Thinking Mathematically (6th Edition)

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

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5: 85

Answer

The distributive property of multiplication over addition states that for any real numbers $a, b, $ and $c$: $a \cdot (b + c)= a \cdot b + a \cdot c$ In other words, distributing a number that is being multiplied by a set of parentheses to every term inside of the parentheses is a valid step. Example: $3 \cdot(4 + 5) = 3 \cdot 4 + 3 \cdot 5$ Notice that both are equal to 27.

Work Step by Step

The distributive property of multiplication over adition states that for any real numbers $a, b, $ and $c$. $a \cdot (b + c)= a \cdot b + a \cdot c$ Example: $3 \cdot(4 + 5) = 3 \cdot 4 + 3 \cdot 5$ Notice that both are equal to 27.
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