additive inverse associative commutative multiplicative cancellation additive identity distributive closure There are also three essential properties of the equality numbers reflexive symmetric transitive Finally, substitution plays a role in both sets of properties. In each of the boxes below enter one of the phrases from the list given above which identifies the just careful not to change the capitalization of the words in the list or put more than one space between Proof: Suppose that a is an integer. Then assertion justification a + 0 = a а- (а+ 0) € Z а - (а + 0) %3Dа - а а - а + а:0 — а- а а:а 3D а-а +0 а - а +а:0 3D а - а +0 a · 0 = 0
additive inverse associative commutative multiplicative cancellation additive identity distributive closure There are also three essential properties of the equality numbers reflexive symmetric transitive Finally, substitution plays a role in both sets of properties. In each of the boxes below enter one of the phrases from the list given above which identifies the just careful not to change the capitalization of the words in the list or put more than one space between Proof: Suppose that a is an integer. Then assertion justification a + 0 = a а- (а+ 0) € Z а - (а + 0) %3Dа - а а - а + а:0 — а- а а:а 3D а-а +0 а - а +а:0 3D а - а +0 a · 0 = 0
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:additive inverse
associative
commutative
multiplicative cancellation
additive identity
distributive
closure
There are also three essential properties of the equality numbers
reflexive
symmetric
transitive
Finally, substitution plays a role in both sets of properties.
In each of the boxes below enter one of the phrases from the list given above which identifies the justi
careful not to change the capitalization of the words in the list or put more than one space between th
Proof: Suppose that a is an integer. Then
assertion
justification
a + 0 = a
а (а + 0) € Z
а - (а + 0) %3 а а
а а +а:0 — а -а
а а — а.а +0
а : а +а:0 3D а - а +0
a · 0 = 0
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education