2. DISCUSS: Commutative and Noncommutative Operations We have seen that addition and multiplication are both com- mutative operations. (a) Is subtraction commutative? (b) Is division of nonzero real numbers commutative? (c) Are the actions of putting on your socks and putting on your shoes commutative? (d) Are the actions of putting on your hat and putting on your coat commutative? (e) Are the actions of washing laundry and drying it commutative? () Give an example of a pair of actions that are commutative. (g) Give an example of a pair of actions that are not commutative.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.2: Order Of Operations
Problem 38PPS
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2. DISCUSS: Commutative and Noncommutative Operations
We have seen that addition and multiplication are both com-
mutative operations.
(a) Is subtraction commutative?
(b) Is division of nonzero real numbers commutative?
(c) Are the actions of putting on your socks and putting on
your shoes commutative?
(d) Are the actions of putting on your hat and putting on
your coat commutative?
(e) Are the actions of washing laundry and drying it
commutative?
() Give an example of a pair of actions that are
commutative.
(g) Give an example of a pair of actions that are not
commutative.
Transcribed Image Text:2. DISCUSS: Commutative and Noncommutative Operations We have seen that addition and multiplication are both com- mutative operations. (a) Is subtraction commutative? (b) Is division of nonzero real numbers commutative? (c) Are the actions of putting on your socks and putting on your shoes commutative? (d) Are the actions of putting on your hat and putting on your coat commutative? (e) Are the actions of washing laundry and drying it commutative? () Give an example of a pair of actions that are commutative. (g) Give an example of a pair of actions that are not commutative.
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