Multiplying and Dividing Monomials 4.3 Monomial: An expression that is either a: (1) numeral or constant, ex : 5 (2)a v ariable, ex: x (3)or a product.

Slides:

Advertisements

Similar presentations

Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.

Advertisements

Aim: How do we divide monomials?

Multiplying and Dividing Monomials. Objectives: Understand the concept of a monomial Use properties of exponents to simplify expressions.

Chapter 6 Polynomials.

Simplifying a Variable Expression

7.1 – Multiplying Monomials. x · x = x 1 · x 1 =

Laws of Exponents: Dividing Monomials Division Rules for Exponents.

6.2 Multiplying Monomials CORD Math Mrs. Spitz Fall 2006.

1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

Multiplying and Dividing Real Numbers Objective: To multiply and divide real numbers.

8.1 Multiplying Monomials

Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To.

Properties of Exponents

5.1 Monomials Monomial Standard Notation Scientific Notation.

6.1 Properties of Exponents

WARM UP 3 SIMPLIFY THE EXPRESSION ● (2 3 ) 2.

Distributive Property Jeopardy By Grace Padgett & Theresa Nguyen.

To multiply a polynomial by a monomial Multiply the numbers together Multiply the same letters together by adding the exponents Ex – 3x 3 y 6 z 8 ( 5x.

 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.

Properties of Exponents

California Standards AF2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results.

Evaluating Algebraic Expressions 4-4 Multiplying and Dividing Monomials Math humor: Question: what has variables with whole-number exponents and a bunch.

10/24/ Simplifying, Multiplying and Dividing Rational Expressions.

Bell Ringer 9/18/15 1. Simplify 3x 6x 2. Multiply 1 X Divide 2 ÷

Simplifying Algebraic Expressions

5.3 Multiplying and Dividing Monomials Goals: To multiply and divide monomials.

Chapter 8 – Exponents and Exponential Functions 8.1/8.3 – Multiplication and Division Properties of Exponents.

4.1 Properties of Exponents

8 4 Multiply & Divide Rational Expressions

5-1 Monomials Objectives Students will be able to: 1)Multiply and divide monomials 2)Use expressions written in scientific notation.

From Area Formulas to Algebra

A. – b. 8 – 19 c. – 15 – (– 15) d. – 10 + (– 46) Problems of the Day Simplify. e. f. g. h.

Section 5.1a Monomials. Def: A monomial is an expression that is a number, a variable or the product of a number and one or more variables. Constants.

Get out Page 212 Add this problem to Page 212. a.)

Do Now: Silently, independently, on the back of you Guided Notes.

Warm-up Answers:. Homework Answers: P3 (55-58 all, all, odds, all) /1690.

Define and Use Zero and Negative Exponents February 24, 2014 Pages

Properties of Exponents Examples and Practice. Product of Powers Property How many factors of x are in the product x 3 ∙x 2 ? Write the product as a single.

(have students make a chart of 4 x 11

Algebra 2 Lesson 7-2 (Page 368) ALGEBRA 2 LESSON 7-2 Multiplying and Dividing Radical Expressions 7-2.

LESSON 4-7 EXPONENTS & MULTIPLYING. When we multiply terms with exponents  ADD exponents of like variables.

Section 6-2 Day 1 Apply Properties of Rational Exponents.

Multiplying Monomials. Monomials A monomial is a number, a variable, or a product of a number and one or more variables. An expression involving the division.

Lesson 8.2 Notes Quotient of Powers- to divide two powers that have the same base, subtract the exponents – Ex: Power of a Quotient- to find the power.

Algebra 2 Multiplying, Dividing, Rationalizing and Simplifying… Section 7-2.

Exponents and Monomials. Monomial is an expression that is a number, a variable, or a product of a number and variables. Constant is a monomial containing.

Multiplying with exponents

Distributive Property Multiply and Divide polynomials by a constant worksheet.

Exponent Bingo.

7-1 Multiplication Properties of Exponents

8-2 Multiplying Polynomials

Apply Exponent Properties Involving Quotients

Aim: What are the product and power rules of exponents?

Objectives The student will be able to:

Exponents and Monomials

Multiplying and Dividing Monomials

Exponents and Monomials Lesson

Exponents and Monomials

Exponent Bingo.

B11 Exponents and Scientific Notation

Division of a Monomial by another Monomial

Exponents and Monomials

7.4 Properties of Exponents

7-2 Multiplying powers with the same base.

Exponents and Monomials

5.3 Multiplying Monomials

Warm Up Simplify: 5(b+4) 2)-3(2x+5) 3)4(-8-3q) 4)- 6(2b-7)

Presentation transcript:

Multiplying and Dividing Monomials 4.3

Monomial: An expression that is either a: (1) numeral or constant, ex : 5 (2)a v ariable, ex: x (3)or a product of numerals and variables ex: 5x (4)variables with whole number exponents. Ex: x² If the monomial is a numeral, it is called a constant. Excludes: “+”, “-”, and if exponent is negative or a fraction. 4x 3 x x 2 y

x 3 means: x x x x 2 means: x x x 3 x 2 means (x x x) (x x) x5x5 Multiplying Powers with the same base: X m x n = x m+n

Simplify. Express using exponents = 8 7

Simplify. Express using exponents. y y 2 y 6 y = y 9

Multiply 2 monomials using “properties” (3x 4x) = (3 4)(x x) = 12x 2 (Associative and Commutative) Group the numbers together and then group the same variables together (3x 2 )(-x) = (3x 2 )(-1x) = (3 - 1)(x 2 x) = -3x 3 (-7x 2 y 5 )(4xy 3 ) (-7 4)(x 2 x)(y 5 y 3 ) -28x 3 y 8

Simplify. Express using exponents. (mn 2 ) (m 4 n 6 ) m 1+4 n 2+6 = m 5 n 8

Simplify. Express using exponents. (7x2y4) (3x4y6)(7x2y4) (3x4y6) x 2+4 y 4+6 = 21x 6 y 10 21

Simplify. Express using exponents. (9x3y2) (6x5y3)(9x3y2) (6x5y3) 54x 8 y 5

Multiply: (-3y 3 )(4xy 5 ) = -12xy 8

Dividing Powers with the same base: X m ÷ x n = x m-n Dividing Powers with the Same Base

Simplify. Express using exponents.

Divide monomials using properties: Group the numbers together and either divide or reduce and then group the like bases together.

Simplify. Express using exponents.

4

Divide monomials using properties:

Simplify:

Homework CA Math Page 150 (20-60) even