1 / 12

Understanding the Multiplication Property of Equality: Simplifying Equations Effectively

This section focuses on the Multiplication Property of Equality, a fundamental concept in algebra. It states that if (a = b), then (a cdot c = b cdot c) for any nonzero real number (c). This property allows us to manipulate equations without changing their solutions. Through examples, we demonstrate how to simplify equations and solve for variables by multiplying both sides by the same nonzero number. Additionally, we cover specific cases involving decimals, reinforcing the application of this property across various equations.

neona
Télécharger la présentation

Understanding the Multiplication Property of Equality: Simplifying Equations Effectively

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. Columbus State Community College Chapter 6 Section 2 The Multiplication Property of Equality

  2. The Multiplication Property of Equality • Use the multiplication property of equality. • Simplify equations, and then use the multiplication property of equality.

  3. Multiplication Property of Equality Multiplication Property of Equality If a,b,c represent real numbers ( c ≠ 0 ), then the equations a = b and a c = b c are equivalent equations. In other words, we can multiply each side of an equation by the same nonzero number without changing the solution.

  4. 18x = 24 = 18x = 18 4 18x = 3 Dividing Each Side of an Equation by a Nonzero Number EXAMPLE 1 Dividing by a Nonzero Number Solve 18x = 24. 18x = 24 4 3

  5. 4 18 3 1 Dividing Each Side of an Equation by a Nonzero Number EXAMPLE 1 Dividing by a Nonzero Number Solve 18x = 24. Check 18x = 24 6 = 24 1 24 = 24 Balances

  6. 3.2 m 24.96 = 3.2 3.2 Solving an Equation with Decimals EXAMPLE 2 Solving an Equation with Decimals Solve 3.2 m = 24.96 . 3.2 m = 24.96 m = 7.8

  7. Solving an Equation with Decimals EXAMPLE 2 Solving an Equation with Decimals Solve 3.2 m = 24.96 . Check 3.2 m = 24.96 3.2 ( 7.8 ) = 24.96 24.96 = 24.96 Balances

  8. 2 = Solve . 30 w 5 5 5 2 w = 30 2 2 2 = 30 w 5 5 w = 75 Using the Multiplication Property of Equality EXAMPLE 3 Using the Multiplication Property of Equality 1 1 15 1 1 1

  9. 2 = Solve . Check 30 w 5 2 w = 30 5 2 = 30 ( 75 ) 5 = 30 Using the Multiplication Property of Equality EXAMPLE 3 Using the Multiplication Property of Equality 30 Balances

  10. –1 h 15 = –1 –1 Coefficient of the Variable is –1 EXAMPLE 4 Using the Multiplication Property of Equality Solve –h = 15. Method 1 Method 2 –h = 15 – h = 15 –1h = 15 –1h = 15 –1 ( –1 h ) = –1 ( 15 ) h = –15 h = –15

  11. Coefficient of the Variable is –1 EXAMPLE 4 Using the Multiplication Property of Equality Solve –h = 15. Check –h = 15 –1 ( –15 ) = 15 15 = 15 Balances

  12. The Multiplication Property of Equality Chapter 6 Section 2 – Completed Written by John T. Wallace

More Related