Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 364: 117

Answer

The multiplication property of equality states that in an equation which is equal if something is multiplied in the left hand side of the equation then the same number has to be multiplied in the right hand side too.

Work Step by Step

The multiplication property of equality states that in an equation which is equal if something is multiplied in the left hand side of the equation then the same number has to be multiplied in the right hand side too. This property maintains the equality of the right hand side and the left hand side of the equation. For example: Consider the equation: $3=3$ In the above equation, if 2 is multiplied in the left hand side of the equation then 2 has to be multiplied in the right hand side of the equation to maintain the equality. This is shown below, $\begin{align} & 3\times 2=3\times 2 \\ & 6=6 \end{align}$ Thus, the multiplication property is explained in the above paragraph.
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