Vance finds 8 + 6 by using derived facts.  Write a series of equations describing what Vance might have done.  For each question, give a brief 1-sentence explanation for why each step is valid, including the Associative and/or Commutative Properties of Addition.

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,...
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Vance finds 8 + 6 by using derived facts.  Write a series of equations describing what Vance might have done.  For each question, give a brief 1-sentence explanation for why each step is valid, including the Associative and/or Commutative Properties of Addition. 

Expert Solution
Step 1: Given

8 + 6 = (5 + 3) + (4 + 2)

Decomposing 8 and 6 into easier-to-work-with numbers using the Associative Property of Addition.

(5 + 3) + (4 + 2) = (5 + 4) + (3 + 2)

Rearranging the order of the numbers using the Commutative Property of Addition.

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