## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5: 99

#### Answer

The statement is false. A corrected statement that is always true is: $2\cdot a + 5 = a \cdot 2+5$

#### Work Step by Step

The statement is false. Simplifying both sides gives us the statement: $2a+5=5a+2$ This is a conditional statement which is true only when $a=1$. A corrected statement that is true for all values of $a$ would be: $2\cdot a + 5 = a \cdot 2+5$

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