Polynomials 2. Dividing Monomials.

Slides:

Advertisements

Similar presentations

POLYNOMIALS – Dividing By a Monomial Dividing a polynomial by a monomial is simple. Rewrite your problem placing each term in the numerator separately.

Advertisements

Solving Multi-Step Equations with Like Terms and Parentheses.

Multiplying Monomials and Raising Monomials to Powers

Aim: How do we divide monomials?

11-2 Rational Expressions

Unit 6: Polynomials 6. 1 Objectives The student will be able to:

Math 025 Unit 5 Section 6.1. A fraction in which the numerator and the denominator are polynomials is called a rational expression. Examples: 3y 2 2x.

Objective 1: To multiply monomials. Objective 2: To divide monomials and simplify expressions with negative exponents.

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.

Bell Work 12/10. Objectives The student will be able to: 1. multiply monomials. 2. simplify expressions with monomials.

EXPONENTS. EXPONENTIAL NOTATION X IS THE BASE 2 IS THE EXPONENT OR POWER.

Chapter 6 Polynomial Functions and Inequalities. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the.

Dividing and Reducing Monomials

Monomials – Product and Quotient Remember your rules for multiplying and dividing variables…- When multiplying like variables, ADD your exponents When.

Simplify Rational Expressions

8.2 Dividing Monomials.

Negative and Zero 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.

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

Objectives The student will be able to: 1. divide monomials. 2. simplify negative exponents. SOL: A.10, A.11 Designed by Skip Tyler, Varina High School.

MONOMIAL MULTIPLICATION & DIVISION We added and subtracted monomials in the last section. It is time to multiply and divide monomials.

Negative and Zero Exponents

Objectives The student will be able to: 1. divide monomials. 2. simplify negative exponents.

Copyright © Cengage Learning. All rights reserved. Polynomials 4.

Objectives The student will be able to: 1. multiply monomials. 2. simplify expressions with monomials. SOL: A.2a Designed by Skip Tyler, Varina High School.

Monomials Interactive In Algebra County. There are 10 problems to work. Keep track of how many you get correct the first time. If you miss the problem,

Chapter 5: Polynomials Section 5-1: Monomial Operations 1. Monomial: a number, variable, or product of one or more numbers and variables. Examples: -5,

Warm Up Simplify the expression.. 7-2B Division Properties of Exponents RESTRICTION: Note: It is the variable that is restricted – not the exponent! Algebra.

7-2 Dividing Monomials Part 2 Power of a Quotient.

Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.

Dividing Monomials by Monomials. Think Back to September What is the exponent rule for dividing same bases? When dividing same bases subtract exponents.

Exponent Bingo.

Warm-up: Add 6 sticks to make 10. No breaking!

Simplifying Rational Expressions

Dividing Monomials Tammy Wallace.

Division Properties of Exponents

9.2 Dividing Monomials.

Dividing a Polynomial By a Monomial Lesson 27(2).

Objectives The student will be able to:

Goals 1. I can use the division properties of exponents to evaluate powers and simplify expressions. I can use the division properties of exponents to.

1# Objectives The student will be able to:

Exponents & Division.

Dividing monomials.

Lesson 7-2 Dividing Monomials

Week August 2015.

Dividing Monomials.

Exponent Bingo.

Polynomials 1. Multiplying.

Dividing Monomials Chapter 5 Section 5.2.

Dividing Monomials.

Division of a Polynomial by a Monomial

Dividing Monomials.

Objectives The student will be able to:

Division Properties of Exponents

Learning Target I can multiply and divide integers.

Objectives You will be able to:

Objectives The student will be able to:

Objectives The student will be able to:

Division Properties of Exponents

Objectives The student will be able to:

Objectives The student will be able to:

Objectives The student will be able to:

5.3 Multiplying Monomials

(-3a2bc4) (-3a2bc4) (-3a2bc4) (2ab3c) (2ab3c)

Presentation transcript:

Polynomials 2. Dividing Monomials

Learning Target I can….. 1. divide monomials. 2. simplify negative exponents. SOL: A.2ab Designed by Cassie DeLany

When dividing monomials, subtract the exponents. 1. 2. = b5-2 = b3 = m7-1n5-2 = m6 n3

= xy = 9a3b2

Simplify 48g2h2 48gh2 4g2h2 4gh2

= 1m0n = n Here’s a tricky one! They canceled out! What happened to the m? They canceled out! There are no m’s left over! This leads us to our next rule…

Zero Exponents Anything to the 0 power is equal to 1. a0 = 1 True or False? Anything divided by itself equals one. True! See for yourself!

Negative Exponents A negative exponent means you move the base to the other side of the fraction and make the exponent positive. Notice that the base with the negative exponent moved and became positive!

Simplify. x-4 y0 You can not have negative or zero exponents in your answer.

Simplify p2 p12 .

Simplify. You can’t leave the negative exponent! There is another way of doing this without negative exponents. If you don’t want to see it, skip the next slide!!!

Simplify (alternate version). Look and see (visualize) where you have the larger exponent and leave the variable in that location. Subtract the smaller exponent from the larger one. In this problem, r is larger in the numerator and s is larger in the denominator. Notice that you did not have to work with negative exponents! This method is quicker!

Simplify. Get rid of the negative exponent.

Simplify. Get rid of the negative exponents.

Get rid of the negative exponents. Simplify. Get rid of the parentheses. Get rid of the negative exponents.

Simplify .