Basic College Mathematics (9th Edition)

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

Chapter 9 - Basic Algebra - 9.3 Multiplying and Dividing Signed Numbers - 9.3 Exercises: 101

Answer

(a) $$8 \times (-1) = -8 \\88 \times (-1) = -88 \\888 \times (-1) = -888$$ (b) $$-8 \times (-1) = 8 \\-88 \times (-1) = 88 \\-888 \times (-1) = 888$$ When $-1$ is multiplied to a signed number, the product is the signed number's opposite or additive inverse.

Work Step by Step

(a) Product of a positive number and $-1$ examples: $$8 \times (-1) = -8 \\88 \times (-1) = -88 \\888 \times (-1) = -888$$ (b) Product of a negative number and $-1$ examples: $$-8 \times (-1) = 8 \\-88 \times (-1) = 88 \\-888 \times (-1) = 888$$ From the examples above, it can be seen that when $-1$ is multiplied to a signed number, the product is the signed number's opposite or additive inverse.
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