1 / 10

8.1 Multiplying Monomials Part 1

8.1 Multiplying Monomials Part 1. Objective: To be able to multiply monomials. Monomials. A monomial is an expression that is a number, a variable, or a product of a number and one or more variables. (Pretty much , it’s anything that is alone or connected ONLY by multiplication!)

trent
Download Presentation

8.1 Multiplying Monomials Part 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 8.1 Multiplying MonomialsPart 1 Objective: To be able to multiply monomials.

  2. Monomials A monomial is an expression that is a number, a variable, or a product of a number and one or more variables. (Pretty much, it’s anything that is alone or connected ONLY by multiplication!) 7 9xy -13xy2z 0 -3 No variables in the denominator!

  3. Monomial? Example 1: Determine whether each expression is a monomial. EXPLAIN! • x + y • m • y2z3

  4. Multiplying Monomials If the bases are the same and you’re multiplying, you add your exponents. Ex: x9= x∙x∙x∙x∙x∙x∙x∙x∙x x4 ∙ x5

  5. Multiplying Monomials Example 2: Bring the coefficients to the front and group the ‘like’ bases together. a. b. c. 23∙22 = 23+2 = 25 x2∙x4 = x2+4 = x6 = (2∙5)(n5+2) 2n5∙5n2 = (2∙5)(n5∙n2) = 10n7

  6. Multiplying Monomials Example 3: a. b. c. (-2x3)(1.5x-2) = (-2∙1.5)x3+-2 = -3x1 = -3x = (-1∙4)x5+7 = -4x12 (-x5)(4x7) (5m-2)(2.6m4) = (5∙2.6)m-2+4 = 13m2

  7. Multiplying Monomials Example 4: a6b3∙a-2b-2 = a6∙a-2∙b3∙b-2 = a4∙b1 = a4b

  8. Multiplying Monomials Area = length ∙ width Example 5: Express the area of the figure as a monomial. 3fg4 5f4g3 Area = (5f4g3)(3fg4) = (5∙3) (f4∙f) (g3∙g4) = 15f5g7 units2

  9. Checking for Understanding • Simplify: 9–1∙97∙9–2 • Simplify: –3x2(6x3 + 2x) • Simplify: (6d8)(–8d9)(6d)

  10. Homework 8.1 Part 1 Worksheet

More Related