Objective - To subtract integers. 1 = +1 + +1 = +1 + -1+ -1 = -1 + + + -1 = -1 - -1 = +1 - - - 1 = -1 - - - -1 = +1 - - - - -1 = -1 + - + 1 = -1 + + -

Slides:



Advertisements
Similar presentations
Welcome to Interactive Chalkboard
Advertisements

Unit one Adding & Subtracting Integers. 1 st ) Adding two positive integers Find the result then represent it on the number line = *
5.2 The Integers. Whole Numbers The set of whole numbers contains the set of natural numbers and the number 0. Whole numbers = {0,1,2,3,4,…}
Commutative and Associative Properties
3-5 Solving Equations with the variable on each side Objective: Students will solve equations with the variable on each side and equations with grouping.
EXAMPLE 3 Identify properties of real numbers
1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.
RATIONAL EXPONENTS Assignments Assignments Basic terminology
7.1 - Introduction To Signed Numbers
EXAMPLE 2 Evaluate exponential expressions a. 6 – Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 –
Some Properties of Whole Numbers and their Operations
Sets and Expressions Number Sets
Simplifying Expressions and Combining Like Terms
Exponents and Order of Operations
Operations: Add, Subtract, Multiply, Divide
Basic Terminology BASE EXPONENT means. IMPORTANT EXAMPLES.
Objectives: To evaluate and simplify algebraic expressions.
§ 1.7 Multiplication and Division of Real Numbers.
Quiz Review Properties and Integers Operations with Decimals Addition Subtraction Multiplication Division.
California Standards AF2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results.
Objective - To subtract integers. To subtract an integer is to add its opposite. a - b =a + -b = (-5) =8 + 5 = = 4 Rewrite the.
Notes October 8, 2012 Unit 3 Linear Expressions and Equations Expressions Linear Expressions and Equations.
Day Problems Simplify each expression – – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = a – b + c5. |c + a + 5|
The Set of Real Numbers Honors Math – Grade 8.
Chapter 2 Properties of Real Numbers VOCABULARY. Absolute Value  The distance from zero on the number line and the point representing a real number on.
Algebra I Sections 2.2, 2.3, 2.5, 2.7. Properties of Addition Commutative Property a + b = b +a a + b = b +a 3 + (-2) = (-2) = Associative.
Unit 2: Integers Unit Review. Multiplying Integers The product of two integers with the same sign is a positive. Eg: (+6) x (+4) = +24; (-18) x (-3) =
Objective - To multiply integers. Signs are the same Signs are different Simplify. 1) 2) 3) 4) 5) 6)
Objective - To simplify expressions using commutative and associative properties. Commutative - Order doesn’t matter! You can flip-flop numbers around.
Copyright©amberpasillas2010 Review Day!. copyright©amberpasillas2010 or.
Objective - To simplify variable expressions involving parenthesis and exponents. Simplify the following.
Ch 2.3 & 2.4 Objective: To solve problems involving operations with integers.
Objective - To divide integers. Odd # of Negatives = Negative Even # of Negatives = Positive Simplify. 1) 2) 3) 4) 5) 6) 7) 8) (-2)
Ch 3.1 Add and Subtract Signed Numbers Vocabulary Op posites :2 numbers the same distance from 0 but in opposite directions
6.1 Properties of Exponents Use properties of exponents Use negative and zero as an exponent EQ: What are the general rules involving properties of exponents?
Equivalent Expressions 6.7. Term When addition or subtraction signs separate an algebraic expression in to parts, each part is called a term.
x² + 5x + 4 9acny 42 n³ 7y³ + 3y²n - 6n² + 8x a9a n x² + 5x + 4x4x 7n ¼ + 6x³ a ⅔ 42 6.
Lesson 1-6 Multiplying and Dividing Real Numbers Pages
6 th grade Math Vocabulary Word, Definition, Model Emery UNIT 2.
Same Signs Different Signs 1) =+7 Objective- To solve problems involving operations with integers. Combining.
 Commutative Property of Addition  When adding two or more numbers or terms together, order is NOT important.  a + b = b + a  =
Algebraic Expressions
Objective - To add and subtract polynomials.
5.2 The Integers.
Lesson 10.3 Properties of Logarithms
Algebraic Expressions
Addition/ Subtraction
Negative Numbers.
Algebra Vocabulary SOL 6.23.
Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.
ALGEBRA VOCABULARY.
Variables and Expressions
1.4 Basic Rules of Algebra.
Basic Rules Of ALGEBRA.
RATIONAL EXPONENTS Basic terminology Substitution and evaluating
Warm-Up # (–25) = ? – 4 3 = ? ANSWER –7 2 3 ANSWER
Division Properties of Exponents
Exponential Functions
Reading and Writing Algebraic Expressions
Algebra Vocabulary.
4 WARM UP NUMERICAL EXPRESSIONS Evaluate the expression (Lesson 1.3)
Section 10.1 Groups.
Combining Like terms.
Properties of Operations
3. 3 Properties of Rational Numbers Identity and Multiplication Prop
Lesson 1.3 Properties of Real Numbers
Algebra Vocabulary SOL 6.23.
Section 9.1 Groups.
Warm up #2 Ch 1: SIMPLIFY if possible
Presentation transcript:

Objective - To subtract integers. 1 = = = = = = = = = = +1 Odd # of Negatives = Negative Even # of Negatives = Positive Multiple Signed Numbers

Combine the following integers. 1) = 2) = 3) = 4) = 5) = 6) = 7) = 8) = 9) = 10) = 11) = 12) = 13) = 14) =

Identify the property shown below. 1) 7 + ( ) = ( ) + 5 2) 3) 4) 5) = ) = 12 7) Assoc. Prop. of Add. Mult. Prop. of Zero Comm. Prop. of Mult. Comm. Prop. of Add. Identity Prop. of Add. Identity Prop. of Mult.

Closure Property A set of numbers is said to be ‘closed’ if the numbers produced under a given operation are also elements of the set. Tell whether the whole numbers are closed under the given operation. If not, give a counterexample. 1) Addition 2) Subtraction 3) Multiplication 4) Division Closed = = 6 Not Closed = - 2 Closed Not Closed 2 8 = 0. 25

1) Addition 2) Subtraction 3) Multiplication 4) Division Closed = = 4 Closed = 12 Closed Not Closed A set of numbers is said to be ‘closed’ if the numbers produced under a given operation are also elements of the set. Tell whether the integers are closed under the given operation. If not, give a counterexample. Closure Property 2 8 = 0. 25

a product or quotient involving numbers and/or variables. Terms are separated in expressions by addition or subtraction. Numerical terms Examples: Variable terms Coefficient - The numeral in a variable term usually preceding the variable. Examples: 3x -2y m 1 Term-

Identify the terms in the expressions below. 1) 2) 3)

Evaluate the functions below when x = -3, -2, -1, 0, 1 1) y = 2x - 3 2) y = 7 - x 3) y = -x - 4 x y x y x y