September 13, 2012 Working with Integers Warm-up: 1. Identify the property for: 3(1) = 3 2. Simplify: 6 + 3(9 – 1) + 2  5 2 3. Translate into an algebraic.

Slides:

Advertisements

Similar presentations

Algebra 1 Glencoe McGraw-Hill JoAnn Evans

Advertisements

Chapter 6 Polynomials.

Solving Linear Equations

Laws of Exponents. Day 1: Product and Quotient Rules EXP 1.1 I can use the Product and Quotient Rules to simplify algebraic expressions.

INTEGERS: adding, subtracting, multiplying, and dividing

Rules for Multiplying and Dividing Integers

Integer Rules. Adding with the same sign Rules Rules Add like normal Add like normal Keep the sign Keep the sign Examples Examples = -22 (all.

ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) = +5 When a number is positive, you do not.

Rules of Integers. Positive numbers are numbers that are above zero. Negative numbers are numbers below zero.

Taks Objective 2 Properties and attributes of function.

Operations: Add, Subtract, Multiply, Divide

A dding two negative integers: add the absolute values the answer is negative Adding a negative and a positive number: subtract the absolute values the.

Adding and Subtracting Integers To add integers with the same sign, add their absolute values and then change the sign to the sign of the addends. Positive.

Solve the equation -3v = -21 Multiply or Divide? 1.

§ 1.2 Operations with Real Numbers and Simplifying Algebraic Expressions.

Warm-Up 1. f( g(x)) = ____ for g(x) = 2x + 1 and f(x) = 4x , if x = 3 2. (f + g)(x) = ____ for g(x) = 3x2+ 2x and f(x) = 3x (f/g)(x)

February 14 th copyright2009merrydavidson. RATIONAL EXPONENTS 1) Anything to a power of zero =. 1 1.

Chapter 2 Section 5 Multiplying Integers. Multiplying Two Integers with Different Signs Words: The product of two integers with different signs. Numbers:

Integers All whole numbers and their opposites including the number 0.

Pre-Algebra 2-3 Multiplying and Dividing Integers 2-3 Multiplying and Dividing Integers Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day.

Operations with Integers

September = = = =

Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions,

Objective - To subtract integers. To subtract an integer is to add its opposite. a - b =a + -b = (-5) =8 + 5 = = 4 Rewrite the.

Subtracting Integers Algebraically. How to Subtract Integers Algebraically 1.Rewrite the problem  Keep the first number the same  Change the problem.

Warm-Up Complete each statement with. 1. −9 −2 2.−80 −81 Find the value of each expression. 3.− −6 + (−8) 5.− −5 + (−15) + (−10)

Chapter 1 Sections 1-5 and 1-6 I Can... Use rules to add and subtract integers. Identify and combine like terms. HW: Instructional Fair (Prealgebra) W.S.

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|

Adding, Subtracting, Multiplying, and Dividing Real Numbers.

MULTIPLYING RATIONAL NUMBERS IF THE SIGNS ARE THE SAME, MULTIPLY THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. (+4)(+5) = (-4)(-5) = (3)(6) = (-10)(-4)

Pre-Algebra 2-3 Multiplying and Dividing Integers Today’s Learning Goal Assignment Learn to multiply and divide integers.

Notes Over 2.8 Rules for Dividing Negative Numbers. ( Same as Multiplying ) If there is an even number of negative numbers, then the answer is Positive.

September 11, 2012 Properties and Integers Warm-up: Order of Operations 1.Simplify (3 – 5) – 4  Challenge: Your objective is to use the digits.

Multiplying and Dividing Signed Integers

Adding, Subtracting, Multiplying, and Diving Integers!!!

Adding and Subtracting Polynomials 1/6/2014. Example 1 Add Polynomials Vertically a. Add and 2x 32x 3 x9 + 4x 24x 2 + – x 3x 3 5x5x1 6x 26x 2 – + – 3x.

Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.

GEMAGEMA Grouping symbols ( ) [ ] {} | | Exponential Operations Multiplicative Operations Additive Operations.

September 19, 2012 More multi-step equations and consecutive integer problems Warm-up: Do one group’s multi-step review sheet. When you are done, compare.

Applied Algebra B Lesson: 2 – 3 Adding Integers Objective: Learn to add integers.

Unit 1 Rational Numbers Integers.

Math in the Workplace Negative numbers.

Ch 3.1 Add and Subtract Signed Numbers Vocabulary Op posites :2 numbers the same distance from 0 but in opposite directions

Same Signs Different Signs 1) =+7 Objective- To solve problems involving operations with integers. Combining.

Integer Review If you are combining two numbers with: SAME SIGNS YOU ADDTAKE THE SIGN OF THE LARGER NUMBER DIFFERENT SIGNS YOU SUBTRACT TAKE THE SIGN.

Warm-up Answer the following: – Addition of integers 1) 3 + (-8) = 2) – = 3) – 5 + (-4) = 4) 5 + (-3) 5) – – Subtraction of integers 6) 7.

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.

2.2 Addition of Real Numbers 2.3 Subtraction of Real Numbers Objectives: -add real numbers using a number line or addition rules -Subtract real numbers.

ADDING AND SUBTRACTING MULTIPLYING AND DIVIDING REAL NUMBERS.

1.5 Adding Integers. Adding Integers! When adding two positive numbers, Start at 5 Move to the right 7 spaces Answer : 12.

Bell Quiz. Objectives Multiply and Divide signed numbers. Discuss the properties of real numbers that apply specifically to multiplication. Explain the.

More Distributive Property Let’s see how we are doing?

Integers Rules of Operation.

Adding, Subtracting, Multiplying, and Dividing Integers

Adding, Subtracting, and Multiplying Radical Expressions

Multiply the following rational expressions. Show work!

Solve for variable 3x = 6 7x = -21

Multiplying and Dividing Signed Integers

Lesson 1.1 How do you evaluate and write variable expressions?

Adding, Subtracting, and Multiplying Radical Expressions

Operations with Integers

The Integer Song.

 Warm-up: n HW: Pg. 10 (40) Pg. 12 (75, 79, 84, 85, 8996, 110)

1 Introduction to Algebra: Integers.

Warm-up September 14, 2016 Change to a decimal: 644% 23%

Operations with Integers

Review of Integers and Solving Equations

Multiplying and Dividing Signed Integers

Multiplying and Dividing Signed Integers

Adding, Subtracting, and Multiplying Radical Expressions

Presentation transcript:

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 equation: 5 less than the product of 2 and a number is |-13| - |8|5. What type of real number is -8? (there is more than 1 answer) HW: 2.1 WS #2- 30even, skip 22

Combining Integers The sign of the integer determines whether you add or subtract. “+” positives“−” negatives So, = (-1)= = -2

“Subtracting” Integers Adding the opposite a)5 – (-3) b) -5 – (-3) c) 5 – 3 d) -5 – 3

Rules for Combing Integers SAME SIGN DIFFERENT SIGN SUM DIFFERENCE Practice (-4) (-23) 3. 5 − (-27) − 18 + (-2) (-8) − (-3)

Simplifying Algebraic Expressions Combining Like Terms Example: 4(2x – y) + 3(-5x – 2) Practice: 6. 8(x + 4) + 3(-9x + 2)7. 3x – (-5y) – 12y – x

Rules for Multiplying and Dividing one negative = negative two negatives = positive ── ── ── Examples: 1. (-11)(-3)2. 4(-8) 3. -2(-3)(-1) Simplify: 4. (-3x)(-2y)5. 4x(-x)6.

Using integer rules to simplify expressions 1. 2x – 3y – 8x (3x – 4) 3. 7(-x + 4) – (x – 2) 4.