Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - Summary Exercises - Operations with Signed Numbers: 57

Answer

Similar: (1) when the signs of the numbers are the same, the result is positive, and (2) when the signs are different, the result is negative. Different: (1) Keep in mind the multiplication is commutative (because $a \times b = b \times a$). Division is not commutative. (2) $0$ can be multiplied to any number. However, division of $0$ is not allowed as it is undefined.

Work Step by Step

Multiplication and division of signed numbers are similar because (1) when the signs of the numbers are the same, the result is positive, and (2) when the signs are different, the result is negative. Some differences are: (1) Keep in mind the multiplication is commutative (because $a \times b = b \times a$). Division is not commutative. (2) $0$ can be multiplied to any number. However, division of $0$ is not allowed as it is undefined.
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