Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.2 The Commutative, Associative, and Distributive Laws - 1.2 Exercise Set - Page 17: 90



Work Step by Step

In multiplication, like in addition, it has two of the same numbers multiplying themselves. In division, however, like subtraction, two expressions where the order has changed actually have 4 numbers. If you multiply $3$ and $5$ or $5$ and $3$, you get $15$ no matter what. With division, the expression $3\div5$ is equal to $3\times\frac{1}{5}$, which equals $0.6$. $5\div3$ however, is equal to $5\times\frac{1}{3}$, which equals $1.666...7$. You can also see my model below, regarding out the method of division makes it non commutative.
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