1. Let a and b be real numbers. Define an operation * by a*b=a. a. Is the set of real numbers closed under the operation *? Why or why not? b. Is the operation * commutative on the set of real numbers? Why or why not? c. Is the operation * associative on the set of real numbers? Why or why not?
1. Let a and b be real numbers. Define an operation * by a*b=a. a. Is the set of real numbers closed under the operation *? Why or why not? b. Is the operation * commutative on the set of real numbers? Why or why not? c. Is the operation * associative on the set of real numbers? Why or why not?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.3: Properties Of Numbers
Problem 21PPS
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1. Let a and b be real numbers. Define an operation * by a*b=a.
a. Is the set of real numbers closed under the operation *? Why or why not?
b. Is the operation * commutative on the set of real numbers? Why or why not?
c. Is the operation * associative on the set of real numbers? Why or why not?
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