Agenda Call Roll Introduce Class policies & procedures –Syllabus, textbook form, Student Handbook Info sheets Notes Icebreaker Assign HW.

Slides:



Advertisements
Similar presentations
Definition of Let b represent any real number and n represent a positive integer. Then, n factors of b.
Advertisements

2.1 Integers & Absolute Value 2.2 Adding Integers.
Essential Question: What are the rules for multiplying and dividing real numbers?
Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
INTEGERS: adding, subtracting, multiplying, and dividing
1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.
ADDING INTEGERS (SAME SIGNS)
Ch. 2-3 to 2-6 Adding, Subtracting, Multiplying, and Dividing Integers
7.1 - Introduction To Signed Numbers
Lesson 1-3: Mult/Div Real #s
Section 1.1 Numbers and Their Properties.
Chapter 1 Foundations for Algebra
Real Numbers Week 1 Topic 1.
1.1 – Real Numbers, Number Operations
Chapter 1 Learning Target: 10
Operations: Add, Subtract, Multiply, Divide
WARM-UP EXERCISES Insert grouping symbols to make the sentences true.
A Slide Show by Mr. Mark Martin. Integer Operations Integers are all the positive and negative numbers and zero. –In set notation: {... -2, -1, 0, 1,
1–2: Properties of Real Numbers. Counting (Natural) Numbers {1, 2, 3, 4, 5, …}
Addition, Subtraction, Multiplication, and Division of Integers
Evaluate Each Expression Lesson 2.1 Operations with Numbers.
Warm Up Simplify the following expression using order of operations.
Objectives: To evaluate and simplify algebraic expressions.
Quiz Review Properties and Integers Operations with Decimals Addition Subtraction Multiplication Division.
2-6 Multiplying Rational Numbers Objective: To multiply rational numbers.
Chapter 6 Section 4 Addition and Subtraction of Rational Expressions.
Fractions Math 173 DF Fall 2008 R. Raina. Overview ► Fraction Basics ► Types of Fractions ► Simplifying Fractions ► Multiplying and Dividing ► Adding.
1.1 Fractions Multiplying or dividing the numerator (top) and the denominator (bottom) of a fraction by the same number does not change the value of a.
1.5 ADDING AND SUBTRACTING REAL NUMBERS I can find the sums and differences of real numbers.
 Lets Review Integers (you do not need to write this part down)
Irving Middle School1 Integers Warm-Up Answer the Essential Question: When and where must you be able to solve problems with positive and negative numbers.
Thinking Mathematically Number Theory and the Real Number System 5.5 Real Numbers and Their Properties.
1-1 Properties of Real Numbers
Properties of Real Numbers Algebra A Unit 1, Lesson 4.
Real numbers In algebra, we work with the set of real numbers, which we can model using a number line. Real numbers describe real-world quantities such.
Cougar Time. Adding Negative Numbers  What are the two rules for adding integers?  Same Signs = Add and keep the sign  Different Signs = Find the absolute.
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.
Properties of Real Numbers
1–1: Number Sets. Counting (Natural) Numbers: {1, 2, 3, 4, 5, …}
Signed Rationals. What are signed rationals? Signed rationals are rational numbers with negative and positive signs. To solve signed rational problems:
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 5.5 Real Numbers and Their Properties.
Properties for Real Numbers Rules that real numbers follow.
Chapter 2 Real Numbers and algebraic expressions ©2002 by R. Villar All Rights Reserved Re-engineered by Mistah Flynn 2015.
Multiplying and Dividing Signed Integers
September 13, 2012 Working with Integers Warm-up: 1. Identify the property for: 3(1) = 3 2. Simplify: 6 + 3(9 – 1) + 2  Translate into an algebraic.
1.2 Properties of Real Numbers Activity
Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.
2.3 Multiplying Rational Numbers The product of numbers having the same sign is positive. The product of numbers having different signs is negative.
1.3.2 Multiplication and Division of Real Numbers SWBAT: 1) Multiply and divide real numbers 2) Connect and analyze properties for all basic operations.
Ch 3.1 Add and Subtract Signed Numbers Vocabulary Op posites :2 numbers the same distance from 0 but in opposite directions
1-1 Properties of Real Numbers Big Idea: -Graph, order, identify, and use properties of real numbers.
Chapter 5 Notes. 5-1 Compare/Order Rational Numbers Graph and compare the fractions in each pair: -(1/2), -(1/10) Order -(1/2), 3/4, -1, and 2/5 from.
Lesson 1-6 Multiplying and Dividing Real Numbers Pages
7 th Grade Math Vocabulary Word, Definition, Model Emery Unit 1.
Adding Integers KMS 7 TH GRADE. Adding Integers Rules  To add integers with the same sign: you add the absolute values and keep the sign.  Example A.
ADDING AND SUBTRACTING MULTIPLYING AND DIVIDING REAL NUMBERS.
CRCT Domain Review Numbers and Operations. Key Vocabulary  Rational Numbers  Any number that can be made by dividing one integer by another. The word.
INTEGERS Absolute Value Numbers and the Number Line Addition Subtraction Multiplication and Division Add/Subtract Matrices.
WARM UP The least common denominator of the fractions and is
1.2 Properties of Real Numbers
Integers Rules of Operation.
Real Numbers Terms: Natural numbers: 1,2,3,4,…
Properties of Real Numbers
Order of Operations & Real Numbers
Domain 1: The Number System
Section 5.5 Real Numbers and Their Properties
Section 5.5 Real Numbers and Their Properties
Integers & Absolute Value
Integers & Rational numbers
Interesting Integers!.
Presentation transcript:

Agenda Call Roll Introduce Class policies & procedures –Syllabus, textbook form, Student Handbook Info sheets Notes Icebreaker Assign HW

The Essential 55 by Ron Clark Rule 1: When responding to any adult, you should answer by saying “Yes ma’am” or “No sir.”

Notes 1.1 Addition and Subtraction

Reals Rationals (fractions, decimals) Integers (…, -1, -2, 0, 1, 2, …) Whole (0, 1, 2, …) Natural (1, 2, …) Irrationals (no fractions) pi, e The Real Number System

Rational vs. Irrational Rational numbers CAN be expressed as a fraction. Irrational numbers CANNOT be expressed as a fraction … … Decimals that end or repeat

The number line

1) … 2) … 3) Irrational Rational or Irrational? Rational Irrational4)

You Try … Rational or Irrational? 5) 6) 7) ) 9) …. Irrational Rational Irrational Rational

Absolute Value Distance from zero on a number line = 5 = 2

Signs are alike, ADD 10) -5 + (-9) = Addition 11) =

Signs are different, SUBTRACT 12) 23 + (-11) = keep the sign of the larger number Subtraction 13) = 12 -5

14) 5 – (- 4) 15) 8 – (- 9) 16) 23.7 – ) (-16) = = 9 = = 17 =17.8 = -28 You Try …

Adding and Subtracting Fractions 18) 19) 20)

If signs are the same, POSITIVE. 1) 5 (10) = Multiplication 2) -6 ( -9) = 50 54

If signs are different, NEGATIVE 3) 6(-7) = Multiplication 4) -4(5) =

Multiplying Fractions Multiply across 5) 6) 7)

Addition: a + b = b + a Multiplication: a b = b a Addition: a + (b + c) = (a + b) + c Multiplication:a (b c) = (a b) c Commutative Properties Associative Properties

5.) Use the commutative property of addition to write an expression equivalent to 3x + 4y 6.) Use the associative property of multiplication. to write an expression equivalent to 3x(7y 9z)

Addition: a + 0 = a Multiplication: a 1 = a Identity Properties 0 is the additive identity 1 is the multiplicative identity

= The identity property allows us to take an expression and multiply it by 1. This is 1. These two expressions are equivalent.

7.) Write an expression equivalent to by simplifying.

Reciprocal = 1

Division If signs are alike, POSITIVE. 10  5 = 8) 9) 2

If signs are different, NEGATIVE Division -10  5 = 10) 11) -2

Dividing Fractions Multiply by the reciprocal 12) 13) 14)

Zero

Homework Get syllabus signed Get book covered!!!!! Get notebook together Homework: 7-9/ mult. of 3, all