Distributive Property (with integers). Distributive Property To multiply a number by a sum/difference of two terms, you can multiply that number by each.

Slides:



Advertisements
Similar presentations
Bell Work Simplify the expression: 1. 2(x +4) 2. 4x + 3y – x + 2y 3. 3(x – 6) x Answers: 2x+ 8 3x + 5y 11x – 14.
Advertisements

Homework Read Pages 327, , , , , Page 335: 17, 18, 57, 93 – 97 Page 344: 7, 12, 14, 39, 40, 43 Page 353: 5, 6, 10,
Objective 10 Properties of addition and multiplication © 2002 by R. Villar All Rights Reserved.
In this lesson, you will be shown how to combine like terms along with using the distributive property.
EXAMPLE 3 Combining Like Terms a. 3x + 4x = (3 + 4)x = 7x b.
The Distributive Property & Combining Like Terms.
Distributive Property O To distribute and get rid of the parenthesis, simply multiply the number on the outside by the terms on the inside of the parenthesis.
Exercise Simplify 5x + 3y – x + 10y. 4x + 13y. Simplify 74 – 5m – 2m – 8. – 7m + 66 Exercise.
 The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.
Integer Exponents 8 th Grade. Simplify Negative Exponents.
Chapter 2 Section 5 Multiplying Integers. Multiplying Two Integers with Different Signs Words: The product of two integers with different signs. Numbers:
Power Rule for Exponents The Power Rule for Exponents is used when we raise a power to an exponent. Example 1: Simplify the following.
Warm Up (3 + 6) = (4 + 3) a(b – c) = ab – ac = 0 4. (ab)c = (ac)b = 5 6. Name each property Answers 1.Associative property.
Warm Up Simplify. 1 3 Course (2x + 6) 3. 6 (x + 2)  8x + 4   + 3x.
Objective - To multiply integers. Signs are the same Signs are different Simplify. 1) 2) 3) 4) 5) 6)
Operations on rational numbers
Lesson 1-4: The Distributive Property Objectives: (Do not write) Use the distributive property to multiply expressions. Students will use properties to.
Distributive Property a(b + c) = ab + ac What does distribute mean? To distribute means to disperse or pass out. Think about a paper boy. What does he.
The Distributive Property. Properties The Distributive Property To distribute means to separate or break apart and then dispense evenly. The Distributive.
Warm Up What is each expression written as a single power?
Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.
Analyzing Equations and Inequalities Objectives: - evaluate expressions and formulas using order of operations - understand/use properties & classifications.
2.3 Multiplying Rational Numbers The product of numbers having the same sign is positive. The product of numbers having different signs is negative.
Ch 2.5 Objective: To multiply integers.. Properties Commutative Property: a * b = b * a Two numbers can be multiplied in either order and the result is.
Notes Rev.3 Multiply Polynomials Distributive Property FOIL Boxes Square Binomials Mentally.
1 Math I can create equivalent expressions. Using the Distributive Property.
Objective The student will be able to: multiply two polynomials using the distributive property.
Chapter 2 Integers + - * ÷.
Unit 3 Solving Inequalities. Solving Linear Equations 1) Simplify both sides of the equation a) Distributive Property (look for parentheses) b) Combine.
Combine Like Terms and Distributive Property. IN THIS LESSON, YOU WILL BE SHOWN HOW TO COMBINE LIKE TERMS ALONG WITH USING THE DISTRIBUTIVE PROPERTY.
Is the answer to 3 x (-2) positive or negative? How do you know?
Objective The student will be able to: use the distributive property to simplify expressions.
Distributive Property. Mix Problems Homework Distributive Property.
Distributive property Pick 2 different colored highlighters.
Distributive Property Part II Pick up 2 different colored highlighters.
The Distributive Property. A (B + C) = AB + AC -A (B + C) = -AB - AC The distributive property says that a number next to the parentheses can be multiplied.
Combine Like Terms and Distributive Property Mrs. Lovelace January 2016 Edited from… mrstallingsmath.edublogs.org.
Properties of Real Numbers
Properties of Operations
Combine Like Terms and Distributive Property
The Distributive Property
Distributive Property
Multiplying Variables &
Properties of Real Numbers
LIKE TERMS DEFINITION:
Combining Like-Terms with Distributive Property
Mathematic Properties Review
Properties for Addition and Multiplication only
Algebraic Properties.
Combine Like Terms and Distributive Property
Multiplying Rational Numbers 2-3
Lesson 1-4: The Distributive Property
Simplifying Algebraic Expressions
Properties of Real Numbers
Warm-up September 19, 2016 Solve using the Order of Operations PE(MD)(AS): * 4 – 6 * 14 = (4 * 5) + (6 * 9) ÷ 2 = 4.8 ÷ 2 * 12 = SHOW ALL YOUR.
Properties of Real Numbers
Properties of Real Numbers
SIMPLIFY THE EXPRESSION
The Distributive Property
Simplifying Expressions
Simplifying Algebraic Expressions
Analyzing Equations and Inequalities
Title of Notes: Combining Like Terms & Distributive Property
Bellwork: 1/23/ (w + 1) 2. 3x(x2 – 4) 3. 4h2 and 6h
The Distributive Property Guided Notes
Factoring.
Exercise Find the following products mentally. 5(20) 100 5(7) 35 5(27)
Using the Distributive Property to Simplify Algebraic Expressions
Properties of Numbers Review Problems.
Presentation transcript:

Distributive Property (with integers)

Distributive Property To multiply a number by a sum/difference of two terms, you can multiply that number by each term and add/subtract the two products. a(b + c) = ab + ac d(e – f) = de - df

Distributive Property – Example #1 Simplify. 8(2g - 5) 16g- 40

Distributive Property – Example #2 Simplify. -6(-y + 4) 6y - 24

Distributive Property – Example #3 Simplify. -(-4 - 2b) 4+ 2b Multiply by -1 Distributing a negative is the same as taking the opposite of each term inside the ( ).

Distributive Property – Practice #1 -(a + 3) -a - 3

Distributive Property – Practice #2 -(-4 – 2b) 4 + 2b

Distributive Property – Practice #3 6(-y – 4) -6y - 24

Distributive Property – Practice #4 -7(x + 2) -7x - 14

Distributive Property – Practice #5 -5(4 – y) y

Distributive Property – Practice #6 -6(-a – 2) 6a + 12

Distributive Property – Practice #7 3(-3k + 5) -9k + 15

Distributive Property – Practice #8 4 (d – 8) 4d - 32

Distributive Property – Practice #9 2(-4 + 6)

Distributive Property – Practice #10 -5(-w – 8) 5w + 40