Algebra 1

by Hall, Prentice

Published by Prentice Hall

ISBN 10: 0133500403

ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-4 Properties of Real Numbers - Practice and Problem-Solving Exercises - Page 28: 55

Answer

No, division is not associative

Work Step by Step

If division were associative, changing the grouping of the terms being divided would not affect the quotient. This is not the case. For example, $(4\div2)\div2=2\div2=1$, but $4\div(2\div2)=4\div1=4$. Since these quotients are not the same, division is not associative.

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