Thinking Mathematically (6th Edition)

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

Chapter 1 - Problem Solving and Critical Thinking - 1.1 Inductive and Deductive Reasoning - Exercise Set 1.1: 4

Answer

The sum of two three-digit numbers, $105$ and $110$, is a three dig number $215$, and not a four-digit number.

Work Step by Step

We need to find a counterexample to the statement that the sum of two three-digit numbers is a four-digit number. One such example would be numbers $105$ and $110$. $105 + 110 = 215$ $215$ is not a four-digit number. The sum of two three-digit numbers, $105$ and $110$, is a three dig number $215$, and not a four-digit number.
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