Carmen has learned an algorithm for subtraction. She uses it to find 54−18 as follows.   54+10=64 so 54+10=50+14 −​(18+​10)=−28 so −​(18+​10)=−​(20+8​)   So her answer is 30+6=36.   ​(a) What properties does​ Carmen's algorithm​ use? Is her method​ correct? ​(b) Now solve another subtraction​ problem, 73−36​, with​ Carmen's algorithm. Use the traditional algorithm to check your work

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6CC: When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can...
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Carmen has learned an algorithm for subtraction. She uses it to find
54−18 as follows.
 
54+10=64
so
54+10=50+14
−​(18+​10)=−28
so
−​(18+​10)=−​(20+8​)
 
So her answer is
30+6=36.
 
​(a) What properties does​ Carmen's algorithm​ use? Is her method​ correct?
​(b) Now solve another subtraction​ problem, 73−36​,
with​ Carmen's algorithm. Use the traditional algorithm to check your work.
 
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