 2 = 4. 3) Transitive:If a = b and b = c, then a = c. If 4 = 2 + 2 and 2 + 2 = 3 + 1 then 4 = 3 + 1. 4) Substitution: If a = b, then a can be replaced by b. (5 + 2)x = 7x

Name the Property 1. 0  12 = 0 Multiplicative Prop. Of Zero 2. (10 + 2)  3 = 12  3 Substitution 3. 2 + 3 = 5 then 5 = 2 + 3 Symmetric

4. If 5  2 = 10 & 10 = 5 + 5 then 5  2 = 5 + 5 Transitive 5. 6 + (-6) = 0 Additive Inverse

6. 1  m = m Multiplicative Identity 7. k + 7 = k + 7 Reflexive 8. x + 0 = x Additive Identity 9. Multiplicative Inverse

Name the property. 0 + 4 = 4 Additive Identity Additive Inverse Additive Property of Zero Substitution Answer Now

Name the property. 8 – (6 + 2) = 8 - 8 Additive Identity Additive Inverse Associative Substitution Answer Now

Name the property. 2 + (x – 3)1 = 2 + (x – 3) Reflexive Multiplicative Inverse Multiplicative Identity Symmetric Answer Now

Thanks for coming!