Explain why the multiplication and division property of equality can be considered the same property.
Explanation of Solution
Given:
The multiplication and division properties of equality
Concept Used:
The multiplication and division properties of equality state that if you multiply or divide both sides of an equation by the same number, then both sides are still equal.
In other words, if
Property | Name of the Property |
Multiplication Property of Equality | |
Division Property of Equality |
They can consider the same property because when you multiply (or divide) each side by a number. It`s mean you are also divide (multiply) each side by the reciprocal of this number.
In my opinion, I think they are the same, it`s belong to the equation to choose which one is more suitable. However, with High school student, the multiplication property is one of the most commonly property for solving equation.
Calculation:
Multiplication Property of Equality:
Division Property of Equality:
The principle of equality means that the information on either side of an equals sign must be worth the same amount. Think of it in terms of weight: if we have five apples on one side of a scale, and two melons on the other side, the scale will be balanced:
Thus, multiplication Property of Equality:
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Introductory Statistics
Calculus: Early Transcendentals (2nd Edition)
A First Course in Probability (10th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education